The Online Books Page

Functor theory

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

• Algebra, Homological
• Functional analysis
• Transformations (Mathematics)

• Categories (Mathematics)

• Functorial representation

• 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)

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

• 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)

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

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

• 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)

• Actual Causality (Cambridge, MA and London: MIT Press, c2016), by Joseph Y. Halpern (HTML at Cornell)
• Functional Analysis and Semi-Groups (New York: American Mathematical Society, 1948), by Einar Hille (multiple formats at archive.org)

• The Design of Approximation Algorithms (electronic prepublication edition, c2011), by David P. Williamson and David Bernard Shmoys (PDF files with commentary at designofapproxalgs.com)
• The Theory of Approximation (American Mathematical Society Colloquium Publications v11; 1930), by Dunham Jackson (page images at HathiTrust)

• Extrapolation, Interpolation, and Smoothing of Stationary Time Series, With Engineering Applications (second printing; Cambridge, MA: Technology Press of the Massachusetts Institute of Technology; London: J. Wiley and Sons, 1950), by Norbert Wiener (page images at HathiTrust)

• Calculations of the Penetration of Gamma Rays: Final Report (White Plains, NY: Nuclear Development Associates; Oak Ridge, TN: U.S. Atomic Energy Commission, 1954), by Herbert Goldstein and J. Ernest Wilkins (page images at HathiTrust)

• Transition Curves of 330 Mev Bremsstrahlung (Berkeley, CA: University of California Radiation Laboratory, 1950), by Wade Blocker, Robert W. Kenney, and Wolfgang K. H. Panofsky (page images at HathiTrust)

• A Course in Interpolation and Numerical Integration for the Mathematical Laboratory, by David Gibb (page images at Cornell)
• Extrapolation, Interpolation, and Smoothing of Stationary Time Series, With Engineering Applications (second printing; Cambridge, MA: Technology Press of the Massachusetts Institute of Technology; London: J. Wiley and Sons, 1950), by Norbert Wiener (page images at HathiTrust)

• A Course in Interpolation and Numerical Integration for the Mathematical Laboratory, by David Gibb (page images at Cornell)

• Homogeneous Boltzmann Equation in Quantum Relativistic Kinetic Theory (EJDE monograph #4, 2003), by Miguel Escobedo, Stéphane Mischler, and Manuel A. Valle (PDF with commentary at ams.org)

• Rings of Continuous Functions (Princeton, NJ et al.: Van Nostrand, 1960), by Leonard Gillman and Meyer Jerison (page images at HathiTrust)

• Holomorphic Spaces (1998), ed. by Sheldon Jay Axler, John E. McCarthy, and Donald Sarason (PDF files with commentary at msri.org)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)

• Spinors, Spectral Geometry, and Riemannian Submersions, by Peter B. Gilkey, John V. Leahy, and Jeonghyeong Park (Postscript files at emis.de)

• Linearization via the Lie Derivative (EJDE monograph #2, 2000), by Carmen Charles Chicone and Richard Swanson (PDF with commentary at ams.org)
• Elementary Divisors and Some Properties of the Lyapunov Mapping X to AX + XA* (Argonne, IL: Argonne National Laboratory, 1961), by Wallace Givens (page images at HathiTrust)

• Jacobi Operators and Completely Integrable Nonlinear Lattices, by Gerald Teschl (PDF and other formats in Austria)

• Operator Algebras and Quantum Statistical Mechanics, by Ola Bratteli and Derek W. Robinson
  • volume I: PDF in Norway
  • volume II: PDF in Norway

• Noncommutative Geometry, Quantum Fields and Motives (prepublication version, ca. 2008), by Alain Connes and Matilde Marcolli (PDF at alainconnes.org)
• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF and other formats at arxiv.org)

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)
• Chebyshev and Fourier Spectral Methods (second edition), by John P. Boyd (PDF with commentary at Citeseer)

• Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)

• Harmonic Analysis and the Theory of Probability (Berkeley and Los Angeles: University of California Press, 1955), by S. Bochner (page images at HathiTrust)
• Mathematical Dissertations, For the Use of Students in the Modern Analysis, by J. R. Young (page images at Cornell)
• A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of The Principal Transcendental Functions (second edition; Cambridge, UK: At the University Press, 1915), by E. T. Whittaker and G. N. Watson (multiple formats at archive.org)

• A Presentation of the Theory of Hermite's Form of Lamé's Equation, by J. Brace Chittenden (page images at Cornell)

• An Elementary Treatise on Spherical Harmonics and Subjects Connected With Them, by N. M. Ferrers (page images at Cornell)

• Grassmann's Space Analysis, by E. W. Hyde (page images at Cornell)

• Vector Calculus (electronic edition, 2013 or later), by Michael Corral (PDF with commentary at mecmath.net)

• 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
  • HTML and PDF at cnx.org
  • PDF and Epub at Open Textbook Library
• 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)

More items available under broader and related terms at left.