Advanced Analysis: Some References
Math 508-509, Advanced Analysis: Some References
- Walter Rudin, Principles of Mathematical Analysis,
McGraw-Hill, 1976.
- Andrew Gleason, Fundamentals of Abstract Analysis,
Addison-Wesley, Reading, MA, 1966.
- G. H. Hardy, A Course of Pure Mathematics, 10th edition,
Cambridge University Press, 1967. A classic -- at a slightly lower
level than this course.
-
Advanced Calculus by Loomis & Sternberg (pdf)
- Jerrold E. Marsden, Michael J. Hoffman, Elementary Classical
Analysis, 2nd edition, W. H. Freeman, 1993.
- G. Simmons, Introduction to Topology and Modern
Analysis, McGraw Hill, New York, 1963. Reprinted by Krieger
Publishing Company, 1725 Krieger Dr. Malabar FL USA 32950.
- Robert S. Strichartz, The Ways of Analysis, Jones and
Bartlett, 2000
- My own: Some Calculus
Problems, Some Analysis Problems