The Online Books Page

Set theory

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

• Mathematics

• Logic, Symbolic and mathematical

• Set theory -- Congresses
• Set theory -- Juvenile literature
• Algebra, Abstract
• Algebra, Boolean
• Arithmetic
• Cardinal numbers
• Functions
• Lattice theory
• Metric spaces
• Point set theory
• Rough sets
• Topology
• Transfinite numbers

• Aggregates
• Classes (Mathematics)
• Ensembles (Mathematics)
• Mathematical sets
• Sets (Mathematics)
• Theory of sets

• Infinity and the Mind: The Science and Philosophy of the Infinite (online edition; c2019), by Rudy v. B. Rucker (illustrated HTML at rudyrucker.com)
• Programming in Martin-Löf's Type Theory: An Introduction (c1990), by Bengt Nordström, Kent Petersson, and Jan M. Smith (PDF and Postscript in Sweden)
• 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)
• Sets, Relations, Functions, by Ivo Düntsch and Günther Gediga (PDF with commentary at Brock)

• Algebraic and Geometric Topology (proceedings of a 1983 conference at Rutgers; published 1984), ed. by Andrew Ranicki, N. Levitt, and F. Quinn (PDF and DjVu files in the UK)
• Noncommutative Localization in Algebra and Topology (electronic edition, ca. 2006), ed. by Andrew Ranicki (PDF in the UK)

• Algebraic and Geometric Topology (proceedings of a 1983 conference at Rutgers; published 1984), ed. by Andrew Ranicki, N. Levitt, and F. Quinn (PDF and DjVu files in the UK)

• Exotic Homology Manifolds, Oberwolfach 2003 (prepublication version, ca. 2006), ed. by F. Quinn and Andrew Ranicki (PDF in the UK)

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

• Exotic Homology Manifolds, Oberwolfach 2003 (prepublication version, ca. 2006), ed. by F. Quinn and Andrew Ranicki (PDF in the UK)

• 1-2-3 Picture Book (New York: Platt and Munk, 1939) (page images with translations at childrensbooksonline.org)
• Waldo, One, Two, Three, by Hans Wilhelm (PDF at Wayback Machine)
• Ten Little Bunnies, by Nurit Karlin, illust. by Hans Wilhelm (PDF at Wayback Machine)

• Abstract Algebra: Theory and Applications (originally published 1994; latest annual edition c2014), by Thomas W. Judson (PDF with commentary at ups.edu)
• Diakoptics: Piecewise Solution of Large-Scale Systems (21 chapters in 3 volumes; 1957-1958), by Gabriel Kron (page images at HathiTrust)
• Elements of Abstract and Linear Algebra, by Edwin H. Connell (PDF and Postscript at Miami)
• Rings and Ideals (Carus Mathematical Monograph #8; c1948), by Neal Henry McCoy (page images at HathiTrust)

• Abstract Algebra: The Basic Graduate Year (electronic edition, 2002), by Robert B. Ash (PDF files at Wayback Machine)

• Abstract Algebra: The Basic Graduate Year (electronic edition, 2002), 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)

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

• Optimization Algorithms on Matrix Manifolds (2008), by P.-A. Absil, R. Mahony, and R. Sepulchre (PDF files with commentary at Princeton)
• Basic Theorems in Matrix Theory (National Bureau of Standards Applied Mathematics Series #57; Washington: GPO, 1960), by Marvin Marcus (page images at HathiTrust)
• Lectures on Matrices (American Mathematical Society Colloquium Publications v17, c1934, reprinted 1960), by J. H. M. Wedderburn (page images at HathiTrust)
• The Theory of Matrices (corrected reprint of first edition; New York: Chelsea, ca. 1946), by Cyrus Colton MacDuffee (page images at HathiTrust)
• Diakoptics: Piecewise Solution of Large-Scale Systems (21 chapters in 3 volumes; 1957-1958), by Gabriel Kron (page images at HathiTrust)
• 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)

• Mathematics and Computation: A Theory Revolutionizing Technology and Science (prepublication version, c2019), by Avi Wigderson (PDF with commentary at ias.edu)
• The Complexity of Boolean Functions (electronic edition), by Ingo Wegener (PDF with commentary at Trier)

• Introduction to Mathematics (Reading, MA and London: Addison-Wesley Pub. Co., 1961), by Charles Francis Brumfiel, Robert E. Eicholz, and Merrill Shanks (page images at HathiTrust)
• American Arithmetic, Grade 5 (teacher's edition; New York et al.: American Book Co., c1957), by Clifford B. Upton and Kenneth G. Fuller (page images at HathiTrust; US access only)
• Business Arithmetic (c1914), by C. M. Bookman (PDF at djm.cc)

• Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables (10th printing, with corrections, 1972), ed. by Milton Abramowitz and Irene A. Stegun (page images at sfu.ca)
• Theory of Functions (New York: King's Crown Press, 1946), by Joseph Fels Ritt (page images at HathiTrust)
• Functions of a Complex Variable, by Thomas Scott Fiske (page images at Cornell)
• Functions of a Complex Variable, by E. J. Townsend (page images at Cornell)
• Introduction to a Form of General Analysis (New Haven: Yale University Press, 1910), by Eliakim Hastings Moore, E. J. Wilczynski, and Max Mason (page images at HathiTrust)
• Introduction to the Theory of Analytic Functions, by James Harkness and Frank Morley (page images at Cornell)
• A Treatise on the Theory of Functions, by James Harkness and Frank Morley (frame and JavaScript-dependent page images at Cornell)
• Interpolation and Approximation by Rational Functions in the Complex Domain (American Mathematical Society Colloquium Publications v20, second edition; 1956), by J. L. Walsh (page images at HathiTrust)
• Introduction to Infinitesimal Analysis, by Oswald Veblen and N. J. Lennes (page images at Cornell)
• An Introduction to the Study of the Elements of the Differential and Integral Calculus, by Axel Harnack, trans. by George L. Cathcart (page images at Cornell)
• Sets, Relations, Functions, by Ivo Düntsch and Günther Gediga (PDF with commentary at Brock)
• 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)

• Real Variables With Basic Metric Space Topology (originally published 1993; this version c2007), by Robert B. Ash (PDF files at Wayback Machine)

• Foundations of Point Set Theory (American Mathematical Society Colloquium Publications v13; 1932), by R. L. Moore (page images at HathiTrust)

• Rough Set Data Analysis: A Road to Non-Invasive Knowledge Discovery, by Ivo Düntsch and Günther Gediga (PDF with commentary at Brock)

• Geometric Topology: Localization, Periodicity and Galois Symmetry (The 1970 MIT Notes) (electronic edition, ca. 2005), by Dennis Sullivan, ed. by Andrew Ranicki (PDF in the UK)
• Open Problems in Topology (1990), ed. by J. van Mill and George M. Reed (PDF at Elsevier)
• Functional Analysis and Semi-Groups (New York: American Mathematical Society, 1948), by Einar Hille (multiple formats at archive.org)
• Algebraic Topology (American Mathematical Society Colloquium Publications v27; c1942), by Solomon Lefschetz (page images at HathiTrust)
• Analytic Topology (American Mathematical Society Colloquium Publications v28; 1942), by Gordon Thomas Whyburn (page images at HathiTrust)
• Topology (American Mathematical Society Colloquium Publications v12; 1930), by Solomon Lefschetz (page images at HathiTrust)

More items available under narrower terms.