Free Books on Mathematical Analysis IX

Analysis

1. Homeomorphisms in Analysis by Casper Goffman, Togo Nishiura, and Daniel Waterman
   
2. Why the Boundary of a Round Drop Becomes a Curve of Order Four by A. N. Varchenko, and P. I. Etingof
   
3. Lectures on Entire Functions by B. Ya. Levin
   
4. Constructive Real Numbers and Constructive Function Spaces by N. A. Sanin
   
5. Complex Variables by W.P. Novinger, and Robert B. Ash
   
6. Foundations of Nonstandard Analysis by Erland Gadde
   
7. Analytic functions by Stanislaw Saks, and Antoni Zygmund
   
8. Theory of Functions of real variable by Shlomo Sternberg
   

Functional Analysis

1. Functional Analysis by Douglas N. Arnold
   
2. Functional Analysis by Paul Garrett
   
3. Functional Analysis by Thomas Ward
   
4. Functional Analysis and Semi-Groups by Einar Hille, and Ralph S. Phillips
   
5. The Convenient Setting of Global Analysis by Andreas Kriegl, and Peter W. Michor
   
6. Hilbert Space Methods for Partial Differential Equations by Ralph E. Showalter
   
7. Monotone Operators in Banach Space and Nonlinear Partial Differential Equations by Ralph E. Showalter
   
8. Harmonic Analysis and Partial Differential Equations by Björn E.J. Dahlberg, and Carlos E. Kenig
   
9. Functional Analysis by Thomas Ward
   
10. Harmonic Function Theory by Sheldon Axler, Paul Bourdon, and Wade Ramey
    
11. An Introduction to C*-Algebras by Pierre de la Harpe, and Vaughan Jones
    
12. Functional Analysis by Peter G. Dixon
    
13. Introduction to Microlocal Analysis by Richard Melrose
    
14. Bernoulli Periodic Functions by Miguel Lerma
    
15. Holomorphic Methods in Analysis and Mathematical Physics by Brian C. Hall
    

Differential Equations

1. Nonlinear Analysis and Ordinary Differential Equations by Klaus Schmitt
   
2. Ordinary Differential Equations and Dynamical Systems by Gerald Teschl
   
3. Ordinary Differential Equations by Sheldon Newhouse
   
4. Partial Differential Equations of Mathematical Physics by William W. Symes
   
5. Analytic differential equations by Yulij Ilyashenko, and Sergei Yakovenko
   
6. Exterior Differential Systems and Euler-Lagrange Partial Differential Equations by Robert L. Bryant, Phillip A. Griffiths, and Daniel A. Grossman
   
7. Monograph on quasilinear partial differential equations by Marco Squassina
   
8. Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations by Lloyd N. Trefethen