Advanced Analysis: Some References

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. Free Online (pdf)
Kenneth Hoffman, Analysis in Euclidean space, Dover paperback (reprinted from the 1975 Prentice Hall edition); ISBN-10: 0486458040.
Free online (pdf)
Advanced Calculus by Loomis & Sternberg (pdf) [Free online]
Jerrold E. Marsden, Michael J. Hoffman, Elementary Classical Analysis, 2nd edition, W. H. Freeman, 1993 [our text this semester].
Walter Rudin, Principles of Mathematical Analysis, McGraw-Hill, 1976 (3rd Edition, ISBN:9780070542358. An electronic version seems to be available online for free.
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.
Free Online (djvu)
Robert S. Strichartz, The Ways of Analysis, Jones and Bartlett, 2000
My own: Some Calculus Problems, Some Analysis Problems Solving Equations (a survey article)