Axioms
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Introduction to Mathematical Analysis (c2015), by Beatriz Lafferriere, Gerardo Lafferriere, and Nguyen Mau Nam (PDF at pdx.edu)
Items below (if any) are from related and broader terms.
Filed under: Geometry -- Foundations- An Essay on the Foundations of Geometry (Cambridge: At the University Press, 1897), by Bertrand Russell (multiple formats at Google; US access only)
- The Foundations of Mathematics: A Contribution to the Philosophy of Geometry, by Paul Carus (page images at Cornell)
- The Fourth Dimension: Toward a Geometry of Higher Reality (free online edition, c2014), by Rudy v. B. Rucker, contrib. by Martin Gardner (illustrated HTML at rudyrucker.com)
- 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)
- Mathematical Essays and Recreations, by Hermann Schubert, trans. by Thomas J. McCormack (page images at Cornell)
- Side-Lights on Astronomy and Kindred Fields of Popular Science: Essays and Addresses, by Simon Newcomb (Gutenberg text)
- Linear Algebra (first edition; 2013), by David Cherney, Tom Denton, and Andrew Waldron, ed. by Rohit Thomas (PDF with commentary at UC Davis)
- Elementary Linear Algebra (online CC-BY edition, 2012), by Kenneth Kuttler
- Elementary Linear Algebra (second online edition, 1998), by Keith Robert Matthews (PDF files with commentary at numbertheory.org)
- A First Course in Linear Algebra (electronic edition), by Robert A. Beezer (HTML and PDF with commentary at linear.ups.edu)
- Modern Multidimensional Calculus (Reading, MA, et al: Addison-Wesley Pub. Co., c1963), by M. Evans Munroe (page images at HathiTrust)
- Elements of Abstract and Linear Algebra, by Edwin H. Connell (PDF and Postscript at Miami)
- 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)
- The Electronic Journal of Linear Algebra (1996-) (full serial archives)
- Linear Algebra (third edition, 2017), by Jim Hefferon (PDF with commentary at smcvt.edu)
- 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)
- The Octonions (prepublication version, 2001, with links to related materials), by John C. Baez (illustrated HTML at ucr.edu)
- Homogeneous Linear Substitutions, by Harold Hilton (page images at Cornell)
- Determinants, by Laenas Gifford Weld (page images at Cornell)
- A Short Course in the Theory of Determinants, by Laenas Gifford Weld (page images at Cornell)
- 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)
- Operator Algebras and Quantum Statistical Mechanics, by Ola Bratteli and Derek W. Robinson
- 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)
- Banach Modules and Functors on Categories of Banach Spaces (c1979), by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)
- 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)
- The Contraction Mapping Principle and Some Applications (EJDE monograph #9, 2009), by R. M. Brooks and Klaus Schmitt (PDF with commentary at ams.org)
- Periodic Solutions for Evolution Equations (EJDE monograph #3, 2002), by Mihai Bostan (PDF with commentary at ams.org)
- Hilbert Space Methods for Partial Differential Equations, by R. E. Showalter (PDF files at ams.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)
- Comparison Geometry (1997), ed. by Karsten Grove and Peter Petersen (PDF files with commentary at msri.org)
- Thèses Presentées a la Faculté des Sciences de Paris, Pour Obtenier le Grade de Docteur ès Sciences Mathématiques: Sur le Cercle Considéré Comme Élément Générateur de L'espace; Propositions Données par la Faculté (dissertation in French; Paris: Gauthier-Villars et fils, 1889), by E. Cosserat (Javascript-dependent page images in France)
- Real Variables With Basic Metric Space Topology (originally published 1993; this version c2007), by Robert B. Ash (PDF files at Wayback Machine)
- The Essence of Mathematics Through Elementary Problems (Cambridge, UK: Open Book Publishers, c2019), by Alexandre Borovik and A. Gardiner (multiple formats with commentary at Open Book Publishers)
- Six Septembers: Mathematics for the Humanist (Lincoln, NE: Zea Books, 2017), by Patrick Juola and Stephen Ramsay (PDF with commentary at unl.edu)
- An Introduction to Proofs and the Mathematical Vernacular (2015), by Martin V. Day (PDF with commentary at vt.edu)
- Math in Society (Creative Commons edition, c2013), by David Lippmann (PDF, Word, and video files at opentextbookstore.com)
- Acta Academiae Aboensis B: Mathematica et Physica (partial serial archives)
- Exploring Math (c2002), by Kenneth E. Iverson (PDF at jsoftware.com)
- Basic Concepts of Mathematics (electronic edition; West Lafayette, IN: Trillia Group, c2001), by Elias Zakon (PDF with commentary at trillia.com)
- Discrete Mathematics: An Open Introduction (third edition, 2020), by Oscar Levin (illustrated HTML and PDF with commentary at openmathbooks.org)
- Mathematical Tools for Physics (electronic edition, 2004), by James C. Nearing (PDF with commentary at Miami)
- Mathematical Methods in Physics and Engineering (first edition; New York et al.: McGraw-Hill Book Co., 1962), by John W. Dettman (page images at HathiTrust)
- Mathematics for the Physical Sciences (c1962), by Herbert S. Wilf (PDF with commentary here at Penn)
- Mathematics as a Culture Clue, and Other Essays (Collected Works v1; New York: Scripta Mathematica, Yeshiva Univ., 1947), by Cassius Jackson Keyser (page images at HathiTrust)
- Practical Mathematics for Shipfitters and Other Shipyard Workers (New York and Chicago: Pitman Pub. Corp., c1941), by Louis Quentin Moss (page images at HathiTrust)
- A Mathematician's Apology (1940), by G. H. Hardy (PDF in Canada; NO US ACCESS)
- The Mathematics of Novelty: Badiou's Minimalist Metaphysics (2008), by Sam Gillespie (PDF with commentary at re-press.org)
- Edinai͡a Matematika (Russian translation of Unified Mathematics; Moscow and St. Petersburg: Gosudarstvennoe Izdatel'stvo, 1926), by Louis Charles Karpinski, Harry Y. Benedict, and J. W. Calhoun, trans. by D. A. Kryzhanovskii (page images at HathiTrust; US access only)
- Elementary Practical Mathematics: With Numerous Exercises for the Use of Students and Especially of Mechanical and Electrical Engineering Students (London, Macmillan and Co., 1913), by John Perry (multiple formats at archive.org)
- The Evanston Colloquium, by Felix Klein (page images at Cornell)
- In Memoriam Dominici Chelini: Collectanea Mathematica (collection in various languages; Milan et al.: U. Hoepli, 1881), ed. by Luigi Cremona and Eugenio Beltrami
- Introduction to Finite Mathematics (second and third published editions, with an electronic fourth edition in preparation), by John G. Kemeny, J. Laurie Snell, and Gerald Luther Thompson (PDF files at Dartmouth)
- An Introduction to Mathematics, by Alfred North Whitehead (Gutenberg LaTeX and PDF)
- Leçons d'Algèbre et d'Analyse, à l'Usage des Élèves des Classes de Mathématiques Spéciales (2 volumes in French; Paris: Gauthier-Villars, 1906), by Jules Tannery
- Lectures on Elementary Mathematics, by J. L. Lagrange (page images at Cornell)
- Mathematics for Students of Agriculture (New York: Macmillan, c1921), by Samuel Eugene Rasor (page images at HathiTrust)
- Practical Foundations of Mathematics, by Paul Taylor (HTML with commentary at paultaylor.eu)
- Principia Mathematica (Cambridge: Cambridge University Press, 1910-1913), by Alfred North Whitehead and Bertrand Russell
- Selected works and commentary, by William Rowan Hamilton (multiple formats in Ireland)
- Unified Mathematics (Boston et al.: D. C. Heath and Co., c1918), by Louis Charles Karpinski, Harry Y. Benedict, and J. W. Calhoun
- Unified Mathematics (revised edition; Boston et al.: D. C. Heath and Co., c1922), by Louis Charles Karpinski, Harry Y. Benedict, and J. W. Calhoun
- Audels Machinists and Tool Makers Handy Book (New York: T. Audel and Co., c1941), by Frank Duncan Graham (page images at HathiTrust; US access only)
- Catalogo di Manoscritti ora Posseduti da D. Baldassare Boncompagni (second edition, in Italian; Rome: Tip. delle Scienze Matematiche e Fisiche, 1892), by Enrico Narducci, contrib. by Baldassarre Boncompagni
- The Collected Mathematical Works of George William Hill, by George William Hill
- Mysticism and Logic, and Other Essays (reprint of the 1917 edition), by Bertrand Russell (Gutenberg text and page images)
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