The Online Books Page

Numeration

Here are entered works on the theory and systems of numbering. Works on the psychology of numeration are entered under Number concept. Works on counting, including counting books, are entered under Counting.

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

• Number theory

• Binary system (Mathematics)
• Indian numeration

• Numeral system

• 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)

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

• 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
  • 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)

• 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)

• 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)

• 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
  • 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

• 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)

• 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 broader and related terms at left.