The Online Books Page

Modular functions

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

• Elliptic functions
• Group theory
• Number theory

• Functions, Modular

• 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

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

• An Elementary Treatise on Elliptic Functions, by Arthur Cayley (page images at Cornell)
• Elliptic Functions, by Arthur Latham Baker (page images at Cornell)
• Elliptic Integrals, by Harris Hancock (page images at Cornell)
• Lectures on the Theory of Elliptic Functions, by Harris Hancock (page images at Cornell)
• The Theory of Elliptic Integrals, and the Properties of Surfaces of the Second Order, Applied to the Investigation of the Motion of a Body Round a Fixed Point, by James Booth (page images at Cornell)
• A Tract on the Addition of Elliptic and Hyper-Elliptic Integrals, by Michael Roberts (page images at Cornell)
• A Treatise on Some New Geometrical Methods, by James Booth
  • volume 1: page images at Cornell
  • volume 2: 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
• 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)

• Abel's Theorem and the Allied Theory, Including the Theory of the Theta Functions, by H. F. Baker (page images at Cornell)

• Groups of Order p [superscript m] Which Contain Cyclic Subgrous of Order p [superscript m-3], by Lewis Irving Neikirk
  • page images at Cornell
  • Gutenberg PDF and LaTeX
• An Introduction to the Theory of Groups of Finite Order, by Harold Hilton (page images at Cornell)
• Linear Groups, with an Exposition of the Galois Field Theory, by Leonard E. Dickson (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
• 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)

• Noncommutative Localization in Algebra and Topology (electronic edition, ca. 2006), ed. by Andrew Ranicki (PDF in the UK)

• Groups, Geometry and Dynamics (partial serial archives)

• Theory and Applications of Categories (1995-) (full serial archives)

• Properties of The Thirty-Two Point Groups (Cambridge, MA: MIT Press, 1963), by George F. Koster, John O. Dimmock, Robert G. Wheeler, and Hermann Statz (page images at HathiTrust)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)
• Category Theory for the Sciences (Cambridge, MA, and London: MIT Press, c2014), by David I. Spivak (illustrated HTML with commentary at MIT Press)
• Category Theory for Computing Science (revised reprint from Theory and Applications of Categories, 2013), by Michael Barr and Charles Wells (PDF in Canada)
• 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)
• Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)
• Category Theory for Programmers (free online edition), by Bartosz Milewski, ed. by Igal Tabacnik (illustrated HTML and PDF with commentary at bartoszmilewski.com and Github)

• Algebraic L-Theory and Topological Manifolds (electronic edition, 2011), by Andrew Ranicki (PDF in the UK)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)

• Toposes, Triples, and Theories (version 1.1, reprinted in Theory and Applications of Categories, 2005), by Michael Barr and Charles Wells (PDF in Canada)

• Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups, by John Edward Campbell (page images at Cornell)
• Linear Transformations In Hilbert Space and Their Applications To Analysis (American Mathematical Society Colloquium Publications v15; 1932), by Marshall H. Stone (multiple formats at archive.org)

• Détermination des Invariants Ponctuels de l'Equation Differentielle Ordinaire du Second Ordre y'' = w(x,y,y') (in French, with some German front matter; Leipzig: S. Hirzel, 1896), by Arthur Tresse (page images at HathiTrust)

• Linear Transformations In Hilbert Space and Their Applications To Analysis (American Mathematical Society Colloquium Publications v15; 1932), by Marshall H. Stone (multiple formats at archive.org)
• Einleitung in die Theorie der Invarianten Linearer Transformationen auf Grund der Vektorenrechnung (only volume published; Braunschweig: F.. Vieweg und Sohn, 1923), by E. Study
  • multiple formats at archive.org; p. 257 partly obscured
  • page 257: multiple formats at archive.org
  • page images at HathiTrust; US access only
• Lectures on the Ikosahedron and the Solution of Equations of the Fifth Degree, by Felix Klein (page images at Cornell)

• Ends of Complexes (1996), by Bruce Hughes and Andrew Ranicki (PDF in the UK)
• A Treatise on the Line Complex, by C. M. Jessop (page images at Cornell)

• Fast Fourier Transforms (2012), ed. by C. S. Burrus (multiple formats at archive.org)
• Mathematics of the Discrete Fourier Transform (DFT), With Audio Applications (second edtion, c2007), by Julius O. Smith (illustrated HTML with commentary at dsprelated.com)
• Fourier Transforms in the Complex Domain (American Mathematical Society Colloquium Publications v19, 1934), by Raymond E. A. C. Paley and Norbert Wiener (multiple formats at archive.org)

• Galois Groups and Fundamental Groups (2003), ed. by Leila Schneps (PDF files with commentary at msri.org)

• 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)

• The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy (revised edition, c1966), by J. D. Williams (PDF with commentary at rand.org)
• Games of Strategy: Theory and Applications (1961), by Melvin Dresher (PDF with commentary at rand.org)

• Gauge Theory of Elementary Particle Physics (originally published 1984; corrected open access edition Oxford, UK: Clarendon Press, 2011), by Ta-Pei Cheng and Ling-Fong Li (PDF with commentary at OAPEN)
• Gauge Theory for Fiber Bundles (1991), by Peter W. Michor (PDF in Austria)
• Gauge Fields in Condensed Matter (1989), by Hagen Kleinert
  • volume 1: page images and PDF in Germany
  • volume 2: page images and PDF in Germany

• Lattice Theory (American Mathematical Society Colloquium Publications v25, revised edition; 1948), by Garrett Birkhoff (page images at HathiTrust)

More items available under broader and related terms at left.