4 ms·
As mentioned in another subthread, Pugh's Real Mathematical Analysis is great, and better motivated than baby Rudin. Wilf - Generatingfunctionology (CRC 3rd ed
by harshreality 13y ago
As mentioned in another subthread, Pugh's Real Mathematical Analysis is great, and better motivated than baby Rudin.
Wilf - Generatingfunctionology (CRC 3rd ed.; free 2nd ed. pdf[1])
Lovasz - Combinatorial Problems and Exercises (AMS Chelsea)
The classic probability book is Feller (2 vol), but it's absurdly priced. There's also Sidney Resnick's Probability Path and Adventures in Stochastic Processes. Grinstead & Snell - Introduction to Probability Theory is free[2], and there's also Chung's A Course in Probability Theory (Academic Press/Elsevier).
Dover publishes at least three good books on counterexamples and pathological cases: Counterexamples in {Analysis, Probability, Topology}
[1] http://www.math.upenn.edu/~wilf/DownldGF.html http://www.math.upenn.edu/~wilf/DownldGF.html
[2] http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html http://www.dartmouth.edu/~chance/teaching_aids/books_article...