The Online Books Page

Diophantine analysis

See also what's at Wikipedia, your library, or elsewhere.

• Number theory

• Forms, Quadratic

• Indeterminate analysis

• 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)

Items below (if any) are from related and broader terms.

• 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)

• 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)

• 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)
• 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
  • Volume 1: multiple formats at archive.org
  • Volume 2: multiple formats at Google
  • Volume 2: multiple formats at archive.org
  • Volume 3: multiple formats at archive.org
• 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
  • multiple formats at archive.org
  • page images at HathiTrust
• 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)

• 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 and other formats at arxiv.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)

• 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
  • Gutenberg PDF and zipped LaTeX
  • page images at Cornell
• 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)

• 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
  • multiple formats at Google; US access only
  • multiple formats at archive.org
  • page images at HathiTrust; US access only
• 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
  • multiple formats at Google
  • multiple formats at archive.org
  • page images at HathiTrust

• 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)

• Sequential Decoding (research monograph #10; Cambridge, MA: MIT Press, c1961), by John M. Wozencraft and Barney Reiffen (page images at HathiTrust)

• On Numerals in Indian Languages and the Indian Mode of Counting, by J. Hammond Trumbull (multiple formats at archive.org)

• Essays on the Combinatorial Analysis (London: The author, and Longman, Hurst, Rees, Orme, and Brown, 1818), by Peter Nicholson
  • multiple formats at Google
  • page images at HathiTrust

• Researches on Waring's Problem (Carnegie Institution of Washington publication #464; 1935), by Leonard E. Dickson (page images at HathiTrust)

• Algorithmic Information Theory (based on the third printing, 1990), by Gregory J. Chaitin (PDF at Maine)
• Information-Theoretic Incompleteness, by Gregory J. Chaitin (Postscript at Maine)
• The Unknowable, by Gregory J. Chaitin (illustrated HTML at Maine)

• Mainly Natural Numbers: A Few Elementary Studies on Smarandache Sequences and Other Number Problems, by Henry Ibstedt (PDF at UNM)

More items available under broader and related terms at left.