Challenging problems in calculus
I'm looking for a textbook (or website etc.) which contains challenging problems in calculus. Problem in Real Analysis by Titu Andreescu is good, but slightly too advanced for me. Spivak's Calculus is very good, but I need more. Can anyone give me any references?
There is a problem book:
- Problems in Calculus of One Variable by I.A. Maron
You can always see the entrance question papers of the IIT - JEE exam. They do contain challenging calculus problems.
The Harvard-MIT Math Tournaments always feature some interesting calculus problems. Both problems and solutions from previous contests are archived.
If you haven't already considered it (it's a well-known classic), I suggest looking at
Introduction to Calculus and Analysis by Richard Courant and Fritz John.
http://www.amazon.com/dp/354065058X
I'll be dating myself with this answer, but I always found the miscellaneous problems at the end of some of the chapters of Thomas (3rd) to be a good source of challenges. I'd also consider looking in Apostol's Calculus.