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Online Math: Analysis
Alexandre Stefanov has long maintained a list of
online math texts and other materials at Geocities; this material
has now been moved to 110MB Hosting. Because these resources may be of interest to our readers,
we present here a modified version of Stefanov's list as of November 18, 2009.
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Topics include the following:
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Classical Analysis
- Homeomorphisms in Analysis, by Casper Goffman, Togo Nishiura, and Daniel Waterman
- Why the Boundary of a Round Drop Becomes a Curve of Order Four, by A. N. Varchenko and P. I. Etingof
- Lectures on Entire Functions, by B. Ya. Levin
- Constructive Real Numbers and Constructive Function Spaces, by N. A. Sanin
- Complex Variables, by Robert B. Ash and W.P. Novinger
- Foundations of Nonstandard Analysis, by Erland Gadde
- Analytic functions, by Stanislaw Saks, Antoni Zygmund
- Theory of Functions of real variable, by Shlomo Sternberg
Functional Analysis
- Functional Analysis, by Douglas N. Arnold
- Paul Garrett's lecture notes
- Functional Analysis (3rd year) lecture notes, by Thomas Ward
- Functional Analysis and Semi-Groups, by Einar Hille
- The Convenient Setting of Global Analysis, by Andreas Kriegl and Peter W. Michor, AMS 1997, 618pp
- Hilbert Space Methods for Partial Differential Equations, by R.E. Showalter
- Monotone Operators in Banach Space and Nonlinear Partial Differential Equations, by R. E. Showalter
- Harmonic Analysis and Partial Differential Equations, by Björn E.J. Dahlberg and Carlos E. Kenig
- Harmonic Function Theory, by Sheldon Axler, Paul Bourdon, and Wade Ramey (printing disabled)
- An Introduction to C*-Algebras, by Pierre de la Harpe and Vaughan Jones
- Functional Analysis, by Dr. P. G. Dixon
- Introduction to Microlocal Analysis, by Richard Melrose
- Bernoulli Periodic distributions, Notes by Miguel Lerma
- Holomorphic Methods in Analysis and Mathematical Physics, by Brian C. Hall
Differential Equations
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