The Online Books Page

Transformations (Mathematics)

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

• Algorithms
• Differential invariants
• Geometry, Differential

• Complexes
• Ergodic theory
• Fourier transformations
• Functor theory
• Laplace transformation
• Lattice theory
• Mappings (Mathematics)
• Spectral theory (Mathematics)
• Transformation groups

• Transformation (function)

• 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)

• The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds (ca. 1996), ed. by Andrew Ranicki (PDF in the UK)

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

• Entropy and Information Theory (electronic edition, 2000), by Robert M. Gray (PDF at Stanford)

• 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)

• 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)

• 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)

• Fundamentals of the Laplace Transformation (New York et al.: McGraw-Hill Book Co., c1962), by C. J. Savant, contrib. by Ezra C. Levy (page images at HathiTrust)

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

• Theory of Lattice Dynamics in the Harmonic Approximation (New York and London: Academic Press, 1963), by Alexei A. Maradudin, E. W. Montroll, and George H. Weiss (page images at HathiTrust)

• Theory of Lattice Dynamics in the Harmonic Approximation (New York and London: Academic Press, 1963), by Alexei A. Maradudin, E. W. Montroll, and George H. Weiss (page images at HathiTrust)

• The Contraction Mapping Principle and Some Applications (EJDE monograph #9, 2009), by R. M. Brooks and Klaus Schmitt (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)

• Manifolds of Differentiable Mappings (c1980), by Peter W. Michor (PDF in Austria)

• Elementary Catastrophe Theory (1985), by Peter W. Michor (PDF in Austria)

• Cusps of Gauss Mappings, by Thomas Banchoff, Terence Gaffney, and Clint McCrory (illustrated HTML in Germany)

• 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)

• Journal of Spectral Theory (partial serial archives)

• Groups, Geometry and Dynamics (partial serial archives)

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

• Algorithms for Optimization (Cambridge, MA and London: MIT Press, c2019), by Mykel J. Kochenderfer and Tim A. Wheeler (PDF with commentary at algorithmsbook.com)
• Clever Algorithms: Nature-Inspired Programming Recipes (c2011), by Jason Brownlee
  • PDF at Github
  • PDF with commentary at Github
• Algorithms for Decision Making (Cambridge, MA and London: MIT Press, c2022), by Mykel J. Kochenderfer, Tim A. Wheeler, and Kyle H. Wray (PDF with commentary at algorithmsbook.com)
• Planning Algorithms (free online edition, c2006), by Steven Michael LaValle (illustrated HTML and PDF files with commentary at lavalle.pl)
• Probability and Algorithms (1992), by National Research Council Committee on Applied and Theoretical Statistics (page images with commentary at NAP)
• Elements of Robotics (Cham: Springer Open, c2018), by M. Ben-Ari and Francesco Mondada (PDF and EPub with commentary at EPFL and Springer)
• Optimization Algorithms on Matrix Manifolds (2008), by P.-A. Absil, R. Mahony, and R. Sepulchre (PDF files with commentary at Princeton)
• The Earliest Arithmetics in English (EETS extra series #118; London et al.: Pub. for the Early English Text Society, by H. Milford, Oxford University Press, 1922), ed. by Robert Steele, contrib. by Alexander de Villa Dei, Joannes de Sacro Bosco, and Robert Recorde (Gutenberg text)

• Algorithms for Optimization (Cambridge, MA and London: MIT Press, c2019), by Mykel J. Kochenderfer and Tim A. Wheeler (PDF with commentary at algorithmsbook.com)

• Live Coding: A User's Manual (Cambrige, MA and London: MIT Press, c2022), by Alan F. Blackwell, Emma Cocker, Geoff Cox, Alex McLean, and Thor Magnusson (multiple formats with commentary at toplap.org)

• The Everyday Life of an Algorithm (Cham: Palgrave Macmillan, c2019), by Daniel Neyland (PDF with commentary at OAPEN)

• Boosting: Foundations and Algorithms (Cambridge, MA and London: MIT Press, c2012), by Robert E. Schapire and Yoav Freund (HTML with commentary at MIT Press)

• Matters Computational: Ideas, Algorithms, Source Code (prepublication version, 2011), by Jörg Arndt (PDF and other formats at jjj.de)
• Elements of Programming (authors' edition; 2019), by Alexander A. Stepanov and Paul McJones (PDF files with commentary at elementsofprogramming.com)
• Foundations of Machine Learning (second edition; Cambridge, MA and London: MIT Press, c2018), by Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar (HTML at ublish.com)
• Machine Learning (main text c1997; additional chapters c2017), by Tom M. Mitchell (PDF with commentary at CMU)
• Open Data Structures (multiple editions; c2013), by Pat Morin
  • Java and C++ editions; PDF files with commentary at opendatastructures.org
  • AU Press edition; PDF with commentary at AU Press
• Clever Algorithms: Nature-Inspired Programming Recipes (c2011), by Jason Brownlee
  • PDF at Github
  • PDF with commentary at Github
• Algorithms and Data Structures (based on the 1985 edition; updated for Oberon in 2004), by Niklaus Wirth (PDF in Switzerland)
• Text Algorithms (electronic edition, 1997), by Maxime Crochemore and Wojciech Rytter (PDF in France)
• Algorithms and Complexity (first edition, 1994), by Herbert S. Wilf (PDF with commentary here at Penn)
• Information, Randomness and Incompleteness (second edition, 1990), by Gregory J. Chaitin (Postscript at Maine)
• Lecture Notes on Bucket Algorithms (1986), by Luc Devroye (PDF at devroye.org)
• Programming Computer Vision with Python (prepublication draft, 2012), by Jan Erik Solem (PDF with commentary at programmingconputervision.com)
• Computer Vision: Algorithms and Applications (prepublication draft, c2010), by Richard Szeliski (PDF with commentary at szeliski.org)
• Combinatorial Algorithms for Computers and Calculators (second edition, c1978), by Albert Nijenhuis and Herbert S. Wilf (PDF with commentary here at Penn)
• Introduction to Data Science: Data Analysis and Prediction Algorithms With R (Creative Commons online edition, 2021), by Rafael A. Irizarry (illustrated HTML with commentary at github.uio)
• Data Structures and Algorithms With Object-Oriented Design Patterns in Java (online version, with links to versions for other languages; c1999), by Bruno R. Preiss (frame-dependent HTML at Wayback Machine)
• Elements of Causal Inference: Foundations and Learning Algorithms (Cambridge, MA and London: MIT Press, c2017), by Jonas Peters, Dominik Janzing, and Bernhard Schölkopf (PDF with commentary at MIT Press)
• Data Structures and Algorithms With Object-Oriented Design Patterns in C++ (online version, with links to versions for other languages; c1999), by Bruno R. Preiss (frame-dependent HTML at Wayback Machine)

More items available under broader and related terms at left.