## Free textbooks in Analysis

- A First Course in Complex Analysis by Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka
- An Introduction to Real Analysis by John K Hunter
- Riemann Surfaces and Nonlinear Equations (1) by Prof. Victor Palamodov
- 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
- 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
- Topics in Real and Functional Analysis by Gerald Teschl
- Paul Garrett's lecture notes
- Functional Analysis (3rd year) lecture notes by Thomas Ward
- Functional Analysis and Semi-Groups by Einar Hille and R. S. Phillips, AMS 1957, 808 pp
- 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 - Björn E.J. Dahlberg and Carlos E. Kenig
- Functional Analysis by Thomas Ward
- 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
- Introduction to Microlocal Analysis by Richard Melrose