Best undergraduate calculus book? [closed]

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I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses. Is there a better book than Spivak or Apostol ? Which one do you think is the best ?

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3 Answers

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Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.

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If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.

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Calculus, 7th Edition by James Stewart the "one and only" classics

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