Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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?

share|improve this question
3  
Related: math.stackexchange.com/questions/9958/… –  Jesse Madnick Nov 4 '11 at 9:52
    
In this question the poster also asked about challenging exercises in calculus. –  Martin Sleziak Nov 4 '11 at 14:54
1  
Spivak's text must have more than 1000 problems, most of which are indeed challenging. You say you like these problems but "need more". Could you explain why you need more than 1000 problems? –  Pete L. Clark Nov 4 '11 at 17:13
add comment

5 Answers

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.

share|improve this answer
add comment

The Harvard-MIT Math Tournaments always feature some interesting calculus problems. Both problems and solutions from previous contests are archived.

share|improve this answer
add comment

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

share|improve this answer
add comment

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.

share|improve this answer
add comment

The Art of Problem Solving has textbooks for middle school through calculus. The description for the calculus book includes:

The book includes hundreds of problems, ranging from routine exercises to extremely challenging problems drawn from major mathematics competitions such as the Putnam Competition and the Harvard-MIT Math Tournament. Many of the problems have full, detailed solutions in the text, and the rest have full solutions in the accompanying Solutions Manual.

It's relatively inexpensive and you can get a full solutions manual, which is also relatively inexpensive. This is a full textbook for single variable calculus.

http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus

The point of these Art of Problem Solving books is that you learn problem solving and not just the basic rules/techniques.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.