Book:Books/Abstract Algebra

The following books covered on $\mathsf{Pr} \infty \mathsf{fWiki}$ discuss abstract algebra and its various subfields.

For a comprehensive list of books referenced on $\mathsf{Pr} \infty \mathsf{fWiki}$ (and more), see Books.

Books

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

• 1951 -- 1964: Nathan Jacobson: Lectures in Abstract Algebra
  • 1951: Nathan Jacobson: Lectures in Abstract Algebra: Volume $\text { I }$: Basic Concepts
  • 1953: Nathan Jacobson: Lectures in Abstract Algebra: Volume $\text { II }$: Linear Algebra
  • 1964: Nathan Jacobson: Lectures in Abstract Algebra: Volume $\text { III }$: The Theory of Fields and Galois Theory

• 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

• 1991: R.B.J.T. Allenby: Rings, Fields and Groups: An Introduction to Abstract Algebra
• 1991: Gertrude Ehrlich: Fundamental Concepts of Abstract Algebra
• 1991: T.Y. Lam: A First Course in Noncommutative Rings
• 1992: William A. Adkins and Steven H. Weintraub: Algebra: An Approach via Module 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
  • 1953: Walter Ledermann: Introduction to the Theory of Finite Groups (2nd ed.)
  • 1957: Walter Ledermann: Introduction to the Theory of Finite Groups (3rd ed.)
  • 1961: Walter Ledermann: Introduction to the Theory of Finite Groups (4th ed.)
  • 1964: Walter Ledermann: Introduction to the Theory of Finite Groups (5th ed.)

• 1964: W.R. Scott: Group Theory

• 1965: Joseph J. Rotman: An Introduction to the Theory of Groups
  • 1973: Joseph J. Rotman: An Introduction to the Theory of Groups (2nd ed.)
  • 1984: Joseph J. Rotman: An Introduction to the Theory of Groups (3rd ed.)
  • 1995: Joseph J. Rotman: An Introduction to the Theory of Groups (4th ed.)

• 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"):
  • 1888: Sophus Lie and Friedrich Engel: Theorie der Transformationsgruppen: Volume $\text { I }$
  • 1890: Sophus Lie and Friedrich Engel: Theorie der Transformationsgruppen: Volume $\text { II }$
  • 1893: Sophus Lie and Friedrich Engel: Theorie der Transformationsgruppen: Volume $\text { III }$

• 1965: Harry J. Lipkin: Lie Groups for Pedestrians
• 1974: Robert Gilmore: Lie Groups, Lie Algebras and Some of their Applications

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