Mathematical analysis -- FoundationsSee also what's at your library, or elsewhere.
Broader terms:Used for:- Foundations of mathematical analysis
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Filed under: Mathematical analysis -- Foundations
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Filed under: Mathematical analysis Basic Analysis: Introduction to Real Analysis (online edition, c2013), by Jiří Lebl (PDF with commentary at jirka.org) How We Got From There to Here: A Story of Real Analysis (Geneseo, NY: Open SUNY Textbooks, 2013), by Robert R. Rogers and Eugene Boman (multiple formats with commentary at milneopentextbooks.org) Introduction to Real Analysis (updated electronic edition, with supplements "Functions Defined by Improper Integrals" and "The Method of Lagrange Multipliers"; c2012), by William F. Trench (PDF and LaTeX files at trinity.edu) Real Analysis (second edition, 2008), by Brian S. Thomson, Judith B. Bruckner, and Andrew M. Bruckner (PDF at classicalrealanalysis.info) Mathematical Analysis I (electronic edition; West Lafayette, IN: Trillia Group, c2004), by Elias Zakon (PDF with commentary at trillia.com) A First Course in Complex Analysis (electronic edition, c2017), by Matthias Beck, Gerald Marchesi, Dennis Pixton, and Lucas Sabalka (PDF with commentary at sfsu.edu) Convex Analysis (Princeton: Princeton University Press, c1970), by R. Tyrrell Rockafellar (DjVu at Washington) Modern Multidimensional Calculus (Reading, MA, et al: Addison-Wesley Pub. Co., c1963), by M. Evans Munroe (page images at HathiTrust) Albert Michelson's Harmonic Analyzer: A Visual Tour of a Nineteenth Century Machine That Performs Fourier Analysis (2014), by Bill Hammack, Steve Kranz, and Bruce Carpenter (PDF with commentary at engineerguy.com) Algebra of Analysis (Notre Dame Mathematical Lectures #3; 1944), by Karl Menger (PDF files at Project Euclid) Introduction to Matrix Analysis (New York et al.: McGraw-Hill Book Co., 1960), by Richard Bellman (page images at HathiTrust) Check-List of American Magazines Printed in the Eighteenth Century (1889), by Paul Leicester Ford (page images at HathiTrust) 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) Elementary Real Analysis (second edition, 2008; with other downloadable math textbooks), by Brian S. Thomson, Judith B. Bruckner, and Andrew M. Bruckner (PDF at classicalrealanalysis.info) Cours d'Analyse de l'École Polytechnique ("premiere partie" only part published; in French; Paris: Gauthier-Villars, 1873), by Charles Hermite (page images at HathiTrust)
Filed under: Mathematical analysis -- History
Filed under: Mathematical analysis -- Periodicals
Filed under: Mathematical analysis -- Problems, exercises, etc.
Filed under: Mathematical analysis -- Textbooks
Filed under: Algebras, Linear 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)
Filed under: Calculus Elementary Calculus: An Infinitesimal Approach (electronic edition; last revised 2022), by H. Jerome Keisler (PDF files at Wisconsin) Community Calculus (various electronic editions, c2014), by David Guichard, contrib. by Neal Koblitz and H. Jerome Keisler (PDF and HTML files at whitman.edu) Active Calculus (electronic edition, c2013), by Matthew R. Boelkins, contrib. by David Austin and Steven Schlicker (PDF files with commentary at gvsu.edu) Calculus for the Life Sciences: A Modeling Approach (2 volumes, intended for different audiences; c2011-2013), by James L. Cornette and Ralph A. Ackerman (PDF files with commentary at Iowa States) Calculus I (electronic edition, c2007), by Paul Dawkins (illustrated HTML and PDF with commentary at lamar.edu) Calculus II (electronic edition, c2007), by Paul Dawkins (illustrated HTML and PDF with commentary at lamar.edu) Calculus III (electronic edition, c2007), by Paul Dawkins (illustrated HTML and PDF with commentary at lamar.edu) Calculus (c2002), by Kenneth E. Iverson (PDF at jsoftware.com) The Calculus of Functions of Several Variables (electronic edition, c2001), by Dan Sloughter (PDF files at synechism.org) Advanced Calculus (revised edition; Boston and London: Jones and Bartlett, c1990), by Lynn H. Loomis and Shlomo Sternberg (PDF at Harvard; 58 MB) Calculus I, II, and III (second edition, with student guides and errata corrections; 6 volumes originally published New York: Springer-Verlag, 1985), by Jerrold E. Marsden and Alan Weinstein, contrib. by Frederick H. Soon (PDF files at Caltech) An Introduction to Proofs and the Mathematical Vernacular (2015), by Martin V. Day (PDF with commentary at vt.edu) Student's Guide to Calculus by J. Marsden and A. Weinstein (3 volumes originally published New York: Springer-Verlag, 1985), by Frederick H. Soon, contrib. by Jerrold E. Marsden and Alan Weinstein Calculus Unlimited (c1981), by Jerrold E. Marsden and Alan Weinstein (PDF files at Caltech) Calculus (New York et al.: McGraw-Hill, c1963), by Lester R. Ford and L. R. Ford (page images at HathiTrust) Calculus and Analytic Geometry (2 volumes; Englewood Cliffs, NJ: Prentice-Hall, 1963), by Melcher P. Fobes and Ruth B. Smyth (page images at HathiTrust) Advanced Calculus (Princeton, NJ et al.: D. Van Nostrand Co., c1959), by H. K. Nickerson, D. C. Spencer, and Norman Earl Steenrod (page images at HathiTrust) Advanced Calculus (first edition; New York: Prentice-Hall, 1947), by D. V. Widder (page images at HathiTrust) Analytical Geometry and Calculus (Cambridge, MA: Addison-Wesley Press, 1942), by H. B. Phillips (page images at HathiTrust) Calculus (New York: Prentice-Hall, 1942), by G. E. F. Sherwood and Angus E. Taylor (page images at HathiTrust) Calculus for Practical Engineers in a Simple, Quick Engineering Way (Austin, TX: Steck Co., c1942), by Alois Cibulka (page images at HathiTrust; US access only) Analytic Geometry and Calculus (second edition; Boston: D. C. Heath and Co., 1963), by William L. Hart (page images at HathiTrust) Modern Multidimensional Calculus (Reading, MA, et al: Addison-Wesley Pub. Co., c1963), by M. Evans Munroe (page images at HathiTrust) Advanced Calculus, by Edwin Bidwell Wilson (page images at Cornell) Calculus (1991; with instructor's manual and study guide), by Gilbert Strang (PDF files at MIT) The Calculus for Engineers (London and New York: Edward Arnold, 1897), by John Perry (page images at Google) Calculus Made Easy: Being a Very-Simplest Introduction to Those Beautiful Methods Which are Generally Called by the Terrifying Names of the Differential Calculus and the Integral Calculus (second edition, enlarged; London: Macmillan and Co., 1914), by Silvanus P. Thompson (TeX and PDF at Gutenberg) Cours d'Analyse de l'École Polytechnique ("premiere partie" only part published; in French; Paris: Gauthier-Villars, 1873), by Charles Hermite (page images at HathiTrust) The Differential and Integral Calculus (London: R. Baldwin, ca. 1842), by Augustus De Morgan Differential and Integral Calculus, by Daniel A. Murray (page images at Cornell) Differential and Integral Calculus, by Virgil Snyder and John Irwin Hutchinson (page images at Cornell) Elementary Calculus: An Approach Using Infinitesimals (electronic edition; based on the 1986 print edition), by H. Jerome Kiesler (PDF files at Wisconsin) Elementary Illustrations of the Differential and Integral Calculus, by Augustus De Morgan (page images at Cornell) Elementary Textbook on the Calculus, by Virgil Snyder and John Irwin Hutchinson (page images at Cornell) Elements of the Differential and Integral Calculus (revised edition; Boston: Ginn and Co., c1911), by William Anthony Granville, ed. by Percey F. Smith (PDF at djm.cc) Introduction to Infinitesimal Analysis, by Oswald Veblen and N. J. Lennes (page images at Cornell) An Introduction to Mathematical Analysis (Boston et al.: Houghton Mifflin Co., c1921), by Frank Loxley Griffin An Introduction to the Differential and Integral Calculus (second edition, 1849), by James B. Thomson (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) Mathematical Dissertations, For the Use of Students in the Modern Analysis, by J. R. Young (page images at Cornell) The Principles of Analytical Calculation (Cambridge, UK: Printed at the University Press, 1803), by Robert Woodhouse (page images at HathiTrust) A Defence of Free-Thinking in Mathematics, by George Berkeley (in Ireland) An Elementary Treatise on Curves, Functions, and Forces, by Benjamin Peirce Vector Calculus (electronic edition, 2013 or later), by Michael Corral (PDF with commentary at mecmath.net)
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