Book:Books

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Lecture Notes

Journals

General

1202: Leonardo Fibonacci: Liber Abaci
1225: Leonardo Fibonacci: Liber Quadratorum
1303: Chu Shih-chieh: The Precious Mirror of the Four Elements
c. 1350: Nicole Oresme: Algorismus proportionum
c. 1350: Nicole Oresme: De proportionibus proportionum
1484: Nicolas Chuquet: Triparty en la Science des Nombres
1494: Fra Luca Pacioli: Summa de Arithmetica
1543: Robert Recorde: The Grounde of Artes
1545: Gerolamo Cardano: Artis Magnae, Sive de Regulis Algebraicis
1546: Nicolo Tartaglia: Quesiti, et Inventioni Diverse ("Questions, and Various Inventions")
1551: Robert Recorde: The Pathway to Knowledge
1556: Nicolo Tartaglia: General Trattato di Numeri et Misure ("General Treatise on Number and Measure")
1557: Robert Recorde: The Whetstone of Witte
1572: Rafael Bombelli: L'Algebra
1585: Simon Stevin: De Thiende
1617: John Napier: Rabdologiae
1622: Jean Leurechon: Selectæ Propositiones in Tota Sparsim Mathematica Pulcherrimæ
1629: Albert Girard: Invention Nouvelle en l'Algèbre
1631: Thomas Harriot: Artis Analyticae Praxis ad Aequationes Algebraicas Resolvendas (published posthumously)
1659: Johann Heinrich Rahn: Teutsche Algebra
1678: Edward Cocker: Arithmetick
1685: John Wallis: A Treatise on Algebra
1706: William Jones: Synopsis Palmariorum Matheseos
1707: Isaac Newton: Arithmetica Universalis
1716: John Hill: Arithmetick, Both in the Theory and Practice
1743: Thomas Simpson: Mathematical Dissertations on Physical and Analytical Subjects
1762: Edward Waring: Miscellanea Analytica
1770: Edward Waring: Meditationes Algebraicae
1779: Étienne Bézout: Théorie Générale des Équations Algébriques
1796: William Frend and Francis Maseres: The Principles of Algebra
1814: Peter Barlow: A New Mathematical and Philosophical Dictionary
1817: Thomas Leybourn: The Mathematical Questions Proposed in the Ladies' Diary and Their Original Answers

1845: Alfred Wrigley and William H. Johnstone: Examples and Problems in Pure and Applied Mathematics

1876: Carl Friedrich Gauss: Werke

1902: W.P. Workman and R.H. Chope: The Tutorial Arithmetic
- 1906: W.P. Workman and R.H. Chope: The Tutorial Arithmetic (2nd ed.)
- 1908: W.P. Workman and R.H. Chope: The Tutorial Arithmetic (3rd ed.)
- 1947: W.P. Workman, R.H. Chope and Geoffrey Bosson: The Tutorial Arithmetic (4th ed.)
- 1954: W.P. Workman and Geoffrey Bosson: The Tutorial Arithmetic (5th ed.)
- 1963: W.P. Workman and Geoffrey Bosson: The Tutorial Arithmetic (6th ed.)

1911: William Carmichael McIntosh, John Edward Aloysius Steggall and James Colquhoun Irvine: University of Saint Andrews Five Hundredth Anniversary Memorial Volume
1918: W.R. Paton: The Greek Anthology Book XIV
1932: Clement V. Durell: Advanced Algebra: Volume $\text { I }$
1933: Heinrich Dörrie: Triumph der Mathematik
1936: Lancelot Hogben: Mathematics for the Million
1938: A. Geary, H.V. Lowry and H.A. Hayden: Mathematics for Technical Students, Part One
1939: A. Geary, H.V. Lowry and H.A. Hayden: Mathematics for Technical Students, Part Two

1941: Richard Courant and Herbert Robbins: What is Mathematics?
- 1996: Richard Courant, Herbert Robbins and Ian Stewart: What is Mathematics? (2nd ed.)

1945: A. Geary, H.V. Lowry and H.A. Hayden: Advanced Mathematics for Technical Students, Part I
1946: Lilian R. Lieber: Modern Mathematics for T. C. Mits
1948: W.W. Sawyer: Mathematics In Theory and Practice

1950: H.V. Lowry and H.A. Hayden: Advanced Mathematics for Technical Students, Part II
- 1957: H.V. Lowry and H.A. Hayden: Advanced Mathematics for Technical Students, Part II (2nd ed.)

1953: L. Harwood Clarke: A Note Book in Pure Mathematics
1954: R. Wesley: Mathematics For All
1960: Margaret M. Gow: A Course in Pure Mathematics

1961: G. Stephenson: Mathematical Methods for Science Students
- 1973: G. Stephenson: Mathematical Methods for Science Students (2nd ed.)

1964: Hugo Steinhaus: One Hundred Problems in Elementary Mathematics

1964: A.M. Yaglom and I.M. Yaglom: Challenging Mathematical Problems With Elementary Solutions: Volume $\text { I }$ (Translated by James McCawley, Jr., revised and edited by Basil Gordon)
1965: Heinrich Dörrie: 100 Great Problems of Elementary Mathematics (Translated by David Antin)
1967: A.M. Yaglom and I.M. Yaglom: Challenging Mathematical Problems With Elementary Solutions: Volume $\text { II }$ (Translated by James McCawley, Jr., revised and edited by Basil Gordon)

1966: Patrick J. Murphy and Albert F. Kempf: The New Mathematics Made Simple
- 1971: Patrick J. Murphy and Albert F. Kempf: The New Mathematics Made Simple (2nd ed.)

1967: W.J. Reichmann: The Spell of Mathematics
1974: George Polya and Jeremy Kilpatrick: The Stanford Mathematics Problem Book
1977: A.J.M. Spencer: Engineering Mathematics: Volume $\text { I }$ (with others)
1982: Malcolm E. Lines: A Number for your Thoughts
1982: Donald J. Newman: A Problem Seminar
1997: Jan Gullberg: Mathematics: From the Birth of Numbers
1998: Rob Eastaway and Jeremy Wyndham: Why do Buses Come in Threes?
2002: David Acheson: 1089 and all that
2002: Rob Eastaway and Jeremy Wyndham: How Long is a Piece of String?
2011: Ian Stewart: Mathematics of Life
2013: Alfred S. Posamentier and Ingmar Lehmann: Magnificent Mistakes in Mathematics
2021: Jay Cummings: Proofs

National Geographic "Our Mathematical World" series

2016: Fernando Corbalán: The Golden Ratio
2017: Joan Gómez: Mathematicians, Spies and Hackers
2017: Enrique Gracián: Prime Numbers
2017: Joan Gómez Urgellés: When Straight Lines become Curves
2017: Claudi Alsina: The Sect of Numbers
2017: Joaquín Navarro: Secrets of Pi
2017: Albert Violant i Holz: Fermat's Enigma
2017: Jordi Deulofeu: Prisoners with Dilemmas and Dominant Strategies
2017: Maria Isabel Binimelis Bassa: A New Way of Seeing the World
2017: Claudi Alsina: Underground Maps and Neural Networks
2017: Raúl Ibáñez: The Fourth Dimension
2017: Javier Arbonés and Pablo Milrud: Harmony is Numerical
2017: Pere Grima: Absolute Certainty and Other Fictions
2017: Antonio J. Durán Guardeño: The Truth is at the Limit
2017: Vicenç Torra: From the Abacus to the Digital Revolution
2017: Francisco Martín Casalderrey: Playing with the Senses
2017: Joaquín Navarro: On the Other Side of the Mirror
2017: Enrique Gracián: An Endless Discovery
2017: Lluis Artal and Josep Sales: Mortgages and Equations
2017: Miquel Albertí: Creativity in Mathematics
2017: Lamberto García del Cid: Notable Numbers
2017: Javier Fresán: The Dream of Reason
2017: Claudi Alsina: The Thousand Faces of Geometric Beauty
2017: Fernando Corbalán and Gerardo Sanz: The Conquest of Chance
2017: Joaquín Navarro: Fleeting Ideas, Eternal Theorems
2017: Raúl Ibáñez: The Dream of the Perfect Map
2017: Antonio J. Durán: The Poetry of Numbers
2017: Rafael Lahoz-Beltra: The Mathematics of Life
2017: Josep Sales and Francesc Banyuls: Curious Curves
2017: Rosa Maria Ros: Cosmic Calculations
2017: Joaquín Navarro: The Secret Life of Numbers
2017: Carlos Madrid: The Butterfly and the Tornado
2017: Ignasi Belda: Minds, Machines and Mathematics
2017: Juanjo Rué: The Art of Counting
2017: Javier Fresán: Until Algebra do us Part
2017: Vicente Muñoz: Distorting and Transforming Shapes
2017: Joaquín Navarro: Women in Mathematics
2017: Iolanda Guevara and Carles Puig: Getting the Measure of the World
2017: Guillermo Curbera: Mathematical Network
2017: Miquel Albertí: Planet Mathematics
2017: Gustavo Piñeiro: The Sphere that Wanted to be Infinite
2017: Eduardo Arroyo: A Mathematical Journey from the Particle to Everything
2017: Luis Fernando Areán: Unsolvable Problems -- do they Exist?
2017: Miquel Albertí: Endless Mosaics
2017: Vicenç Torra: When Mathematics goes to the Polls
2017: Gustavo Piñeiro: e for Extraordinary
2017: Miquel Albertí: Easy or Difficult?
2017: Ignasi Belda: Mathematical Bits
2017: Pere Grima: Mathematics on the Front Page
2017: Raúl Ibáñez Torres: From Chess to Graphs
2017: Eloi Puertas, Oriol Pujol Vila, Santi Seguí and Jordi Vitrià: The Power of Data
2017: Alberto Gavira Romero: All Tied Up
2017: Clara Grima: Living in a Small World
2017: Gustavo Ernesto Piñeiro: The Story of an Imaginary Number
2017: Alberto Márquez: Catastrophe Theory
2017: Carmen Galé Pola: The Secret of Good Organisation
2017: Enrique F. Borja: Any More Bids?
2017: Pedro Castro Ortega: Bayes' Theorem
2017: Clara Grima and Enrique F. Borja: Observations, Measures and Models
2017: Fernando Corbalán: Geometry at Close Quarters

Geometry

General

1684: David Gregory: Exercitatio Geometria de Dimensione Curvarum
1720: Colino Mac Laurin: Geometria Organica
1803: L.N.M. Carnot: Géométrie de Position
1827: August Ferdinand Möbius: Der Barycentrische Calcul

1908: Felix Klein: Elementarmathematik vom höheren Standpunkte aus
- 1925: Felix Klein: Elementarmathematik vom höheren Standpunkte aus (3rd ed.)
- 1939: Felix Klein: Elementary Mathematics from an Advanced Standpoint: Geometry (translated by Earle Raymond Hedrick and Charles Albert Noble from Elementarmathematik vom höheren Standpunkte aus, 3rd ed.)

1967: H.S.M. Coxeter and S.L. Greitzer: Geometry Revisited
1981: Ivan Niven: Maxima and Minima without Calculus

Euclidean Geometry

1509: Fra Luca Pacioli: De Divina Proportione
1525: Albrecht Dürer: Underweysung der Messung mit dem Zirckel und Richtscheyt ("Instructions for Measuring with Compass and Ruler")
1611: Johannes Kepler: De Nive Sexangula
1635: Bonaventura Cavalieri: Geometria Indivisibilibus Continuorum Nova Quadam Ratione Promota
1659: Vincenzo Viviani: De Maximis et Minimis
1672: Georg Mohr: Euclides Danicus
1733: Giovanni Saccheri: Euclides ab Omni Naevo Vindicatus ("Euclid Cleared from Every Stain")
1794: A.M. Legendre: Éléments de Géométrie
1795: John Playfair: Elements of Geometry
1797: Lorenzo Mascheroni: Geometria del Compasso

1877: A.B. Kempe: How to Draw a Straight Line
1899: David Hilbert: Grundlagen der Geometrie
- 1902: David Hilbert: The Foundations of Geometry (translated by E.J. Townsend)

1920: Alfred E. Holbrow: Geometrical Drawing
- 1944: Alfred E. Holbrow: Geometrical Drawing (12th ed.)

1961: E.H. Lockwood: A Book of Curves
1968: M.N. Aref and William Wernick: Problems & Solutions in Euclidean Geometry
1972: André VandenBroeck: Philosophical Geometry
1990: Richard S. Millman and George D. Parker: Geometry: A Metric Approach with Models

1998: Michèle Audin: Géométrie
- 2003: Michèle Audin: Geometry
- 2006: Michèle Audin: Géométrie (2nd ed.)

Trigonometry

1342: Levi ben Gershon: De Sinibus, Chordiis et Arcubus ("On Sines, Chords and Arcs")
1464: Ioannis de Regio Monte: De Triangulis Omnimodus
1579: Franciscus Vieta: Canon Mathematicus seu ad Triangula ("The Mathematical Canon Applied to Triangles")
1596: Georg Joachim Rhaeticus: Opus Palatinum de Triangulis

Analytic Geometry

1636: Pierre de Fermat: Methodus ad Disquirendam Maximam et Minimam et de Tangentibus Linearum Curvarum ("Method for determining Maxima and Minima and Tangents to Curved Lines")

1637: Pierre de Fermat: Introduction to Plane and Solid Loci
- 1679: Pierre de Fermat: Ad Locos Planos et Solidos Isagoge ("Introduction to Plane and Solid Loci")

1637: René Descartes: La Géométrie
1704: Isaac Newton: Enumeratio Linearum Tertii Ordinis
1707: Guillaume de l'Hôpital: Traité Analytique des Sections Coniques

Solid Geometry

1615: Johannes Kepler: Nova Stereometria Doliorum Vinariorum

1656: Buonardo Savi: Trattato della Sfera
- 1682: Urbano d'Aviso: Trattato della Sfera (2nd ed.)
- 1690: Bonaventura Cavalieri: Trattato della Sfera (3rd ed.)

1934: D.M.Y. Sommerville: Analytical Geometry of Three Dimensions
1938: Robert J.T. Bell: Coordinate Solid Geometry (reprint of chapters I to IX of An Elementary Treatise on Coordinate Geometry of Three Dimensions from 1911)

1942: William H. McCrea: Analytical Geometry of Three Dimensions
- 1947: William H. McCrea: Analytical Geometry of Three Dimensions (2nd ed.)

Projective Geometry

1949: T. Ewan Faulkner: Projective Geometry
- 1952: T. Ewan Faulkner: Projective Geometry (2nd ed.)

1953: R. Walker: Cartesian and Projective Geometry
1991: Klaus Metsch: Linear Spaces with Few Lines

Algebraic Geometry

1750: Gabriel Cramer: Introduction à l'analyse des lignes courbes algébriques
1941: S.L. Green: Algebraic Solid Geometry
1952: J.G. Semple and G.T. Kneebone: Algebraic Projective Geometry
1977: Robin Hartshorne: Algebraic Geometry

Differential Geometry

1976: Manfredo P. do Carmo: Differential Geometry of Curves and Surfaces
- 2016: Manfredo P. do Carmo: Differential Geometry of Curves and Surfaces (2nd ed.)

2001: Andrew Pressley: Elementary Differential Geometry
2013: Gerd Rudolph and Matthias Schmidt: Differential Geometry and Mathematical Physics
2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.)

Descriptive Geometry

1799: Gaspard Monge: Géométrie Descriptive

Logic

1666: Gottfried Wilhelm von Leibniz: Dissertatio de Arte Combinatoria
1847: George Boole: The Mathematical Analysis of Logic
1854: George Boole: An Investigation of the Laws of Thought
1872: Augustus De Morgan: A Budget of Paradoxes
1881: John Venn: Symbolic Logic

1910 -- 1913: Alfred North Whitehead and Bertrand Russell: Principia Mathematica

1918: Bertrand Russell: The Philosophy of Logical Atomism

1921: Ludwig Wittgenstein: Tractatus Logico-Philosophicus
- 2003: Ludwig Wittgenstein: Tractatus Logico-Philosophicus (New ed.) (translated by C.K. Ogden)

1936: Alfred Tarski: O Logice Matematycznej i Metodzie Dedukcyjnej
- 1941: Alfred Tarski: Introduction to Logic and to the Methodology of Deductive Sciences (translation by Olaf Helmer of O Logice Matematycznej i Metodzie Dedukcyjnej)
- 1946: Alfred Tarski: Introduction to Logic and to the Methodology of Deductive Sciences (2nd ed.)

1953: A.H. Basson and D.J. O'Connor: Introduction to Symbolic Logic)
- 1957: A.H. Basson and D.J. O'Connor: Introduction to Symbolic Logic (2nd ed.)
- 1959: A.H. Basson and D.J. O'Connor: Introduction to Symbolic Logic (3rd ed.)

1954: Rudolf Carnap: Einführung in die symbolische Logik
- 1958: Rudolf Carnap: Introduction to Symbolic Logic and its Applications (translated by William H. Meyer and John Wilkinson from Einführung in die symbolische Logik)

1954: Irving M. Copi: Symbolic Logic
- 1965: Irving M. Copi: Symbolic Logic (2nd ed.)
- 1967: Irving M. Copi: Symbolic Logic (3rd ed.)
- 1973: Irving M. Copi: Symbolic Logic (4th ed.)
- 1979: Irving M. Copi: Symbolic Logic (5th ed.)

1963: Willard Van Orman Quine: Set Theory and Its Logic
1964: Donald Kalish and Richard Montague: Logic: Techniques of Formal Reasoning
1965: E.J. Lemmon: Beginning Logic
1967: Angelo Margaris: First Order Mathematical Logic

1968: Raymond M. Smullyan: First-Order Logic
- 1995: Raymond M. Smullyan: First-Order Logic (2nd ed.)

1975: Gaisi Takeuti: Proof Theory
- 1987: Gaisi Takeuti: Proof Theory (2nd ed.)

1977: William Warren Bartley, III: Lewis Carroll's Symbolic Logic

1978: Alan G. Hamilton: Logic for Mathematicians
- 1988: Alan G. Hamilton: Logic for Mathematicians (2nd ed.)

1980: Dirk van Dalen: Logic and Structure
1980: D.J. O'Connor and Betty Powell: Elementary Logic
1987: Michael R. Genesereth and Nils J. Nilsson: Logical Foundations of Artificial Intelligence
1984: Robert Goldblatt: Topoi: The Categorical Analysis of Logic
1995: Merrilee H. Salmon: Introduction to Logic and Critical Thinking
1997: Colin Howson: Logic with Trees

Boolean Algebra

1963: Paul R. Halmos: Lectures on Boolean Algebras
1968: Douglas Kaye: Boolean Systems
2008: Paul Halmos and Steven Givant: Introduction to Boolean Algebras

Mathematical Logic

1879: Gottlob Frege: Begriffsschrift

1884: Gottlob Frege: Die Grundlagen der Arithmetik
- 1950: Gottlob Frege: The Foundations of Arithmetic (translation by J.L. Austin of Die Grundlagen der Arithmetik)
- 1953: Gottlob Frege: The Foundations of Arithmetic (2nd ed.) (translation by J.L. Austin of Die Grundlagen der Arithmetik)

1888: Giuseppe Peano: Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann

1892: Giuseppe Peano: Formulario Mathematico
- 1896: Giuseppe Peano: Formulario Mathematico (2nd ed.)
- 1908: Giuseppe Peano: Formulario Mathematico (5th ed.): project completed

1893: Gottlob Frege: Grundgesetze der Arithmetik, Band I
- 1903: Gottlob Frege: Grundgesetze der Arithmetik, Band II

1898: Alfred North Whitehead: A Treatise on Universal Algebra, with Applications

1903: Bertrand Russell: The Principles of Mathematics
- 1938: Bertrand Russell: The Principles of Mathematics (2nd ed.)

1933: Alfred Tarski: The Concept of Truth in Formalized Languages

1934: David Hilbert and Paul Bernays: Grundlagen der Mathematik: Volume $\text { 1 }$
1939: David Hilbert and Paul Bernays: Grundlagen der Mathematik: Volume $\text { 2 }$

1944: Alonzo Church: Introduction to Mathematical Logic

1951: Willard Van Orman Quine: Mathematical Logic (Revised ed.)

1958: Martin Davis: Computability and Unsolvability
- 1982: Martin Davis: Computability and Unsolvability (2nd ed.)

1964: Elliott Mendelson: Introduction to Mathematical Logic

1974: George S. Boolos and Richard C. Jeffrey: Computability and Logic
- 1980: George S. Boolos and Richard C. Jeffrey: Computability and Logic (2nd ed.)
- 1989: George S. Boolos and Richard C. Jeffrey: Computability and Logic (3rd ed.)
- 2002: George S. Boolos, Richard C. Jeffrey and John P. Burgess: Computability and Logic (4th ed.)
- 2007: George S. Boolos, John P. Burgess and Richard C. Jeffrey: Computability and Logic (5th ed.)

1986: Peter B. Andrews: An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
- 2002: Peter B. Andrews: An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (2nd ed.)

1993: M. Ben-Ari: Mathematical Logic for Computer Science
- 2001: M. Ben-Ari: Mathematical Logic for Computer Science (2nd ed.)
- 2012: M. Ben-Ari: Mathematical Logic for Computer Science (3rd ed.)

1996: H. Jerome Keisler and Joel Robbin: Mathematical Logic and Computability
2000: Michael R.A. Huth and Mark D. Ryan: Logic in Computer Science: Modelling and reasoning about systems
2007: Ian Chiswell and Wilfrid Hodges: Mathematical Logic
2009: Kenneth Kunen: The Foundations of Mathematics
2010: Yu.I. Manin and Boris Zilber: A Course in Mathematical Logic for Mathematicians (2nd ed.)

Metamathematics

1952: Stephen Cole Kleene: Introduction to Metamathematics
2005: Gregory Chaitin: Metamaths: The Quest for Omega

Set Theory

1851: Bernhard Bolzano: Paradoxien des Unendlichen
1906: W.H. Young and Grace Chisholm Young: The Theory of Sets of Points
1914: Felix Hausdorff: Grundzüge der Mengenlehre
1915: Georg Cantor: Contributions to the Founding of the Theory of Transfinite Numbers (translated with an introduction by Philip E.B. Jourdain)

1937: Felix Hausdorff: Mengenlehre (3rd ed.)
- 1957: Felix Hausdorff: Set Theory (translated by John R. Aumann)
- 1962: Felix Hausdorff: Set Theory (2nd ed.) (translated by John R. Aumann)
- 1978: Felix Hausdorff: Set Theory (3rd ed.) (translated by John R. Aumann)
- 1991: Felix Hausdorff: Set Theory (4th ed.) (translated by John R. Aumann)

1939: Nicolas Bourbaki: Théorie des Ensembles
- 1968: Nicolas Bourbaki: Theory of Sets

1953: Abraham A. Fraenkel: Abstract Set Theory

1958: Paul Bernays: Axiomatic Set Theory
- 1968: Paul Bernays: Axiomatic Set Theory (2nd ed.)

1960: Paul R. Halmos: Naive Set Theory

1960: Patrick Suppes: Axiomatic Set Theory
- 1972: Patrick Suppes: Axiomatic Set Theory (2nd ed.)

1963: Willard Van Orman Quine: Set Theory and Its Logic

1966: Paul J. Cohen: Set Theory and the Continuum Hypothesis
- 1966: Paul J. Cohen: Set Theory and the Continuum Hypothesis (republished ed.)

1971: Gaisi Takeuti and Wilson M. Zaring: Introduction to Axiomatic Set Theory
1972: Nicolas Bourbaki: Séminaire de Géométrie Algébrique du Bois Marie
1972: S. Swierczkowski: Sets and Numbers
1973: Thomas J. Jech: The Axiom of Choice
1975: T.S. Blyth: Set Theory and Abstract Algebra
1977: Herbert B. Enderton: Elements of Set Theory
1978: Thomas Jech: Set Theory

1979: Keith J. Devlin: Fundamentals of Contemporary Set Theory
- 1993: Keith Devlin: The Joy of Sets: Fundamentals of Contemporary Set Theory (2nd ed.)

1980: Kenneth Kunen: Set Theory: An Introduction to Independence Proofs
1996: Derek Goldrei: Classic Set Theory
1996: Winfried Just and Martin Weese: Discovering Modern Set Theory. I: The Basics

1996: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.)

1997: Winfried Just and Martin Weese: Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician
1999: András Hajnal and Peter Hamburger: Set Theory (translated by Attila Máté from Halmazeimélet)
2014: Nik Weaver: Forcing for Mathematicians

Abstract Algebra

1941: Garrett Birkhoff and Saunders Mac Lane: A Survey of Modern Algebra

1951 -- 1964: Nathan Jacobson: Lectures in Abstract Algebra

1964: W.E. Deskins: Abstract Algebra
1965: J.A. Green: Sets and Groups

1965: Serge Lang: Algebra
- 1984: Serge Lang: Algebra (2nd ed.)
- 1993: Serge Lang: Algebra (3rd ed.)
- 2002: Serge Lang: Algebra (Revised 3rd ed.)

1965: Seth Warner: Modern Algebra
1966: Richard A. Dean: Elements of Abstract Algebra
1967: Saunders Mac Lane and Garrett Birkhoff: Algebra
1969: M.F. Atiyah and I.G. MacDonald: Introduction to Commutative Algebra
1969: C.R.J. Clapham: Introduction to Abstract Algebra
1970: B. Hartley and T.O. Hawkes: Rings, Modules and Linear Algebra
1971: Allan Clark: Elements of Abstract Algebra
1971: J. Hunter and D. Monk: Algebra and Number Systems
1972: N. Bourbaki: Commutative Algebra
1974: N. Bourbaki: Algebra I

1974: P.M. Cohn: Algebra: Volume $\text { 1 }$
- 1982: P.M. Cohn: Algebra: Volume $\text { 1 }$ (2nd ed.)

1974: Thomas W. Hungerford: Algebra
1975: T.S. Blyth: Set Theory and Abstract Algebra

1975: John B. Fraleigh: A First Course in Abstract Algebra
- 2002: John B. Fraleigh: A First Course in Abstract Algebra (7th ed.)

1976: John Mackintosh Howie: An Introduction to Semigroup Theory

1977: P.M. Cohn: Algebra: Volume $\text { 2 }$
- 1989: P.M. Cohn: Algebra: Volume $\text { 2 }$ (2nd ed.)

1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra
1980: Hideyuki Matsumura: Commutative Algebra
1981: Stanley Burris and H.P. Sankappanavar: A Course in Universal Algebra
1982: Alan G. Hamilton: Numbers, Sets and Axioms

1987: Serge Lang: Undergraduate Algebra
- 1990: Serge Lang: Undergraduate Algebra (2nd ed.)
- 2005: Serge Lang: Undergraduate Algebra (3rd ed.)

1990: David S. Dummit and Richard M. Foote: Abstract Algebra
- 1999: David S. Dummit and Richard M. Foote: Abstract Algebra (2nd ed.)
- 2003: David S. Dummit and Richard M. Foote: Abstract Algebra (3rd ed.)

1990: Gerard J. Murphy: C*-Algebras and Operator Theory

1994: Joseph A. Gallian: Contemporary Abstract Algebra
- 2009: Joseph A. Gallian: Contemporary Abstract Algebra (7th ed.)
- 2017: Joseph A. Gallian: Contemporary Abstract Algebra (9th ed.)

1997: Rudolf Lidl and Günter Pilz: Applied Abstract Algebra
1999: J.C. Rosales and P.A. García-Sánchez: Finitely Generated Commutative Monoids
2000: John B. Conway: A Course in Operator Theory
2000: Pierre A. Grillet: Abstract Algebra
2003: John H. Conway and Derek A. Smith: On Quaternions And Octonions
2014: Mahim Ranjan Adhikari and Avishek Adhikari: Basic Modern Algebra with Applications

Group Theory

1870: Camille Jordan: Traité des Substitutions et des Équations Algébriques

1897: William Burnside: Theory of Groups of Finite Order
- 1911: William Burnside: Theory of Groups of Finite Order (2nd ed.)

1949: Walter Ledermann: Introduction to the Theory of Finite Groups

1964: W.R. Scott: Group Theory

1965: Joseph J. Rotman: An Introduction to the Theory of Groups

1967: John D. Dixon: Problems in Group Theory
1968: Ian D. Macdonald: The Theory of Groups
1970: László Fuchs: Infinite Abelian Groups: Volume $\text { I }$
1973: László Fuchs: Infinite Abelian Groups: Volume $\text { II }$
1973: Walter Ledermann: Introduction to Group Theory
1978: John S. Rose: A Course on Group Theory

1982: Derek J.S. Robinson: A Course in the Theory of Groups
- 1996: Derek J.S. Robinson: A Course in the Theory of Groups (2nd ed.)

1996: John F. Humphreys: A Course in Group Theory
2002: David Joyner: Adventures in Group Theory
2008: I. Martin Isaacs: Finite Group Theory
2008: David Joyner: Adventures in Group Theory (2nd ed.)
2009: Harvey E. Rose: A Course on Finite Groups
2009: Robert A. Wilson: The Finite Simple Groups
2012: Ambar N. Sengupta: Representing Finite Groups: A Semisimple Introduction

Lie Groups

1888 -- 1893: Sophus Lie and Friedrich Engel: Theorie der Transformationsgruppen ("Theory of Transformation Groups"):

Field Theory

1964: Iain T. Adamson: Introduction to Field Theory

Lattice Theory

1940: Garrett Birkhoff: Lattice Theory
- 1948: Garrett Birkhoff: Lattice Theory (2nd ed.)
- 1967: Garrett Birkhoff: Lattice Theory (3rd ed.)

1980: G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M.W. Mislove and D.S. Scott: A Compendium of Continuous Lattices

1990: B.A. Davey and H.A. Priestley: Introduction to Lattices and Order
- 2002: B.A. Davey and H.A. Priestley: Introduction to Lattices and Order (2nd ed.)

2002: Daniele Micciancio and Shafi Goldwasser: Complexity of Lattice Problems: A Cryptographic Perspective: $\S 1$

2008: Steven Roman: Lattices and Ordered Sets

Galois Theory

1942: Emil Artin and Arthur N. Milgram: Galois Theory
- 1944: Emil Artin and Arthur N. Milgram: Galois Theory (2nd ed.)

1972: Ian Stewart: Galois Theory
- 1989: Ian Stewart: Galois Theory (2nd ed.)
- 2004: Ian Stewart: Galois Theory (3rd ed.)

1994: Andy R. Magid: Lectures on Differential Galois Theory
- 1997: Andy R. Magid: Lectures on Differential Galois Theory (2nd ed.)

1996: Patrick Morandi: Field and Galois Theory

Relation Theory

2010: Gunther Schmidt: Relational Mathematics

Category Theory

1964: Peter Freyd: Abelian Categories
1965: Barry Mitchell: Theory of Categories
1971: Saunders Mac Lane: Categories for the Working Mathematician
1998: Saunders Mac Lane: Categories for the Working Mathematician (2nd ed.)
2006: Steve Awodey: Category Theory
2010: Steve Awodey: Category Theory (2nd ed.)

Discrete Mathematics

1655: Blaise Pascal: Traité du Triangle Arithmétique
1954: G. Polya: Induction and Analogy in Mathematics

1962: Claude Berge and A. Ghouila-Houri: Programmes, Jeux et Réseaux de Transport
1963: Oystein Ore: Graphs and Their Uses
- 1965: Claude Berge and A. Ghouila-Houri: Programming, Games and Transportation Networks (translated by Maxine Merrington and C. Ramanujacharyulu from Programmes, Jeux et Réseaux de Transport)

1966: Dov Jarden: Recurring Sequences (2nd ed.)

1968 +: Donald E. Knuth: The Art of Computer Programming

1989: Ronald L. Graham, Donald E. Knuth and Oren Patashnik: Concrete Mathematics: A Foundation for Computer Science
- 1994: Ronald L. Graham, Donald E. Knuth and Oren Patashnik: Concrete Mathematics: A Foundation for Computer Science (2nd ed.)

1990: Herbert S. Wilf: generatingfunctionology
1999: Kenneth H. Rosen: Discrete Mathematics and Its Applications (4th ed.)
2000: Kenneth H. Rosen and John G. Michaels: Handbook of Discrete and Combinatorial Mathematics
2009: Steven G. Krantz: Discrete Mathematics Demystified

Graph Theory

1972: Robin J. Wilson: Introduction to Graph Theory
1976: J.A. Bondy and U.S.R. Murty: Graph Theory With Applications

1976: Richard J. Trudeau: Dots and Lines
- 1993: Richard J. Trudeau: Introduction to Graph Theory

1977: Gary Chartrand: Introductory Graph Theory
1981: M.N.S. Swamy: Graphs, Networks and Algorithms
1981: H.N.V. Temperley: Graph Theory and its Applications
1990: Nora Hartsfield and Gerhard Ringel: Pearls in Graph Theory: A Comprehensive Introduction

1997: Reinhard Diestel: Graph Theory
- 2000: Reinhard Diestel: Graph Theory (2nd ed.)
- 2005: Reinhard Diestel: Graph Theory (3nd ed.)
- 2010: Reinhard Diestel: Graph Theory (4nd ed.)

1998: Béla Bollobás: Modern Graph Theory
1998: O. Melnikov, V. Sarvanov, R. Tyshkevich, V. Yemelichev and I. Zverovich: Exercises in Graph Theory
2001: Chris Godsil and Gordon Royle: Algebraic Graph Theory
2002: Robin Wilson: Four Colours Suffice
2008: J.A. Bondy and U.S.R. Murty: Graph Theory
2008: John M. Harris, Jeffry L. Hirst and Michael J. Mossinghoff: Combinatorics and Graph Theory (2nd ed.)
2010: Maarten van Steen: Graph Theory and Complex Networks

Combinatorics

1826: Andreas v. Ettingshausen: Die kombinatorische Analysis, als Vorbereitungslehre zum Studium der theoretischen höheren Mathematik

1867: William Allen Whitworth: Choice and Chance: An Elementary Treatise on Permutations, Combinations, and Probability
- 1870: William Allen Whitworth: Choice and Chance: An Elementary Treatise on Permutations, Combinations, and Probability (2nd ed.)
- 1901: William Allen Whitworth: Choice and Chance: An Elementary Treatise on Permutations, Combinations, and Probability (5th ed.)

1979: László Lovász: Combinatorial Problems and Exercises
- 1993: László Lovász: Combinatorial Problems and Exercises (2nd ed.)

2007: Alan Tucker: Applied Combinatorics (5th ed.)

2008: John M. Harris, Jeffry L. Hirst and Michael J. Mossinghoff: Combinatorics and Graph Theory (2nd ed.)

Design Theory

1960: D.J. Finney: An Introduction to the Theory of Experimental Design

Cellular Automata

1994: Stephen Wolfram: Cellular Automata and Complexity

Communication Theory and Cryptography

1949: Claude E. Shannon: The Mathematical Theory of Communication
1965: Robert B. Ash: Information Theory
1988: Dominic Welsh: Codes and Cryptography
2013: James S. Kraft and Lawrence C. Washington: An Introduction to Number Theory with Cryptography

Stochastic Calculus

2008: Steven E. Shreve: Stochastic Calculus for Finance II: Continuous-Time Models

Linear Algebra

1939: A.C. Aitken: Determinants and Matrices
- 1942: A.C. Aitken: Determinants and Matrices (2nd ed.)
- 1944: A.C. Aitken: Determinants and Matrices (3rd ed.)
- 1946: A.C. Aitken: Determinants and Matrices (4th ed.)
- 1948: A.C. Aitken: Determinants and Matrices (5th ed.)
- 1949: A.C. Aitken: Determinants and Matrices (6th ed.)
- 1951: A.C. Aitken: Determinants and Matrices (7th ed.)
- 1954: A.C. Aitken: Determinants and Matrices (8th ed.)

1948: I.M. Gel'fand: Lektsii po Lineinoi Algebre
- 1950: I.M. Gel'fand: Lektsii po Lineinoi Algebre (2nd ed.)
- 1961: I.M. Gel'fand: Lectures on Linear Algebra (2nd ed.) (translated by A. Shenitzer)

1953: Nathan Jacobson: Lectures in Abstract Algebra: Volume $\text { II }$: Linear Algebra
1955: L. Mirsky: An Introduction to Linear Algebra
1958: P.M. Cohn: Linear Equations

1968: Seymour Lipschutz: Theory and Problems of Linear Algebra
- 1974: Seymour Lipschutz: Theory and Problems of Linear Algebra (SI ed.)
- 1991: Seymour Lipschutz: Theory and Problems of Linear Algebra (2nd ed.)

1969: M.A. Akivis and V.V. Goldberg: Tensor Calculus (with M.A. Akivis)
- 1972: M.A. Akivis and V.V. Goldberg: An Introduction to Linear Algebra & Tensors (translated by Richard A. Silverman from Tensor Calculus)

1971: Kenneth Hoffman and Ray Kunze: Linear Algebra (2nd ed.)
1974: Paul R. Halmos: Finite-Dimensional Vector Spaces

1978: A.O. Morris: Linear Algebra: An Introduction
- 1982: A.O. Morris: Linear Algebra: An Introduction (2nd ed.)

1987: A.G. Hamilton: A First Course in Linear Algebra
1993: Gilbert Strang: Introduction to Linear Algebra
1994: Robert Messer: Linear Algebra: Gateway to Mathematics

1995: Sheldon Axler: Linear Algebra Done Right
- 1997: Sheldon Axler: Linear Algebra Done Right (2nd ed.)
- 2015: Sheldon Axler: Linear Algebra Done Right (3rd ed.)

1995: John B. Fraleigh and Raymond A. Beauregard: Linear Algebra (3rd ed.)

1998: Richard Kaye and Robert Wilson: Linear Algebra
2000: Bryan Rynne and Martin Youngson: Linear Functional Analysis
2007: Thomas S. Shores: Applied Linear Algebra and Matrix Analysis
2015: Sudipto Banerjee and Anindya Roy: Linear Algebra and Matrix Analysis for Statistics

Vector Analysis

1832: Giusto Bellavitis: Calcolo delle Equipollenze

1844: Hermann Günter Grassmann: Die Lineale Ausdehnungslehre, ein neuer Zweig der Mathematik ("Linear Extension Theory, a new branch of mathematics")

1867: P.G. Tait: Elementary Treatise on Quaternions
- 1873: P.G. Tait: Elementary Treatise on Quaternions (2nd ed.)

1881: J. Willard Gibbs: Elements of Vector Analysis

1901: Edwin Bidwell Wilson and J. Willard Gibbs: Vector Analysis
- 1929: Edwin Bidwell Wilson and J. Willard Gibbs: Vector Analysis (2nd ed.)

1909: Joseph George Coffin: Vector Analysis: An Introduction to Vector-methods and their Various Applications to Physics and Mathematics
- 1911: Joseph George Coffin: Vector Analysis: An Introduction to Vector-methods and their Various Applications to Physics and Mathematics (2nd ed.)

1921: C.E. Weatherburn: Elementary Vector Analysis
1924: C.E. Weatherburn: Advanced Vector Analysis

1939: B. Hague: An Introduction to Vector Analysis
- 1951: B. Hague: An Introduction to Vector Analysis (5th ed.)
- 1970: B. Hague and D. Martin: An Introduction to Vector Analysis (6th ed.)

1939: D.E. Rutherford: Vector Methods
- 1957: D.E. Rutherford: Vector Methods (9th ed.)

1967: D.E. Bourne and P.C. Kendall: Vector Analysis

Number Theory

1343: Leo Hebraeus: De numeris harmonicis
1560: Simon Jacob: Ein new und wohlgegründt Rechenbuch
1644: Marin Mersenne: Cogitata Physico-Mathematica
1670: Pierre de Fermat: Arithmetica
1801: Carl Friedrich Gauss: Disquisitiones Arithmeticae
1811: Peter Barlow: Elementary Investigation of the Theory of Numbers
1830: Adrien-Marie Legendre: Théorie des Nombres
1851: A. de Polignac: Recherches Nouvelles sur les Nombres Premiers
1919: Leonard Eugene Dickson: History of the Theory of Numbers: Volume $\text { I }$
1920: Leonard Eugene Dickson: History of the Theory of Numbers: Volume $\text { II }$
1923: Leonard Eugene Dickson: History of the Theory of Numbers: Volume $\text { III }$
1927: G.H. Hardy, P.V. Seshu Aiyar and B.M. Wilson: Collected Papers of Srinivasa Ramanujan
1932: A.E. Ingham: The Distribution of Prime Numbers

1938: G.H. Hardy and E.M. Wright: An Introduction to the Theory of Numbers
- 1979: G.H. Hardy and E.M. Wright: An Introduction to the Theory of Numbers (5th ed.)

1949: Helmut Hasse: Zahlentheorie (Number Theory) (3 editions: 1949, 1962, 1969; English translation 1980 by Horst-Günter Zimmer)

1952: H. Davenport: The Higher Arithmetic
- 1982: H. Davenport: The Higher Arithmetic (5th ed.)

1956: W.J. LeVeque: Topics in Number Theory, Volume I
1956: W.J. LeVeque: Topics in Number Theory, Volume II

1960: Ivan Niven and Herbert S. Zuckerman: An Introduction to the Theory of Numbers

1962: Harvey Cohn: Advanced Number Theory
1962: Daniel Shanks: Solved and Unsolved Problems in Number Theory

1963: C.D. Olds: Continued Fractions

1964: Albert H. Beiler: Recreations in the Theory of Numbers
- 1966: Albert H. Beiler: Recreations in the Theory of Numbers (2nd ed.)

1964: J. Hunter: Number Theory
1964: Thomas R. Parkin and Leon J. Lander: Abundant Numbers
1966: C. Stanley Ogilvy and John T. Anderson: Excursions in Number Theory
1970: H.E. Huntley: The Divine Proportion
1970: Wacław Sierpiński: 250 Problems in Elementary Number Theory
1971: George E. Andrews: Number Theory

1976: David M. Burton: Elementary Number Theory
- 1980: David M. Burton: Elementary Number Theory (revised ed.)

1980: Hansraj Gupta: Selected Topics in Number Theory

1981: Richard K. Guy: Unsolved Problems in Number Theory
- 1994: Richard K. Guy: Unsolved Problems in Number Theory (2nd ed.)
- 2004: Richard K. Guy: Unsolved Problems in Number Theory (3rd ed.)

1982: Kenneth Ireland and Michael Rosen: A Classical Introduction to Modern Number Theory
- 1990: Kenneth Ireland and Michael Rosen: A Classical Introduction to Modern Number Theory (2nd ed.)

1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables

1984: Alan Baker: A Concise Introduction to the Theory of Numbers

1988: Paulo Ribenboim: The Book of Prime Number Records
- 1989: Paulo Ribenboim: The Book of Prime Number Records (2nd ed.)

1988: H.E. Rose: A Course in Number Theory
- 1994: H.E. Rose: A Course in Number Theory (2nd ed.)

1991: Jürgen Neukirch: Algebraic Number Theory
1992: A.M. Rockett and P. Szüsz: Continued Fractions
1996: John H. Conway and Richard K. Guy: The Book of Numbers
1996: J.S. Milne: Algebraic Number Theory
1996: Melvyn B. Nathanson: Additive Number Theory: The Classical Bases

1997: Gary Cornell, Joseph H. Silverman and Glenn Stevens: Modular Forms and Fermat's Last Theorem

2001: Richard Crandall and Carl B. Pomerance: Prime Numbers: A Computational Perspective
- 2005: Richard Crandall and Carl B. Pomerance: Prime Numbers: A Computational Perspective (2nd ed.)

2013: James S. Kraft and Lawrence C. Washington: An Introduction to Number Theory with Cryptography

Analytic Number Theory

1915: G.H. Hardy and Marcel Riesz: The General Theory of Dirichlet's Series
1976: Tom M. Apostol: Introduction to Analytic Number Theory

1985: Bruce C. Berndt: Ramanujan's Notebooks: Part I
- 1989: Bruce C. Berndt: Ramanujan's Notebooks: Part II
- 1991: Bruce C. Berndt: Ramanujan's Notebooks: Part III
- 1994: Bruce C. Berndt: Ramanujan's Notebooks: Part IV
- 1998: Bruce C. Berndt: Ramanujan's Notebooks: Part V

2005: George E. Andrews and Bruce C. Berndt: Ramanujan's Lost Notebook: Part I
- 2008: George E. Andrews and Bruce C. Berndt: Ramanujan's Lost Notebook: Part II
- 2012: George E. Andrews and Bruce C. Berndt: Ramanujan's Lost Notebook: Part III
- 2013: George E. Andrews and Bruce C. Berndt: Ramanujan's Lost Notebook: Part IV
- 2018: George E. Andrews and Bruce C. Berndt: Ramanujan's Lost Notebook: Part V

2006: Hugh L. Montgomery and Robert C. Vaughan: Multiplicative Number Theory: I. Classical Theory

Analysis

1591: Franciscus Vieta: In Artem Analyticam Isagoge ("Introduction to the Analytical Arts")
1711: Isaac Newton: Analysis per Quantitatem Series
1715: Brook Taylor: Methodus Incrementorum Directa et Inversa ("Direct and Indirect Methods of Incrementation")
1730: Jacobo Stirling: Methodus Differentialis
1748: Maria Gaëtana Agnesi: Instituzioni Analitiche ad uso della Gioventù Italiana
1748: Leonhard Paul Euler: Introductio in Analysin Infinitorum
1808: C. Kramp: Élémens d'arithmétique universelle
1821: Augustin Louis Cauchy: Cours d'analyse
1824: Niels Henrik Abel: Mémoire sur les équations algébriques ou on démontre l'impossibilité de la résolution de l'équation générale du cinquième degré
1882-87: Camille Jordan: Cours d'Analyse de l'École Polytechnique

1902: E.T. Whittaker: A Course of Modern Analysis
- 1915: E.T. Whittaker and G.N. Watson: A Course of Modern Analysis (2nd ed.)
- 1920: E.T. Whittaker and G.N. Watson: A Course of Modern Analysis (3rd ed.)
- 1927: E.T. Whittaker and G.N. Watson: A Course of Modern Analysis (4th ed.)

1902: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 1 }$
- 1904: Édouard Goursat: A Course in Mathematical Analysis: Volume $\text { 1 }$ (translated by Earle Raymond Hedrick) (translation of Cours d'Analyse Mathématique, Volume 1)
- 1910 -- 1913: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 1 }$ (2nd ed.)
- 1924: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 1 }$ (4th ed.)

1905: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 2 }$
- 1910 -- 1913: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 2 }$ (2nd ed.)
  - 1916: Édouard Goursat: A Course in Mathematical Analysis: Volume $\text { 2 (Part 1) }$ (translated by Earle Raymond Hedrick and Otto Dunkel) (Part 1) (translation of Cours d'Analyse Mathématique, Volume 2)
  - 1917: Édouard Goursat: A Course in Mathematical Analysis: Volume $\text { 2 (Part 2) }$ (translated by Earle Raymond Hedrick and Otto Dunkel) (Part 2) (translation of Cours d'Analyse Mathématique, Volume 2)
- 1925: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 2 }$ (4th ed.)

1910 -- 1913: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 3 }$ (2nd ed.)
- 1923: Édouard Goursat: Cours d'Analyse Mathématique: Volume $\text { 3 }$ (3rd ed.)

1913: Hermann Weyl: The Concept of a Riemann Surface

1918: Hermann Weyl: The Continuum: A Critical Examination of the Foundation of Analysis

1925: George Pólya and Gábor Szegő: Problems and Theorems in Analysis I
- 1972: George Pólya and Gábor Szegő: Problems and Theorems in Analysis I (Eng. ed.) (translated by Dorothée Aeppli)

1925: George Pólya and Gábor Szegő: Problems and Theorems in Analysis II
- 1976: George Pólya and Gábor Szegő: Problems and Theorems in Analysis II (Eng. ed.) (translated by C.E. Billigheimer)

1930: Edmund Landau: Grundlagen der Analysis
- 1951: Edmund Landau: Foundations of Analysis (translated by F. Steinhardt)

1931: Lawrence M. Graves: Theory of Functions of Real Variables

1938: C.V. Durell and Alan Robson: Shorter Advanced Trigonometry

1942: James M. Hyslop: Infinite Series
- 1945: James M. Hyslop: Infinite Series (2nd ed.)
- 1947: James M. Hyslop: Infinite Series (3rd ed.)

1953: Walter Rudin: Principles of Mathematical Analysis
- 1964: Walter Rudin: Principles of Mathematical Analysis (2nd ed.)

1957: Tom M. Apostol: Mathematical Analysis
- 1973: Tom M. Apostol: Mathematical Analysis (2nd ed.)

1958: N.G. de Bruijn: Asymptotic Methods in Analysis
- 1961: N.G. de Bruijn: Asymptotic Methods in Analysis (2nd ed.)
- 1970: N.G. de Bruijn: Asymptotic Methods in Analysis (3rd ed.)

1960: J. Dieudonné: Foundations of Modern Analysis
1965: Edwin Hewitt and Karl Stromberg: Real and Abstract Analysis

1966: Walter Rudin: Real and Complex Analysis
1967: Errett Bishop: Foundations of Constructive Analysis
1970: J.C. Burkill and H. Burkill: A Second Course in Mathematical Analysis
1970: Avner Friedman: Foundations of Modern Analysis
1970: R. Tyrell Rockafellar: Convex Analysis
1973: L.V. Ahlfors: Conformal Invariants: Topics in Geometric Function Theory

1989: James R. Kirkwood: An Introduction to Analysis
- 1995: James R. Kirkwood: An Introduction to Analysis (2nd ed.)

1990: George Gasper and Mizan Rahman: Basic Hypergeometric Series
- 2004: George Gasper and Mizan Rahman: Basic Hypergeometric Series (2nd ed.)

1993: Serge Lang: Real and Functional Analysis (3nd ed.)
1994: Brian S. Thomson: Symmetric Properties of Real Functions
1996: Eric Schechter: Handbook of Analysis and its Foundations
1997: Fernando Q. Gouvea: p-adic Numbers: An Introduction
1998: Ram Prakash Kanwal: Generalized Functions: Theory and Technique (2nd ed.)
2003: Charles C. Pugh: Real Mathematical Analysis (2nd ed.)
2005: G. Auliac and J.-Y. Caby: Mathématiques, Topologie et Analyse
2007: Svetlana Katok: p-adic Analysis Compared with Real
2011: Robert G. Bartle and Donald R. Sherbert: Introduction to Real Analysis (4th ed.)
2011: Graham R. Allan and H. Garth Dales: Introduction to Banach Spaces and Algebras
2014: Kenneth Falconer: Fractal Geometry: Mathematical Foundations and Applications (3rd ed.)
2016: Torsten Wedhorn: Manifolds, Sheaves, and Cohomology

Logarithms

1614: John Napier: Mirifici Logarithmorum Canonis Descriptio
1714: Roger Cotes: Logometria

Analytical Geometry

1828: Julius Plücker: Analytisch-Geometrische Entwicklungen: Volume $\text { 1 }$ ("Developments in Analytic Geometry")
1831: Julius Plücker: Analytisch-Geometrische Entwicklungen: Volume $\text { 2 }$ ("Developments in Analytic Geometry")

1851: Elias Loomis: Elements of Analytical Geometry and of the Differential and Integral Calculus

1924: D.M.Y. Sommerville: Analytical Conics
- 1929: D.M.Y. Sommerville: Analytical Conics (2nd ed.)
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.)

Real Analysis

1908: G.H. Hardy: A Course of Pure Mathematics
- 1952: G.H. Hardy: A Course of Pure Mathematics (10th ed.)

1926: J.E. Littlewood: Elements of the Theory of Real Functions

1930: E.G. Phillips: A Course of Analysis
- 1939: E.G. Phillips: A Course of Analysis (2nd ed.)

1958: J.A. Green: Sequences and Series

1963: H.L. Royden: Real Analysis
- 1968: H.L. Royden: Real Analysis (2nd ed.)
- 1988: H.L. Royden: Real Analysis (3rd ed.)
- 2010: H.L. Royden and P.M. Fitzpatrick: Real Analysis (4th ed.)

1964: Richard R. Goldberg: Methods of Real Analysis
- 1976: Richard R. Goldberg: Methods of Real Analysis (2nd ed.)

1964: William K. Smith: Limits and Continuity

1965: Wendell Fleming: Functions of Several Variables
- 1977: Wendell Fleming: Functions of Several Variables (2nd ed.)

1968: A.N. Kolmogorov and S.V. Fomin‎: Introductory Real Analysis (translated by Richard A. Silverman)
1969: R.P. Boas: A Primer of Real Functions
1973: C.R.J. Clapham: Introduction to Mathematical Analysis
1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach
1981: Charalambos D. Aliprantis and Owen Burkinshaw: Principles of Real Analysis
1981: Karl R. Stromberg: An Introduction to Classical Real Analysis
1989: R.M. Dudley: Real Analysis and Probability
1989: Elon Lages Lima: Análise Real 1
1981: Charalambos D. Aliprantis and Owen Burkinshaw: Principles of Real Analysis (3rd ed.)
2000: N.L. Carothers: Real Analysis
2000: Ebbe Thue Poulsen and Klaus Thomsen: Indledning til Matematisk Analyse 1a
2005: Elias M. Stein and Rami Shakarchi: Real Analysis: Measure Theory, Integration, and Hilbert Spaces
2007: Robert B. Ash: Real Variables with Basic Metric Space Topology

Calculus

1656: John Wallis: Arithmetica Infinitorum
1669: Isaac Newton: On Analysis by Means of Equations with an Infinite Number of Terms
1670: Isaac Barrow: Lectiones Geometricae
1696: Guillaume de l'Hôpital: L'Analyse des Infiniment Petits
1722: Roger Cotes: Harmonia Mensurarum
1734: George Berkeley: The Analyst
1736: Isaac Newton: The Method of Fluxions and Infinite Series
1742: Colin MacLaurin: A Treatise of Fluxions
1755: Leonhard Paul Euler: Institutiones Calculi Differentialis
1768-94: Leonhard Paul Euler: Institutiones Calculi Integralis
1797: Lazare Carnot: Réflexions sur la métaphysique du calcul infinitésimal
1800: L.F.A. Arbogast: Du Calcul des Dérivations

1896: Joseph Edwards: Integral Calculus for Beginners: With an Introduction to the Study of Differential Equations

1897: Horace Lamb: An Elementary Course of Infinitesimal Calculus
- 1902: Horace Lamb: An Elementary Course of Infinitesimal Calculus (2nd ed.)
- 1919: Horace Lamb: An Elementary Course of Infinitesimal Calculus (3rd ed.)

1912: Edwin Bidwell Wilson: Advanced Calculus

1914: G.W. Caunt: Introduction to Infinitesimal Calculus

1933: C.V. Durell and A. Robson: Elementary Calculus: Volume $\text { I }$
1934: C.V. Durell and A. Robson: Elementary Calculus: Volume $\text { II }$

1934: Richard Courant: Differential and Integral Calculus: Volume $\text { I }$ (translated by E.J. McShane)
- 1937: Richard Courant: Differential and Integral Calculus: Volume $\text { I }$ (2nd ed.) (translated by E.J. McShane)

1936: Richard Courant: Differential and Integral Calculus: Volume $\text { II }$ (translated by E.J. McShane)

1939: R.P. Gillespie: Integration
- 1944: R.P. Gillespie: Integration (2nd ed.)

1946: P. Abbott: Teach Yourself Calculus

1947: David V. Widder: Advanced Calculus
- 1961: David V. Widder: Advanced Calculus (2nd ed.)

1951: J.C. Burkill: The Lebesgue Integral

1951: George B. Thomas, Jr.: Calculus and Analytic Geometry
- 1968: George B. Thomas, Jr.: Calculus and Analytic Geometry (4th ed.)
- 1996: George B. Thomas, Jr. and Ross L. Finney: Calculus and Analytic Geometry (9th ed.)

1958: P.J. Hilton: Differential Calculus
1960: P.J. Hilton: Partial Derivatives

1963: Murray R. Spiegel: Theory and Problems of Advanced Calculus
- 1974: Murray R. Spiegel: Theory and Problems of Advanced Calculus (SI ed.)

1964: Frank Ayres, Jr.: Theory and Problems of Differential and Integral Calculus (2nd ed.)
- 1972: Frank Ayres, Jr. and J.C. Ault: Theory and Problems of Differential and Integral Calculus (SI ed.)

1966: Walter Ledermann: Multiple Integrals
1967: Tom M. Apostol: Calculus Volume 1
1967: Michael Spivak: Calculus (4th ed. 2008)

1968: Lynn H. Loomis and Shlomo Sternberg: Advanced Calculus
- 1990: Lynn H. Loomis and Shlomo Sternberg: Advanced Calculus (2nd ed.)

1969: Tom M. Apostol: Calculus Volume 2
1971: Wilfred Kaplan and Donald J. Lewis: Calculus and Linear Algebra

1978: Roland E. Larson and Robert P. Hostetler: Calculus
- 2001: Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards and David E. Heyd: Calculus (7th ed.)
- 2005: Roland E. Larson, Robert P. Hostetler and Bruce H. Edwards: Calculus (8th ed.)
- 2009: Roland E. Larson and Bruce H. Edwards: Calculus (9th ed.)

1980: John C. Amazigo and Lester A. Rubenfeld: Advanced Calculus
1983: K.G. Binmore: Calculus
1997: H.A. Priestley: Introduction to Integration
2017: David Acheson: The Calculus Story

Complex Analysis

1940: E.G. Phillips: Functions of a Complex Variable
- 1957: E.G. Phillips: Functions of a Complex Variable (8th ed.)

1953: Lars V. Ahlfors: Complex Analysis
- 1966: Lars V. Ahlfors: Complex Analysis (2nd ed.)
- 1979: Lars V. Ahlfors: Complex Analysis (3rd ed.)

1960: Walter Ledermann: Complex Numbers
1964: Murray R. Spiegel: Theory and Problems of Complex Variables

1973: John B. Conway: Functions of One Complex Variable
- 1978: John B. Conway: Functions of One Complex Variable (2nd ed.)

1977: Serge Lang: Complex Analysis
1983: Ian Stewart and David Tall: Complex Analysis (The Hitchhiker's Guide to the Plane)

1985: H.A. Priestley: Introduction to Complex Analysis
- 1990: H.A. Priestley: Introduction to Complex Analysis (revised ed.)

1986: Peter Henrici: Applied and Computational Complex Analysis: Volume $\text { 3 }$
1991: Reinhold Remmert: Theory of Complex Functions (2nd ed.)
1999: Jerrold E. Marsden and Michael J. Hoffman: Basic Complex Analysis (3rd ed.)
2001: Christian Berg: Kompleks funktionsteori
2002: Robert E. Greene and Steven G. Krantz: Function Theory of One Complex Variable
2004: James Ward Brown and Ruel V. Churchill: Complex Variables and Applications (7th ed.)
2005: Eberhard Freitag and Rolf Busam: Complex Analysis
2006: Robert E. Greene and Steven G. Krantz: Function Theory of One Complex Variable (3rd ed.)
2008: David C. Ullrich: Complex Made Simple
2009: Murray R. Spiegel, Seymour Lipschutz, John Schiller and Dennis Spellman: Complex Variables (2nd ed.)

Trigonometric Series

1906: H.S. Carslaw: Introduction to the Theory of Fourier's Series and Integrals
- 1921: H.S. Carslaw: Introduction to the Theory of Fourier's Series and Integrals (2nd ed.)
- 1930: H.S. Carslaw: Introduction to the Theory of Fourier's Series and Integrals (3rd ed.)

1935: Antoni Zygmund: Trigonometrical Series
1961: I.N. Sneddon: Fourier Series

1965: Ronald N. Bracewell: The Fourier Transform and its Applications
- 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.)

2004: Loukas Grafakos: Classical Fourier Analysis
- 2008: Loukas Grafakos: Classical Fourier Analysis (2nd ed.)
- 2014: Loukas Grafakos: Classical Fourier Analysis (3rd ed.)

Laplace Transforms

1965: Murray R. Spiegel: Theory and Problems of Laplace Transforms

Functional Analysis

1927: A.R. Forsyth: Calculus of Variations
1946: Gilbert A. Bliss: Lectures on the Calculus of Variations

1948: E. Hille and R.S. Phillips: Functional Analysis and Semi-Groups
- 1957: E. Hille and R.S. Phillips: Functional Analysis and Semi-Groups (2nd ed.)
- 1996: E. Hille and R.S. Phillips: Functional Analysis and Semi-Groups (Revised ed.)

1950: Charles Fox: An Introduction to the Calculus of Variations
- 1963: Charles Fox: An Introduction to the Calculus of Variations (2nd ed.)

1957: A.N. Kolmogorov and S.V. Fomin: Elements of the Theory of Functions and Functional Analysis: Volume $\text { 1 }$ (translated by Leo F. Boron)
1961: A.N. Kolmogorov and S.V. Fomin: Elements of the Theory of Functions and Functional Analysis: Volume $\text { 2 }$ (translated by Leo F. Boron)
1962: N.I. Akhiezer: The Calculus of Variations (translated by Aline H. Frink)
1963: I.M. Gelfand and S.V. Fomin: Calculus of Variations (translated by Richard A. Silverman)

1967: Paul R. Halmos: A Hilbert Space Problem Book
- 1982: Paul R. Halmos: A Hilbert Space Problem Book (2nd ed.)

1978: Erwin Kreyszig: Introductory Functional Analysis with Applications
- 1989: Erwin Kreyszig: Introductory Functional Analysis with Applications (2nd ed.)

1980: Kösaku Yosida: Functional Analysis (6th ed.)

1981: George Leitmann: The Calculus of Variations and Optimal Control
1981: Michael Reed and Barry Simon: Methods of Modern Mathematical Physics I: Functional Analysis (Revised ed.)
1990: Nino Boccara: Functional Analysis: An Introduction for Physicists
1990: John B. Conway: A Course in Functional Analysis
1990: Frigyes Riesz and Béla Sz.-Nagy: Functional Analysis (translated by Leo F. Boron)
1991: Walter Rudin: Functional Analysis (2nd ed.)
1992: Hans Sagan: Introduction to the Calculus of Variations
1995: Gert K. Pedersen: Analysis Now (2nd ed.)
1996: Georgi E. Shilov: Elementary Functional Analysis
1996: Mariano Giaquinta and Stefan Hildebrandt: Calculus of Variations I: The Lagrangian Formalism
1996: Mariano Giaquinta and Stefan Hildebrandt: Calculus of Variations II: The Hamiltonian Formalism
1997: Reinhold Meise and Dietmar Vogt: Introduction to Functional Analysis
1998: George Bachman and Lawrence Narici: Functional Analysis
1998: Ram Prakash Kanwal: Generalized Functions: Theory and Technique (2nd ed.)
2001: Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant and Václav Zizler: Functional Analysis and Infinite-Dimensional Geometry
2002: Peter D. Lax: Functional Analysis
2002: Martin Schechter: Principles of Functional Analysis (2nd ed.)
2004: Bruce van Brunt: The Calculus of Variations
2004: Yuli Eidelman, Vitali Milman and Antonis Tsolomitis: Functional Analysis: An Introduction
2004: John A. Burns: Introduction to The Calculus of Variations and Control with Modern Applications
2009: Srinivasan Kesavan: Functional Analysis
2009: Barbara D. MacCluer: Elementary Functional Analysis
2010: Haïm Brezis: Functional Analysis, Sobolev Spaces and Partial Differential Equations
2011: Elias M. Stein and Rami Shakarchi: Functional Analysis: An Introduction to Further Topics in Analysis
2012: Alberto Bressan: Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations
2013: Philippe G. Ciarlet: Linear and Nonlinear Functional Analysis with Applications
2013: Francis Clarke: Functional Analysis, Calculus of Variations and Optimal Control
2014: Mark Kot: A First Course in the Calculus of Variations
2014: Joseph Muscat: Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
2017: Manfred Einsiedler and Thomas Ward: Functional Analysis, Spectral Theory, and Applications
2017: Amol Sasane: A Friendly Approach to Functional Analysis
2018: Theo Bühler and Dietmar A. Salamon: Functional Analysis
2020: James C. Robinson: Introduction to Functional Analysis

Measure Theory

1950: Paul R. Halmos: Measure Theory
1953: Marshall E. Munroe: Introduction to Measure and Integration

1980: Donald L. Cohn: Measure Theory
- 2013: Donald L. Cohn: Measure Theory (2nd ed.)

1981: G. de Barra: Measure Theory and Integration
1992: Lawrence C. Evans and Ronald F. Gariepy: Measure Theory and Fine Properties of Functions
2001: Christian Berg and Tage Gutmann Madsen: Mål- og integralteori
2005: René L. Schilling: Measures, Integrals and Martingales

Dynamical Systems Theory

Special Functions

1829: Carl Jacobi: Fundamenta Nova Theoriae Functionum Ellipticarum

1895: Andrew Gray and G.B. Mathews: A Treatise on Bessel Functions
- 1922: Andrew Gray and G.B. Mathews: A Treatise on Bessel Functions (2nd ed.) (with T.M. MacRobert)

1916: J.L. Jensen: An Elementary Exposition of the Theory of the Gamma Function

1946: F.E. Relton: Applied Bessel Functions

1981: Leonard Lewin: Polylogarithms and Associated Functions

1985: Aleksandar Ivić: The Riemann Zeta-Function

1986: Larry C. Andrews: Special Functions for Engineers and Applied Mathematicians
- 1992: Larry C. Andrews: Special Functions of Mathematics for Engineers (second edition of Special Functions for Engineers and Applied Mathematicians from 1985)

1999: George E. Andrews, Richard Askey and Ranjan Roy: Special Functions

Differential Equations

1920: H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications
- 1928: H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications (revised and enlarged ed.)
- 1952: H.T.H. Piaggio: An Elementary Treatise on Differential Equations and their Applications (revised ed.)

1926: E.L. Ince: Ordinary Differential Equations

1939: E.L. Ince: Integration of Ordinary Differential Equations

1956: J.C. Burkill: The Theory of Ordinary Differential Equations
- 1962: J.C. Burkill: The Theory of Ordinary Differential Equations (2nd ed.)

1958: G.E.H. Reuter: Elementary Differential Equations & Operators

1959: Garrett Birkhoff and Gian-Carlo Rota: Ordinary Differential Equations
- 1962: Garrett Birkhoff and Gian-Carlo Rota: Ordinary Differential Equations (2nd ed.)
- 1978: Garrett Birkhoff and Gian-Carlo Rota: Ordinary Differential Equations (3rd ed.)

1963: Morris Tenenbaum and Harry Pollard: Ordinary Differential Equations

1972: George F. Simmons: Differential Equations
- 1991: George F. Simmons: Differential Equations (2nd ed.)

1974: Morris W. Hirsch and Stephen Smale: Differential Equations, Dynamical Systems and Linear Algebra

1974: Amnon Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations
- 1983: Amnon Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations (2nd ed.)

1981: Erich Müller-Pfeiffer: Spectral Theory of Ordinary Differential Operators

1982: Richard K. Miller and Anthony N. Michel: Ordinary Differential Equations

1965: William E. Boyce and Richard C. DiPrima: Elementary Differential Equations and Boundary Value Problems

2005: J. David Logan: A First Course in Differential Equations

Partial Differential Equations

1990: Walter A. Strauss: Partial Differential Equations: An Introduction
- 2008: Walter A. Strauss: Partial Differential Equations: An Introduction (2nd ed.)

Laplace's Equation

1961: D.R. Bland: Solutions of Laplace's Equation

Topology

1847: Johann Benedict Listing: Vorstudien zur Topologie

1922: Oswald Veblen: Analysis Situs
- 1931: Oswald Veblen: Analysis Situs (2nd ed.)

1941: W. Hurewicz and H. Wallman: Dimension Theory
1949: Solomon Lefschetz: Introduction to Topology
1953: P.J. Hilton: An Introduction to Homotopy Theory
1955: John L. Kelley: General Topology

1956: E.M. Patterson: Topology
- 1959: E.M. Patterson: Topology (2nd ed.)

1957: A.H. Wallace: Introduction to Algebraic Topology
1961: John G. Hocking and Gail S. Young: Topology

1962: Bert Mendelson: Introduction to Topology
- 1968: Bert Mendelson: Introduction to Topology (2nd ed.)
- 1975: Bert Mendelson: Introduction to Topology (3rd ed.)

1963: Louis Auslander and Robert E. MacKenzie: Introduction to Differentiable Manifolds
1963: George F. Simmons: Introduction to Topology and Modern Analysis
1964: Stephen Barr: Experiments in Topology
1964: Steven A. Gaal: Point Set Topology
1964: S.T. Hu: Elements of General Topology
1964: W.J. Pervin: Foundations of General Topology
1964: A.P. Robertson and W.J. Robertson: Topological Vector Spaces
1965: Jean-Pierre Serre: Galois Cohomology
1966: W.G. Chinn and Norman E. Steenrod: First Concepts of Topology
1966: James Dugundji: Topology
1966: S.T. Hu: Introduction to General Topology

1966: K. Kuratowski: Introduction to Set Theory and Topology
- 1972: K. Kuratowski: Introduction to Set Theory and Topology (2nd ed.)

1966: Helmut H. Schaefer: Topological Vector Spaces

1967: Donald W. Blackett: Elementary Topology
- 1982: Donald W. Blackett: Elementary Topology (2nd ed.)

1967: M. Fréchet and K. Fan: Combinatorial Topology
1967: M. Greenberg: Lectures on Algebraic Topology
1967: J. Greever: Theory and Examples of Point-Set Topology
1967: W.S. Massey: Algebraic Topology: An Introduction
1967: George McCarty: Topology: An Introduction with Application to Topological Groups
1967: I.M. Singer and J.A. Thorpe: Lecture Notes on Elementary Topology and Geometry)
1968: E.T. Copson: Metric Spaces

1970: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.)

1970: Stephen Willard: General Topology
1971: William W. Fairchild and Cassius Ionescu Tulcea: Topology
1971: Robert H. Kasriel: Undergraduate Topology
1972: I. Kaplansky: Set Theory and Metric Spaces
1972: C.T.C. Wall: A Geometrical Introduction to Topology
1975: James R. Munkres: Topology
1975: W.A. Sutherland: Introduction to Metric and Topological Spaces

1977: Ryszard Engelking: General Topology
- 1989: Ryszard Engelking: General Topology (revised and completed ed.)

1982: Peter T. Johnstone: Stone Spaces

1983: Theodore W. Gamelin and Robert Everist Greene: Introduction to Topology
- 1999: Theodore W. Gamelin and Robert Everist Greene: Introduction to Topology (2nd ed.)

1984: Klaus Jänich: Topology
1986: Viorel Barbu and Th. Precupanu: Convexity and Optimization in Banach spaces
1990: Ioana Cioranescu: Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems
1994: Charles Weibel: An Introduction to Homological Algebra
1997: Christian Berg: Metriske rum
1997: Gerard Buskes and Arnoud van Rooij: Topological Systems: From Distance to Neighborhood

2000: John M. Lee: Introduction to Topological Manifolds
- 2011: John M. Lee: Introduction to Topological Manifolds (2nd ed.)

2002: Allen Hatcher: Algebraic Topology

2003: John M. Lee: Introduction to Smooth Manifolds
- 2013: John M. Lee: Introduction to Smooth Manifolds (2nd ed.)

2005: G. Auliac and J.-Y. Caby: Mathématiques, Topologie et Analyse
2006: Robert Messer and Philip Straffin: Topology Now!
2007: Robert B. Ash: Real Variables with Basic Metric Space Topology
2012: Jorge Picado and Aleš Pultr: Frames and Locales

Knot Theory

1963: R.H. Crowell and R.H. Fox: Introduction to Knot Theory
1994: Colin C. Adams: The Knot Book

Probability and Statistics

1657: Christiaan Huygens: De Ratiociniis in Ludo Aleae
1662: John Graunt: Natural and Political Observations Mentioned in a Following Index and Made upon the Bills of Mortality
1713: Jacob Bernoulli: Ars Conjectandi
1718: A. de Moivre: The Doctrine of Chances
1730: A. de Moivre: Miscellanea Analytica
1812: Pierre-Simon de Laplace: Théorie Analytique des Probabilités
1866: John Venn: Logic of Chance
1896: H. Poincaré: Calcul des Probabilités
1925: Ronald A. Fisher: Statistical Methods for Research Workers

1933: A. Kolmogoroff: Grundbegriffe der Wahrscheinlichkeitsrechnung
- 1950: A.N. Kolmogorov: Foundations of the Theory of Probability

1945: Harald Cramér: Mathematical Methods of Statistics

1950: Alexander M. Mood: Introduction to the Theory of Statistics
- 1963: Alexander M. Mood and Franklin A. Graybill: Introduction to the Theory of Statistics (2nd ed.)

1954: Leonard J. Savage: The Foundations of Statistics
- 1972: Leonard J. Savage: The Foundations of Statistics (2nd ed.)

1959: E.B. Dynkin: Theory of Markov Processes (translation into English by D.E. Brown, 1961)
1959: P.A.P. Moran: The Theory of Storage
1961: D.R. Cox and Walter L. Smith: Queues

1961: Murray R. Spiegel: Theory and Problems of Statistics
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.)

1962: R.G. Brown: Smoothing, Forecasting and Predicting of Discrete Time Series
1965: A.M. Arthurs: Probability Theory
1965: D.R. Cox and H.D. Miller: The Theory of Stochastic Processes

1965: Frederick Mosteller: Fifty Challenging Problems in Probability with Solutions
- 1987: Frederick Mosteller: Fifty Challenging Problems in Probability with Solutions (2nd ed.)

1965: A.A. Sveshnikov: Sbornik Sadach po Teorii Veroyatnostey, Matematicheskoy Statistike i Teorii Sluchaynykh Funktsiy
- 1968: A.A. Sveshnikov: Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions (translated by Richard A. Silverman)

1968: H.T. Hayslett, MS: Statistics Made Simple
- 1971: H.T. Hayslett, MS: Statistics Made Simple (2nd ed.)
- 1974: H.T. Hayslett, MS: Statistics Made Simple (3rd ed.)

1970: George Box and Gwilym Jenkins: Time Series Analysis: Forecasting and Control

1970: Michael C. Gemignani: Calculus and Statistics
1973: Geoffrey Keppel: Design and Analysis: A Researcher's Handbook
1974: K.L. Chung: A Course in Probability Theory (2nd ed.)

1975: Murray R. Spiegel, John Schiller and R. Alu Srinivasan: Probability and Statistics
- 2000: Murray R. Spiegel, John Schiller and R. Alu Srinivasan: Probability and Statistics (2nd ed.)

1976: Patrick Billingsley: Probability and Measure
- 1986: Patrick Billingsley: Probability and Measure (2nd ed.)
- 1995: Patrick Billingsley: Probability and Measure (3rd ed.)

1977: J.W. Tukey: Exploratory Data Analysis

1978: George E.P. Box, William G. Hunter and J. Stuart Hunter: Statistics for Experimenters)

1986: Geoffrey Grimmett and Dominic Welsh: Probability: An Introduction
- 2014: Geoffrey Grimmett and Dominic Welsh: Probability: An Introduction (2nd ed.)

1989: R.M. Dudley: Real Analysis and Probability
- 2002: R.M. Dudley: Real Analysis and Probability (2nd ed.)

1990: George C. Casella and Roger L. Berger: Statistical Inference
- 2002: George C. Casella and Roger L. Berger: Statistical Inference (2nd ed.)

1995: Merrilee H. Salmon: Introduction to Logic and Critical Thinking
1999: Stephen Bernstein and Ruth Bernstein: Elements of Statistics II: Inferential Statistics
2001: Michael A. Bean: Probability: The Science of Uncertainty
2001: Geoffrey Grimmett and David Stirzaker: Probability and Random Processes (3rd ed.)
2005: Neil A. Weiss: A Course in Probability
2011: Charles Henry Brase and Corrinne Pellillo Brase: Understandable Statistics (10th ed.)
2014: Achim Klenke: Probability Theory (2nd ed.)
2016: Jean-François Le Gall: Brownian Motion, Martingales, and Stochastic Calculus

Nonlinear Systems

1977: D.W. Jordan and P. Smith: Nonlinear Ordinary Differential Equations
1992: P.G. Drazin: Nonlinear Systems

Catastrophe Theory

1972: René Thom: Stabilité structurelle et morphogenèse ("Structural Stability and Morphogenesis")
1976: T. Poston and I.N. Stewart: Taylor Expansions and Catastrophes

Chaos Theory

1977: Benoit B. Mandelbrot: Fractals: Form, Chance and Dimension
1982: Benoit B. Mandelbrot: The Fractal Geometry of Nature (revised and enlarged version of Fractals: Form, Chance and Dimension)
1987: James Gleick: Chaos: Making a New Science
1989: Ian Stewart: Does God Play Dice?
1989: Brian H. Kaye: A Random Walk through Fractal Dimensions
1994: Ian Stewart and Jack Cohen: The Collapse of Chaos

Computer Science

1948: Norbert Wiener: Cybernetics: Or Control and Communication in the Animal and the Machine
1954: A.A. Markov Jr.: Teoriya Algorifmov
- 1984: A.A. Markov Jr. and N.M. Nagorny: Teoriya Algorifmov (Revised and Enlarged ed.)
- 1988: A.A. Markov Jr. and N.M. Nagorny: The Theory of Algorithms (translated by M. Greendlinger)

1968: John E. Hopcroft and Jeffrey D. Ullman: Formal Languages and Their Relation to Automata

1979: John E. Hopcroft and Jeffrey D. Ullman: Introduction to Automata Theory, Languages, and Computation
- 2000: John E. Hopcroft and Jeffrey D. Ullman: Introduction to Automata Theory, Languages, and Computation (2nd ed.)
- 2006: John E. Hopcroft, Rajeev Motwani and Jeffrey D. Ullman: Introduction to Automata Theory, Languages, and Computation (3rd ed.)

1990: Thomas H. Cormen, Charles E. Leiserson and Ronald L. Rivest: Introduction to Algorithms
- 2001: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Cliff Stein: Introduction to Algorithms (2nd ed.)
- 2009: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Cliff Stein: Introduction to Algorithms (3rd ed.)

1997: Michael Sipser: Introduction to the Theory of Computation
- 2005: Michael Sipser: Introduction to the Theory of Computation (2nd ed.)
- 2013: Michael Sipser: Introduction to the Theory of Computation (3rd ed.)

1999: Donald L. Kreher and Douglas R. Stinson: Combinatorial Algorithms: Generation, Enumeration, and Search

Game Theory

1944: John von Neumann and Oskar Morgenstern: Theory of Games and Economic Behaviour
- 1947: John von Neumann and Oskar Morgenstern: Theory of Games and Economic Behaviour (2nd ed.)

1956: Steven Vajda: The Theory of Games and Linear Programming
1957: R. Duncan Luce and Howard Raiffa: Games and Decisions
1960: T.C. Schelling: The Strategy of Conflict

1970: Morton D. Davis: Game Theory
- 1983: Morton D. Davis: Game Theory (revised ed.)

1976: John H. Conway: On Numbers And Games
1982: Martin Shubik: Game Theory in the Social Sciences
1982: J. Maynard Smith: Evolution and the Theory of Games
1983: Eric van Damme: Refinements of the Nash Equilibrium Concept
1986: Hervé Moulin: Game Theory for the Social Sciences

1987: Eric van Damme: Stability and Perfection of Nash Equilibria
- 1991: Eric van Damme: Stability and Perfection of Nash Equilibria (2nd ed.)

1988: D.M. Kreps: Notes on the Theory of Choice
1989: Robert J. Aumann: Lectures on Game Theory
1990: D.M. Kreps: Game Theory and Economic Modelling
1990: James W. Friedman: Game Theory with Applications to Economics
1991: Drew Fudenberg and Jean Tirole: Game Theory
1991: Roger B. Myerson: Game Theory
1992: K.G. Binmore: Fun and Games: A Text on Game Theory
1992: Robert Gibbons: Game Theory for Applied Economists
1994: Martin J. Osborne and Ariel Rubinstein: A Course in Game Theory
2000: Elwyn Berlekamp: The Dots-and-Boxes Game

Numerical Analysis

1952: D.R. Hartree: Numerical Analysis
- 1958: D.R. Hartree: Numerical Analysis (2nd ed.)

1962: Richard W. Hamming: Numerical Methods for Scientists and Engineers
- 1973: R.W. Hamming: Numerical Methods for Scientists and Engineers (2nd ed.)

1964: B. Noble: Numerical Methods: Volume $\text { 1 }$

1964: B. Noble: Numerical Methods: Volume $\text { 2 }$

1973: Alexander Graham: Numerical Analysis

1986: James G. Simmonds and James E. Mann, Jr.: A First Look at Perturbation Theory
- 1998: James G. Simmonds and James E. Mann, Jr.: A First Look at Perturbation Theory (2nd ed.)

1997: Walter Gautschi: Numerical Analysis: An Introduction

Applied Mathematics

1966: George Arfken: Mathematical Methods for Physicists
- 1970: George Arfken: Mathematical Methods for Physicists (2nd ed.)
- 2003: George Arfken and Hans J. Weber: Mathematical Methods for Physicists (5th ed.)
- 2013: George Arfken, Hans J. Weber and Frank E. Harris: Mathematical Methods for Physicists (7th ed.)

1971: Patrick J. Murphy: Applied Mathematics Made Simple
- 1975: Patrick J. Murphy: Applied Mathematics Made Simple (revised ed.)

1974: V.I. Arnold: Mathematical Methods of Classical Mechanics
1976: K. Weltner and W.J. Weber: Mathematics for Engineers and Scientists (translated into English 1986 by J. Grosjean and P. Schuster)
1982: Peter Walters: An Introduction to Ergodic Theory
1983: S.L. Crouch and A.M. Starfield: Boundary Element Methods in Solid Mechanics
1986: Kurt Arbenz and Alfred Wohlhauser: Advanced Mathematics for Practicing Engineers
1990: William Parry and Mark Pollicott: Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics
1996: Fayssal Benkhaldoun and Roland Vilsmeier: Finite Volumes for Complex Applications
1999: Roland Vilsmeier, Fayssal Benkhaldoun and Dieter Hänel: Finite Volumes for Complex Applications II
2011: Manfred Einsiedler and Thomas Ward: Ergodic Theory: with a view towards Number Theory

Analytical Mechanics

1744: Leonhard Paul Euler: Methodus Inveniendi Lineas Curvas

Physics

1638: Galileo Galilei: Discorsi e Dimostrazioni Matematiche Intorno a Due Nuove Scienze
1644: Marin Mersenne: Cogitata Physico-Mathematica
1743: Jean le Rond d'Alembert: Traité de dynamique
1867: Sir William Thomson and Peter Guthrie Tait: Treatise on Natural Philosophy
1909: Hermann Minkowski: Raum und Zeit
1926: Albert Einstein: Investigations on the Theory of the Brownian Movement (translated by A.D. Cowper)

1946: Harold Jeffreys and Bertha Swirles Jeffreys: Methods of Mathematical Physics

1950: S.G. Starling and A.J. Woodall: Physics
- 1957: S.G. Starling and A.J. Woodall: Physics (2nd ed.)

1953: Philip M. Morse and Herman Feshbach: Methods of Theoretical Physics

1958: M. Nelkon and P. Parker: Advanced Level Physics
- 1964: M. Nelkon and P. Parker: Advanced Level Physics (2nd ed.)
- 1970: M. Nelkon and P. Parker: Advanced Level Physics (3rd ed.)

1961: D.S. Jones: Electrical & Mechanical Oscillations
1963: Arthur Beiser: Concepts of Modern Physics
1965: Richard P. Feynman: The Character of Physical Law
1966: Isaac Asimov: Understanding Physics
1969: Frederick W. Byron, Jr. and Robert W. Fuller: Mathematics of Classical and Quantum Physics: Volume $\text { 1 }$
1970: Frederick W. Byron, Jr. and Robert W. Fuller: Mathematics of Classical and Quantum Physics: Volume $\text { 2 }$
1974: Allan M. Munn: From Nought to Relativity
1976: Martin Gardner: The Relativity Explosion (revised edition of Relativity for the Million from 1962)
1988: Stephen W. Hawking: A Brief History of Time
1989: Roger Penrose: The Emperor's New Mind
1992: Frederick W. Byron, Jr. and Robert W. Fuller: Mathematics of Classical and Quantum Physics (republication of Mathematics of Classical and Quantum Physics, Volume 1 and Mathematics of Classical and Quantum Physics, Volume 2 in one volume)
1993: Stephen Hawking: Black Holes and Baby Universes and Other Essays
1994: Richard P. Feynman: Six Easy Pieces
1997: Richard P. Feynman: Six Not-So-Easy Pieces
2001: Stephen Hawking: The Universe in a Nutshell
2004: Roger Penrose: The Road to Reality: A Complete Guide to the Laws of the Universe
2010: Roger Penrose: Cycles of Time: An Extraordinary New View of the Universe
2013: Gerd Rudolph and Matthias Schmidt: Differential Geometry and Mathematical Physics
2015: Thomas Povey: Professor Povey's Perplexing Problems

Thermodynamics

1904: James Jeans: The Dynamical Theory of Gases
1822: Joseph Fourier: Théorie Analytique de la Chaleur
1824: S. Carnot: Réflexions sur la puissance motrice du feu

1963: Kerson Huang: Statistical Mechanics
- 1987: Kerson Huang: Statistical Mechanics (2nd ed.)

1970: G.A.P. Wyllie: Elementary Statistical Mechanics

Electromagnetism

1873: James Clerk Maxwell: A Treatise on Electricity and Magnetism (2 volumes)
1908: James Jeans: The Mathematical Theory of Electricity and Magnetism

1948: C.A. Coulson: Electricity
- 1951: C.A. Coulson: Electricity (2nd ed.)
- 1953: C.A. Coulson: Electricity (3rd ed.)
- 1956: C.A. Coulson: Electricity (4th ed.)
- 1958: C.A. Coulson: Electricity (5th ed.)

1975: I.S. Grant and W.R. Phillips: Electromagnetism
- 1990: I.S. Grant and W.R. Phillips: Electromagnetism (2nd ed.)

Electronics

1966: Ralph J. Smith: Circuits, Devices and Systems
- 1971: Ralph J. Smith: Circuits, Devices and Systems (2nd ed.)
- 1976: Ralph J. Smith: Circuits, Devices and Systems (3rd ed.)

Atomic Physics

1933: Max Born: Moderne Physik
- 1935: Max Born: Atomic Physics (translated by John Dougall from Moderne Physik)
  - 1937: Max Born: Atomic Physics (2nd ed.)
  - 1944: Max Born: Atomic Physics (3rd ed.)
  - 1946: Max Born: Atomic Physics (4th ed.)
  - 1951: Max Born: Atomic Physics (5th ed.)
  - 1957: Max Born: Atomic Physics (6th ed.)
  - 1962: Max Born: Atomic Physics (7th ed.)

1959: L.R.B. Elton: Introductory Nuclear Theory
- 1965: L.R.B. Elton: Introductory Nuclear Theory (2nd ed.)

1966: H.M. Assenheim: Introduction to Electron Spin Resonance
1967: M. Russell Wehr, James A. Richards, Jr. and Thomas W. Adair, III: Physics of the Atom

Quantum Mechanics

1932: John von Neumann: Mathematische Grundlagen der Quantenmechanik ("Mathematical Foundations of Quantum Mechanics")
1978: A.P. French and Edwin F. Taylor: An Introduction to Quantum Physics
1986: Anthony Sudbery: Quantum Mechanics and the Particles of Nature
1998: Yoav Peleg, Reuven Pnini and Elyahu Zaarur: Quantum Mechanics
2013: Brian C. Hall: Quantum Theory for Mathematicians
2016: Richard J. Miller: Unity Root Matrix Theory: A Quark Flavour Model
2023: Jean-Bernard Bru and Walter Alberto de Siqueira Pedra: C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

Relativity Theory

1962: Derek F. Lawden: Tensor Calculus and Relativity
- 1968: Derek F. Lawden: Tensor Calculus and Relativity (2nd ed.)
- 1975: Derek F. Lawden: Tensor Calculus and Relativity (3rd ed.)

1968: A.P. French: Special Relativity

Mechanics

1648: John Wilkins: Mathematical Magick
1736: Leonhard Paul Euler: Mechanica
1803: Louis Poinsot: Éléments de statique
1920: Edwin Bidwell Wilson: Aeronautics: A Class Text

1939: Thomas Bevan: The Theory of Machines
- 1943: Thomas Bevan: The Theory of Machines (2nd ed.)
- 1956: Thomas Bevan: The Theory of Machines (3rd ed.)

1951: D.E. Rutherford: Classical Mechanics
- 1957: D.E. Rutherford: Classical Mechanics (2nd ed.)
- 1964: D.E. Rutherford: Classical Mechanics (3rd ed.)

1958: J.W. Leech: Classical Mechanics
- 1965: J.W. Leech: Classical Mechanics (2nd ed.)

1966: T.W.B. Kibble: Classical Mechanics
- 1973: T.W.B. Kibble: Classical Mechanics (2nd ed.)
- 1985: T.W.B. Kibble: Classical Mechanics (3rd ed.)

1980: A.J.M. Spencer: Continuum Mechanics (reprinted 1985, 1988, 1990, 1992 and 2004)

Celestial Mechanics

1454: Georg von Peuerbach: Theoricae Novae Planetarum ("New Theory of the Planets")
1543: Nicolaus Copernicus: De Revolutionibus Orbium Coelestium
1551: Erasmus Reinhold: Prutenicae Tabulae Coelestium Motuum
1596: Johannes Kepler: Mysterium Cosmographicum
1609: Johannes Kepler: Astronomia Nova
1619: Johannes Kepler: Harmonices Mundi
1618 – 1621: Johannes Kepler: Epitome Astronomiae Copernicanae
1623: Galileo Galilei: Il Saggiatore ("The Assayer")
1632: Galileo Galilei: Dialogue Concerning the Two Chief World Systems
1687: Isaac Newton: Philosophiae Naturalis Principia Mathematica (usually referred to as the Principia)
1799 – 1825: Pierre-Simon de Laplace: Traité de Mécanique Céleste
1809: Carl Friedrich Gauss: Theoria Motus Corporum Coelestium

1892 – 1899: H. Poincaré: Les Méthodes nouvelles de la mécanique céleste ("New Methods in Celestial Mechanics") (3 volumes)

1931: W.M. Smart: Textbook on Spherical Astronomy
- 1976: W.M. Smart: Textbook on Spherical Astronomy (6th ed.)

Wave Mechanics

1941: C.A. Coulson: Waves
- 1943: C.A. Coulson: Waves (2nd ed.)
- 1944: C.A. Coulson: Waves (3rd ed.)
- 1947: C.A. Coulson: Waves (4th ed.)
- 1949: C.A. Coulson: Waves (5th ed.)
- 1952: C.A. Coulson: Waves (6th ed.)
- 1955: C.A. Coulson: Waves (7th ed.)

1960: D.R. Bland: Vibrating Strings

Fluid Mechanics

1951: Victor L. Streeter: Fluid Mechanics
- 1966: Victor L. Streeter: Fluid Mechanics (4th ed.)

1953: Hunter Rouse and J.W. Howe: Basic Mechanics of Fluids

Optics

1704: Isaac Newton: Opticks

Acoustics

1627: Marin Mersenne: Harmonie Universelle

Crystallography

Economics

1921: Frank H. Knight: Risk, Uncertainty and Profit
1944: John von Neumann and Oskar Morgenstern: Theory of Games and Economic Behaviour
1955: Alec Cairncross: Introduction to Economics (2nd ed.)

1958: James M. Henderson and Richard E. Quandt: Microeconomic Theory: A Mathematical Approach
- 1971: James M. Henderson and Richard E. Quandt: Microeconomic Theory: A Mathematical Approach (2nd ed.)

Accounting

1975: L.W.J. Owler and J.L. Brown: Wheldon's Cost Accounting and Costing Methods (13th ed.)

Operations Research

1959: Maurice Sasieni, Arthur Yaspan and Lawrence Friedman: Operations Research: Methods and Problems

Proceedings of Conferences

1913: E.W. Hobson: Proceedings of the Fifth International Congress of Mathematicians

Early Mathematics

c. 1650 BCE: Ahmes: Rhind Papyrus
c. 430 BCE: Hippocrates of Chios: Elements of Geometry
c. 300 BCE: Euclid: The Elements
c. 260 BCE: Aristarchus of Samos: On the Sizes and Distances of the Sun and Moon (Περὶ μεγεθῶν καὶ ἀποστημάτων ἡλίου καὶ σελήνης)
c. 250 BCE: Archimedes: On the Quadrature of the Parabola
c. 250 BCE: Archimedes: Measurement of a Circle
c. 250 BCE: Archimedes: The Method
c. 250 BCE: Archimedes: On the Sphere and Cylinder (2 books)
c. 250 BCE: Archimedes: On Conoids and Spheroids
c. 250 BCE: Archimedes: On Spirals
c. 250 BCE: Archimedes: On Floating Bodies (2 books)
c. 250 BCE: Archimedes: The Sand-Reckoner
c. 230 BCE: Apollonius of Perga: Conics
c. 230 BCE: Apollonius of Perga: Ἐπαφαί, also known as c. 230 BCE: Apollonius of Perga: De Tactionibus ("Tangencies", or "On Contacts")
c. 200 BCE: Apollonius of Perga: De Locis Planis (Τόποι ἐπίπεδοι: "Plane Loci")
c. 100 BCE: Nicomachus of Gerasa: Introduction to Arithmetic
c. 60: Heron: Pneumatica
c. 60: Heron: Metrica
c. 100: Anonymous: Chiu Chang Suann Jing
c. 110: Menelaus of Alexandria: Sphaerica
c. 150: Claudius Ptolemy: Almagest
c. 150: Claudius Ptolemy: Apotelesmatika

c. 250: Diophantus of Alexandria: Arithmetica
- 1621: Claudio Gaspare Bacheto: Diophanti Alexandrini Arithmeticorum
- 1885: T.L. Heath: Diophantus of Alexandria
  - 1910: Sir Thomas L. Heath: Diophantus of Alexandria (2nd ed.)

263: Liu Hui: Haidao Suanjing
263: Liu Hui: Commentary on the Nine Chapters on the Mathematical Art
c. 280 - 473: Sun Tzu: Sun Tzu Suan Ching (孙子算经: "Sun Tzu's Calculation Classic")
c. 340: Pappus of Alexandria: Collection
1st Millennium: Anonymous: Bakhshali Manuscript
c. 450: Zu Chongzhi: Method of Interpolation (now lost)
458: Sarvanandin: Lokavibhaga
c. 466 -- c. 485: Zhang Qiujian: Zhang Qiujian Suanjing ("Zhang Qiujian's Mathematical Manual")
499: Aryabhata the Elder: Aryabhatiya
c. 500: Boethius: De Arithmetica
c. 500: Boethius: Geometria
c. 575: Varahamihira: Pancha-Siddhantika
c. 600: Bhaskara I: Mahabhaskariya
628: Brahmagupta: Brahmasphutasiddhanta ("The Opening of the Universe" or "The Revised System of Brahma")
665: Brahmagupta: Khandakhadyaka
c. 800: Alcuin of York: Propositiones ad Acuendos Juvenes
825: Muhammad ibn Musa al-Khwarizmi: Al-jam' w'al-tafriq ib hisab al-hind
c. 830: Muhammad ibn Musa al-Khwarizmi: Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala
830: Al-Kindi: Ketab fi Isti'mal al-'Adad al-Hindi ("On the Use of the Indian Numerals")
c. 850: Mahaviracharya: Ganita Sara Samgraha
c. 880: Thabit ibn Qurra: Book on the Determination of Amicable Numbers
c. 900: Abu Kamil: Kitāb al-ṭarā'if fi'l-ḥisāb (Book of Rare Things in the Art of Calculation)
c. 900: Abu Kamil: Kitāb al-ṭair (Book of Birds)
c. 1050: Chia Hsien: Huangdi Jiuzhang Suanjing Xicao ("The Yellow Emperor's detailed solutions to the Nine Chapters on the Mathematical Art")
c. 1075: Omar Khayyam: On the Proofs of the Problems of Algebra and Muqabala
C12: Abraham ibn Ezra: Sefer ha-Mispar or Yesod Mispar ("Book of the Number")
c. 1150: Bhaskara II Acharya: Lilavati ("The Beautiful")
c. 1150: Bhaskara II Acharya: Bijaganita ("Seed Arithmetic")
c. 1150: Bhaskara II Acharya: Siddhanta Shiromani (or Siddhantasiromani)
1247: Qin Jiushao: Shushu Jiuzhang ("Mathematical Treatise in Nine Sections")
1248: Li Ye: Ceyuan Haijing ("Sea Mirror of Circle Measurements")
c. 1250: Nasir al-Din al-Tusi: Kitāb al-Shakl al-Qattā ("Treatise on the Quadrilateral")
1261: Yang Hui: Xiangjie Jiuzhang Suanfa ("Arithmetic in Nine Sections")
c. 1275: Yang Hui: Xugu Zhaiqi Suanfa
1321: Gersonides: Ma'aseh Hoshev
1478: Anonymous: Treviso Arithmetic

Reference Works

1614: John Napier: Mirifici Logarithmorum Canonis Descriptio

1617: Henry Briggs: Logarithmorum Chilias Prima

1619: John Speidell: New Logarithmes
- 1622: John Speidell: New Logarithmes (2nd ed.)

1624: Henry Briggs: Arithmetica Logarithmica

1692: Joseph Moxon: Mathematicks made Easie, Or, a Mathematical Dictionary, Explaining the Terms of Art, and Difficult Phrases used in Arithmetick, Geometry, Astronomy, Astrology, and other Mathematical Sciences
- 1701: Joseph Moxon and Tho. Tuttell: Mathematicks made Easie, Or a compleat Mathematical Dictionary, Explaining All the Parts of the Mathematicks, with all the Terms of Art, and Difficult Phrases rendred plain and easy for every Capacity

1814: Peter Barlow: New Mathematical Tables
- 1840: Peter Barlow: Barlow's Tables (2nd ed.)
- 1930: L.J. Comrie: Barlow's Tables (3rd ed.)
- 1941: L.J. Comrie: Barlow's Tables (4th ed.)

1878: James Pryde: Chambers's Seven-Figure Mathematical Tables
- 1930: James Pryde and Walter F. Robinson: Chambers's Seven-Figure Mathematical Tables (Latest ed.)

1909: Eugen Jahnke and Fritz Emde: Funktionentafeln mit Formeln und Kurven
- 1933: Eugen Jahnke and Fritz Emde: Funktionentafeln mit Formeln und Kurven (2nd ed.)
- 1938: Eugen Jahnke and Fritz Emde: Funktionentafeln mit Formeln und Kurven (3rd ed.)

1922: James Pryde: Chambers's Seven-Figure Logarithms

1931: Chemical Rubber Company: CRC Standard Mathematical Tables and Formulae
- 2018: Daniel Zwillinger: CRC Standard Mathematical Tables and Formulae (33rd ed.)

1938: R.A. Fisher and Frank Yates: Statistical Tables for Biological, Agricultural and Medical Research
- 1963: R.A. Fisher and Frank Yates: Statistical Tables for Biological, Agricultural and Medical Research (6th ed.)

1947: C. Godfrey and A.W. Siddons: Four-Figure Tables

1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions

1967: J.C. Anderson, D.M. Hum, B.G. Neal and J.H. Whitelaw: Data and Formulae for Engineering Students
- 1969: J.C. Anderson, D.M. Hum, B.G. Neal and J.H. Whitelaw: Data and Formulae for Engineering Students (2nd ed.)

1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables
- 1999: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables (2nd ed.)
- 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.)

1986: David Wells: Curious and Interesting Numbers
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.)

1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics

1989: David Nelson: The Penguin Dictionary of Mathematics

1990: Christopher Clapham: The Concise Oxford Dictionary of Mathematics

1991: David Wells: Curious and Interesting Geometry

1995: N.J.A. Sloane and Simon Plouffe: The Encyclopedia of Integer Sequences

1999: Stanley Rabinowitz and Mark Bowron: Index to Mathematical Problems 1975--1979

1996: Frank Tapson: Mathematics Study Dictionary
- 1999: Frank Tapson: Mathematics Study Dictionary (2nd ed.)

2003: Steven R. Finch: Mathematical Constants

2008: Timothy Gowers: The Princeton Companion to Mathematics

History of Mathematics

1816: John Taylor: Lilawati: or A Treatise on Arithmetic and Geometry by Bhascara Acharya
1817: Henry Thomas Colebrooke: Algebra, with Arithmetic and Mensuration
1880 -- 1918: Moritz Cantor: Vorlesungen über Geschichte der Mathematik ("Lectures on the history of mathematics")
1884: James Gow: A Short History of Greek Mathematics

1893: Gino Loria: Le Scienze Esatte Nell' Antica Grecia ("The Exact Sciences in Ancient Greece")
- 1914: Gino Loria: Le Scienze Esatte Nell' Antica Grecia (2nd ed.) ("The Exact Sciences in Ancient Greece")

1897: T.L. Heath: The Works of Archimedes
1912: Sir Thomas L. Heath: The Method of Archimedes
1912: Sir Thomas L. Heath: The Works of Archimedes with the Method of Archimedes
1912: Philip E.B. Jourdain: The Nature of Mathematics
1912: Rao Bahadur M. Rangacharya: The Ganita-Sara-Sangraha of Mahaviracharya
1913: Yoshio Mikami: The Development of Mathematics in China and Japan
1921: Sir Thomas Heath: A History of Greek Mathematics
1923: T. Eric Peet: The Rhind Mathematical Papyrus
1923: D.E. Smith: History of Mathematics: Volume $\text { 1 }$
1925: D.E. Smith: History of Mathematics: Volume $\text { 2 }$
1928: Florian Cajori: A History of Mathematical Notations: Volume $\text { 1 }$
1929: Florian Cajori: A History of Mathematical Notations: Volume $\text { 2 }$
1929: Herbert Westren Turnbull: The Great Mathematicians
1930: Vera Sanford: A Short History of Mathematics

1934: Karl Menninger: Zahlwort und Ziffer
- 1958: Karl Menninger: Zahlwort und Ziffer (revised ed.)
- 1969: Karl Menninger: Number Words and Number Symbols (translation of Zahlwort und Ziffer)

1937: Eric Temple Bell: Men of Mathematics
1940: Eric Temple Bell: The Development of Mathematics
1940: Julian Lowell Coolidge: A History of Geometrical Methods
1940: G.H. Hardy: Ramanujan
1945: O. Neugebauer and A. Sachs: Mathematical Cuneiform Texts
1948: Oystein Ore: Number Theory and its History

1953: Howard Eves: Introduction to the History of Mathematics

1953: Morris Kline: Mathematics in Western Culture
1955: Lancelot Hogben: The Wonderful World of Mathematics
1956: James R. Newman: The World of Mathematics

1959: P. Dedron and J. Itard: Mathématiques et Mathématiciens (with P. Dedron)

P. Dedron and J. Itard: Mathématiques et Mathématiciens: Volume $\text { 1 }$

P. Dedron and J. Itard: Mathématiques et Mathématiciens: Volume $\text { 2 }$

1973: P. Dedron and J. Itard: Mathematics and Mathematicians (translated by J.V. Field)

1973: P. Dedron and J. Itard: Mathematics and Mathematicians: Volume $\text { 1 }$ (translated by J.V. Field)

1973: P. Dedron and J. Itard: Mathematics and Mathematicians: Volume $\text { 2 }$ (translated by J.V. Field)

1959: J. Needham: Science and Civilisation in China, Volume 3: Mathematics and the Sciences of the Heaven and the Earth

1963: Li Yan and Du Shiran: Chinese Mathematics: A Concise History (original Chinese ed.)
- 1987: Li Yan and Du Shiran: Chinese Mathematics: A Concise History (translated by John N. Crossley and Anthony W.-C. Lun)

1965 -- 1968: Henrietta Midonick: The Treasury of Mathematics
- 1965: Henrietta Midonick: The Treasury of Mathematics: Volume $\text { 1 }$
- 1968: Henrietta Midonick: The Treasury of Mathematics: Volume $\text { 2 }$

1965: Bharati Krishna Tirthaji: Vedic Mathematics

1968: Carl B. Boyer: A History of Mathematics
- 1991: Carl B. Boyer and Uta C. Merzbach: A History of Mathematics (2nd ed.)

1968: R.L. Wilder: Evolution of Mathematical Concepts
- 1973: R.L. Wilder: Evolution of Mathematical Concepts (Paperback ed.)

1969: D.J. Struik: Source Book in Mathematics, 1200-1800
1970: Petr Beckmann: A History of Pi
1972: Richard J. Gillings: Mathematics in the Time of the Pharaohs

1972: Morris Kline: Mathematical Thought From Ancient to Modern Times
- 1990: Morris Kline: Mathematical Thought From Ancient to Modern Times (2nd ed.)

1976: Stanley Gudder: A Mathematical Journey
- 1994: Stanley Gudder: A Mathematical Journey (2nd ed.)

1980: Ivor Thomas: Greek Mathematical Works: Thales to Euclid
1980: Ivor Thomas: Greek Mathematical Works: Aristarchus to Pappus
1981: Howard Eves: Great Moments in Mathematics: Before 1650
1985: Paul R. Halmos: I Want To Be a Mathematician: An Automathography
1986: J.L. Berggren: Episodes in the Mathematics of Medieval Islam
1987: John Fauvel and Jeremy Gray: The History of Mathematics: A Reader

1987: David Fowler: The Mathematics of Plato's Academy
- 1999: David Fowler: The Mathematics of Plato's Academy (2nd ed.)

1987: Ian Stewart: The Problems of Mathematics
- 1992: Ian Stewart: The Problems of Mathematics (2nd ed.)

1990: William Dunham: Journey Through Genius
1992: George F. Simmons: Calculus Gems
1997: Simon Singh: Fermat's Last Theorem
1997: David Wells: Curious and Interesting Mathematics
1999: Robert Kaplan: The Nothing That Is
2002: Keith Devlin: The Millennium Problems
2002: Karl Sabbagh: Dr. Riemann's Zeros
2003: Brian Clegg: A Brief History of Infinity
2003: John Derbyshire: Prime Obsession
2003: Marcus du Sautoy: The Music of the Primes
2005: Stephen Hawking: God Created the Integers
2006: Mark Ronan: Symmetry and the Monster
2008: Ian Stewart: Taming the Infinite
2008: Robin Wilson: Lewis Carroll in Numberland
2017: Ian Stewart: Infinity: A Very Short Introduction

Recreational Mathematics

c. 1500: Fra Luca Pacioli: De Viribus Quantitatis

1612: Claude-Gaspar Bachet: Problèmes Plaisans et Delectables qui se font par les Nombres ("Pleasant and Delectable Problems that are done by Numbers")
- 1624: Claude-Gaspar Bachet: Problèmes Plaisans et Delectables qui se font par les Nombres (2nd ed.)

1624: H. van Etten: Récréations Mathématiques
- 1633: Henry van Etten: Mathematicall Recreations (translated by William Oughtred from Récréations Mathématiques)

1694: Jacques Ozanam: Récréations Mathématiques et Physiques (2 vols)

1774: W. Hooper: Rational Recreations (4 Volumes)
- 1782-3: W. Hooper: Rational Recreations (2nd ed.) (4 Volumes)

1821: John Jackson: Rational Amusement for Winter Evenings

1892: W.W. Rouse Ball: Mathematical Recreations and Essays

1893: T. Sundara Row: Geometrical Exercises in Paper Folding

1907: Henry Ernest Dudeney: The Canterbury Puzzles
- 1919: Henry Ernest Dudeney: The Canterbury Puzzles (2nd ed.)

1908: W.S. Andrews: Magic Squares and Cubes
- 1917: W.S. Andrews: Magic Squares and Cubes (2nd ed.)

1913: Alain C. White: Sam Loyd and his Chess Problems

1914: Sam Loyd: Cyclopedia of Puzzles

1917: Henry Ernest Dudeney: Amusements in Mathematics
1926: Henry Ernest Dudeney: Modern Puzzles
1932: Henry Ernest Dudeney: Puzzles and Curious Problems

1942: Maurice Kraitchik: Mathematical Recreations
- 1960: Maurice Kraitchik: Mathematical Recreations (2nd ed.)

1944: Eugene P. Northrop: Riddles in Mathematics
1949: Malba Tahan: O Homem que Calculava (translated 1993 by Leslie Clark and Alastair Reid as The Man Who Counted)

1952: H.M. Cundy and A.P. Rollett: Mathematical Models
- 1961: H.M. Cundy and A.P. Rollett: Mathematical Models (2nd ed.)

1952: Victor Thébault: Les Récréations Mathématiques

1954: L.H. Clarke: Fun with Figures

1954: Борис А. Кордемский: Математическая смекалка
- 1972: Boris A. Kordemsky: The Moscow Puzzles: 359 Mathematical Recreations (English translation of Математическая смекалка)

1956: Martin Gardner: Mathematics, Magic and Mystery

1958: George Gamow and Marvin Stern: Puzzle-Math

1959: Martin Gardner: The Scientific American Book of Mathematical Puzzles and Diversions
- 1965: Martin Gardner: Mathematical Puzzles and Diversions
- 1988: Martin Gardner: Hexaflexagons and Other Mathematical Diversions (expanded edition of The Scientific American Book of Mathematical Puzzles and Diversions)

1961: A.P. Domoryad: Mathematical Games and Pastimes (translated 1964 by Halina Moss)

1961: Martin Gardner: The Second Scientific American Book of Mathematical Puzzles and Diversions
- 1966: Martin Gardner: More Mathematical Puzzles and Diversions

1963: J.A.H. Hunter and Joseph S. Madachy: Mathematical Diversions
1963: Roland Sprague: Recreation in Mathematics

1964: Angela Dunn: Mathematical Bafflers (as editor)
- 1980: Angela Dunn: Mathematical Bafflers (revised ed.) (as editor)

1964: Martin Gardner: The Ambidextrous Universe: Mirror Asymmetry and Time-Reversed Worlds
- 1990: Martin Gardner: The New Ambidextrous Universe: Symmetry and Asymmetry from Mirror Reflections to Superstrings (Revised edition of The Ambidextrous Universe: Mirror Asymmetry and Time-Reversed Worlds from 1964)

1964: Harry Lindgren: Geometric Dissections

1965: T.H. O'Beirne: Puzzles and Paradoxes
1965: Ronald C. Read: Tangrams: 330 Puzzles
1966: Martin Gardner: Martin Gardner's New Mathematical Diversions from Scientific American
1966: M.N. Khatri: Excursion in the World of Numbers
1966: Joseph S. Madachy: Mathematics on Vacation
1966: Peter Van Note: Tangrams: Picture-making Puzzle Game

1967: Martin Gardner: The Numerology of Dr. Matrix
- 1976: Martin Gardner: The Incredible Dr. Matrix
- 1985: Martin Gardner: The Magic Numbers of Dr Matrix

1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems (edited by Martin Gardner)

1969: Martin Gardner: Unexpected Hangings, and Other Mathematical Diversions
- 1977: Martin Gardner: Further Mathematical Diversions (reprint of Unexpected Hangings, and Other Mathematical Diversions from 1969)
- 1991: Martin Gardner: The Unexpected Hanging and Other Mathematical Diversions (updated edition of Unexpected Hangings, and Other Mathematical Diversions from 1969)

1970 - 1978: William L. Schaaf: A Bibliography of Recreational Mathematics
1973: Ross Honsberger: Mathematical Gems
1975: Martin Gardner: Mathematical Carnival
1977: Stephen Ainley: Mathematical Puzzles
1977: Martin Gardner: Mathematical Magic Show
1978: Pieter van Delft and Jack Botermans: Creative Puzzles of the World
1979: Martin Gardner: Mathematical Circus
1979: Joseph S. Madachy: Madachy's Mathematical Recreations
1983: Martin Gardner: Wheels, Life, and Other Mathematical Amusements
1984: Hugh ApSimon: Mathematical Byways
1984: Martin Gardner: Puzzles from Other Worlds
1985: C.W. Trigg: Mathematical Quickies
1987: Martin Gardner: Time Travel and Other Mathematical Bewilderments
1987: Michał Szurek: Opowieści matematyczne

1988: Paulo Ribenboim: The Book of Prime Number Records
- 1989: Paulo Ribenboim: The Book of Prime Number Records (2nd ed.)

1990: Hugh ApSimon: More Mathematical Byways
1991: Clifford A. Pickover: Computers and the Imagination
1992: Joe Roberts: Lure of the Integers
1992: Dennis Shasha: Codes, Puzzles, and Conspiracy
1992: David Wells: Curious and Interesting Puzzles
1997: Miodrag Petković: Mathematics and Chess
1997: Clifford A. Pickover: The Alien IQ Test
1997: David Wells: Curious and Interesting Mathematics
2006: Martin Gardner: The Colossal Book of Short Puzzles and Problems
2008: Ian Stewart: Professor Stewart's Cabinet of Mathematical Curiosities
2009: Jeremy Stangroom: Einstein's Riddle
2009: Ian Stewart: Professor Stewart's Hoard of Mathematical Treasures

2010: Alex Bellos: Alex's Adventures in Numberland
- 2020: Alex Bellos: Alex's Adventures in Numberland (2nd ed.)

2014: Alex Bellos: Alex Through the Looking Glass
2014: Ian Stewart: Professor Stewart's Casebook of Mathematical Mysteries
2019: Matt Parker: Humble Pi

Philosophy

c. 380 BCE: Plato: Theaetetus
c. 380 BCE: Plato: Republic
c. 380 BCE: Plato: Timaeus
c. 60 BCE: Lucretius: De Rerum Natura
1714: Gottfried Wilhelm von Leibniz: Monadologie

1874: William Stanley Jevons: The Principles of Science: A Treatise on Logic and Scientific Method
- 1877: William Stanley Jevons: The Principles of Science: A Treatise on Logic and Scientific Method (2nd ed.)

1884: Edwin A. Abbott: Flatland: a Romance of Many Dimensions
1919: Bertrand Russell: Introduction to Mathematical Philosophy
1940: G.H. Hardy: A Mathematician's Apology
1940: Edward Kasner and James R. Newman: Mathematics and the Imagination
1943: W.W. Sawyer: Mathematician's Delight
1945: G. Polya: How To Solve It

1955: Nelson Goodman: Fact, Fiction, and Forecast

1955: W.W. Sawyer: Prelude to Mathematics
1964: W.W. Sawyer: Vision in Elementary Mathematics (Volume $1$ of Introducing Mathematics)
1966: W.W. Sawyer: A Path to Modern Mathematics (Volume $4$ of Introducing Mathematics)

1969: George Spencer-Brown: Laws of Form
- 1972: George Spencer-Brown: Laws of Form (American ed.)

1974: D.E. Knuth: Surreal Numbers
1975: Ian Stewart: Concepts of Modern Mathematics
1977: Rudolf v.B. Rucker: Geometry, Relativity and the Fourth Dimension
1980: Philip J. Davis and Reuben Hersh: The Mathematical Experience
1982: Rudy Rucker: Infinity and the Mind
1983: Nelson Goodman: Fact, Fiction, and Forecast (4th ed.)
1984: A.K. Dewdney: The Planiverse: Computer Contact with a Two-Dimensional World
1985: Rudy Rucker: The Fourth Dimension
1987: Rudy Rucker: Mind Tools
1988: John Allen Paulos: Innumeracy
1991: John Allen Paulos: Beyond Numeracy
1992: Ian Stewart and Martin Golubitsky: Fearful Symmetry
2012: Nate Silver: The Signal and the Noise
2014: Jordan Ellenberg: How Not to be Wrong
2019: Marcus du Sautoy: The Creativity Code
2021: Marcus du Sautoy: Thinking Better: The Art of the Shortcut

Other Science

1798: T.R. Malthus: An Essay on the Principle of Population

1952: Martin Gardner: In the Name of Science
- 1957: Martin Gardner: Fads and Fallacies in the Name of Science (expansion of In the Name of Science)

1954: B.L. van der Waerden: Science Awakening

1957: Martin Gardner: Great Essays in Science (as editor)
- 1984: Martin Gardner: The Sacred Beetle and Other Great Essays in Science (as editor: revised edition of Great Essays in Science from 1957)

2001: Martin Gardner: Did Adam and Eve Have Navels?: Debunking Pseudoscience (collection of Notes of a Fringe Watcher columns)
2008: Ben Goldacre: Bad Science

Entertainment

1874: Lewis Carroll: The Hunting of the Snark
1926: Lewis Carroll: Further Nonsense

1960: Martin Gardner: The Annotated Alice
- 1990: Martin Gardner: More Annotated Alice
- 1999: Martin Gardner: The Annotated Alice: The Definitive Edition

1962: Clifton Fadiman: The Mathematical Magpie
1968: Piet Hein: Runaway Runes: Short Grooks 1
1980: Rudy Rucker: White Light
1985: Richard P. Feynman: Surely You're Joking, Mr. Feynman! (edited by Ralph Leighton)

1986: David Wells: Curious and Interesting Numbers
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.)

1988: Richard P. Feynman: What Do You Care What Other People Think? (edited by Ralph Leighton)
1988: Robert Ainsley: Bluff Your Way in Maths
1995: Ian Stewart: Nature's Numbers: Discovering Order and Pattern in the Universe
1995: David Wells: You Are a Mathematician
1995: Terry Wiley: Surreal School Stories
1996: Calvin C. Clawson: Mathematical Mysteries
1998: Paul Hoffman: The Man Who Loved Only Numbers
2001: Ian Stewart: Flatterland
2005: Clifford A. Pickover: A Passion for Mathematics
2009: Colin C. Adams: Riot at the Calc Exam and Other Mathematically Bent Stories
2010: Ian Stewart: Cows in the Maze
2018: Marcus du Sautoy: The Ultimate Mathematical Challenge

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