Book:Books/Number Theory

The following books covered on $\mathsf{Pr} \infty \mathsf{fWiki}$ discuss number theory.

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

Books

• 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
  • 1966: Ivan Niven and Herbert S. Zuckerman: An Introduction to the Theory of Numbers (2nd ed.)
  • 1972: Ivan Niven and Herbert S. Zuckerman: An Introduction to the Theory of Numbers (3rd ed.)
  • 1980: Ivan Niven and Herbert S. Zuckerman: An Introduction to the Theory of Numbers (4th ed.)
  • 1991: Ivan Niven, Herbert S. Zuckerman and Hugh L. Montgomery: An Introduction to the Theory of Numbers (5th ed.)

• 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