Number theory
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Broader term:Narrower terms:- Number theory -- Congresses
- Number theory -- Data processing
- Number theory -- Periodicals
- Algebraic number theory
- Combinatorial number theory
- Diophantine analysis
- Forms, Quadratic
- Galois theory
- Magic squares
- Modular functions
- Numeration
- Partitions (Mathematics)
- Recursive functions
- Smarandache notions
- Transfinite numbers
- Numbers, Theory of
- Number study
![[Info]](https://onlinebooks.library.upenn.edu/info.gif)
Elementary Number Theory: Primes, Congruences, and Secrets (free online edition, 2011), by William A. Stein (PDF with commentary at wstein.org)- The Theory of Numbers, and Diophantine Analysis (originally published as two books in 1914 and 1915; combined reprint edition New York: Dover Publications, ca. 1959), by R. D. Carmichael (page images at HathiTrust)
- An Introduction to the Theory of Numbers (West Lafayette, IN: The Trillia Group, c1957), by Leo Moser (PDF files with commentary at trillia.com)
- Introduction to Algebraic Number Theory (Columbus: Ohio State University Press, 1955), by Henry B. Mann, contrib. by Marshall Hall (page images at HathiTrust)
- An Elementary Investigation of the Theory of Numbers, by Peter Barlow (page images at Cornell)
- The Elements of the Theory of Algebraic Numbers, by Legh Wilber Reid, contrib. by David Hilbert (page images at Cornell)
- The General Theory of Dirichlet's Series, by G. H. Hardy and Marcel Riesz (page images at Cornell)
- Lehrbuch der Algebra (second edition, 3 volumes in German; Braunschweig: F. Vieweg and Son, 1898-1908), by Heinrich Weber
- The Metaphysics of Aristotle, Translated From the Greek, With Copious Notes, in Which the Pythagoric and Platonic Dogmas Respecting Numbers and Ideas are Unfolded From Antient Sources; To Which is Added, A Dissertation on Nullities and Diverging Series (London: Printed for the author, 1801), by Aristotle and Thomas Taylor
- Traité d'Algèbre Supérieure (3 volumes in 1, in French from the second German edition; Paris: Gauthier-Villars, 1898), by Heinrich Weber, trans. by J. Griess (page images at HathiTrust)
- Quadratic Forms and Their Applications: Proceedings of the Conference on Quadratic Forms and Their Applications July 5-9, 1999, University College Dublin (electronic edition, ca. 2000), ed. by Eva Bayer-Fluckiger, David Lewis, and Andrew Ranicki (PDF in the UK)
- A Computational Introduction to Number Theory and Algebra, by Victor Shoup (PDF with commentary at shoup.net)
- Integers: Electronic Journal of Combinatorial Number Theory (2000-) (full serial archives)
- The Theory of Algebraic Numbers (Carus Mathematical Monograph #9; c1950), by Harry Pollard (page images at HathiTrust)
- A Course in Algebraic Number Theory (c2003), by Robert B. Ash (PDF files at Wayback Machine)
- A Course in Algebraic Number Theory (c2003), by Robert B. Ash (PDF files at Wayback Machine)
- Structure of Algebras (American Mathematical Society Colloquium Publications v24, revised printing; 1961), by A. Adrian Albert (page images at HathiTrust; US access only)
- Model Theory, Algebra, and Geometry (2000), ed. by Deirdre Haskell, Anand Pillay, and Charles Steinhorn (PDF files with commentary at msri.org)
- Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF at arxiv.org)
- Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (2002), ed. by Christian U. Jensen, Arne Ledet, and Noriko Yui (PDF files with commentary at msri.org)
- Rings and Ideals (Carus Mathematical Monograph #8; c1948), by Neal Henry McCoy (page images at HathiTrust)
- Rings of Continuous Functions (Princeton, NJ et al.: Van Nostrand, 1960), by Leonard Gillman and Meyer Jerison (page images at HathiTrust)
- Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces (c1978), by Peter W. Michor (PDF in Austria)
- Elements of Quaternions, by Arthur Sherburne Hardy (page images at Cornell)
- Lectures on Quaternions, by William Rowan Hamilton (page images at Cornell)
- A Manual of Quaternions, by Charles Jasper Joly (page images at Cornell)
- The Outlines of Quaternions, by H. W. L. Hime (page images at Cornell)
- A Primer of Quaternions, by Arthur S. Hathaway
- Quaternions as the Result of Algebraic Operations, by Arthur Latham Baker (page images at Cornell)
- Utility of Quaternions in Physics, by Alex. McAulay (page images at Cornell)
- Vector Analysis and Quaternions, by Alexander Macfarlane (page images at Cornell)
- Vector and Tensor Analysis (New York: J. Wiley and Sons; London: Chapman and Hall, c1947), by Louis Brand (page images at HathiTrust)
- Bibliography of Quaternions and Allied Systems of Mathematics, by Alexander Macfarlane (page images at Cornell)
- Grassmann's Space Analysis, by E. W. Hyde (page images at Cornell)
- The Theory of Numbers, and Diophantine Analysis (originally published as two books in 1914 and 1915; combined reprint edition New York: Dover Publications, ca. 1959), by R. D. Carmichael (page images at HathiTrust)
- De Aequationibus Secundi Gradus Indeterminatis (dissertation in Latin; Berlin: C. Schultzii, ca. 1867), by Georg Cantor (page images at HathiTrust)
- Diophantine Analysis, by R. D. Carmichael (page images at HathiTrust)
- An Elementary Investigation of the Theory of Numbers, by Peter Barlow (page images at Cornell)
- Algebraic L-Theory and Topological Manifolds (electronic edition, 2011), by Andrew Ranicki (PDF in the UK)
- The Arithmetic Theory of Quadratic Forms (Carus Mathematical Monograph #10; c1950), by Burton W. Jones (page images at HathiTrust)
- Galois Groups and Fundamental Groups (2003), ed. by Leila Schneps (PDF files with commentary at msri.org)
- Galois Theory: Lectures Delivered at the University of Notre Dame (Notre Dame Mathematical Lectures #2; c1942), by Emil Artin, ed. by Arthur N. Milgram (PDF files at Project Euclid)
- Linear Groups, with an Exposition of the Galois Field Theory, by Leonard E. Dickson (page images at Cornell)
- Arithmétique Graphique: Introduction a l'Étude des Fonctions Arithmétiques (in French; Paris: Gauthier-Villars, 1906), by Gabriel Arnoux
- Magic Squares and Cubes (second edition), by W. S. Andrews, contrib. by Paul Carus, Lorraine Screven Frierson, and Charles Albert Browne (PDF at djm.cc)
- Mathematical Essays and Recreations, by Hermann Schubert, trans. by Thomas J. McCormack (page images at Cornell)
- Sur la Théorie des Équations Modulaires et la Résolution de l'Équation du Cinquième Degré (in French; Paris: Mallet-Bachelier, 1859), by Charles Hermite
- Sobre los Diferentes Sistemas de Numeracion y la Teoría de Numeros Primos: Lecciones Complementarias de Aritmética (in Spanish; Madrid: M. Minuesa, 1866), by Mateo Tuñón y Lara (page images at HathiTrust)
- Essays on the Combinatorial Analysis (London: The author, and Longman, Hurst, Rees, Orme, and Brown, 1818), by Peter Nicholson
- Mainly Natural Numbers: A Few Elementary Studies on Smarandache Sequences and Other Number Problems, by Henry Ibstedt (PDF at UNM)
- The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers (reprint of the 1917 second edition), by E. V. Huntington (PDF at djm.cc)
More items available under narrower terms.