What Are the Best Books for Learning Calculus Proofs?

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Discussion Overview

The discussion centers around recommendations for books that focus on learning calculus proofs, particularly for Calculus I and II. Participants are interested in texts that explain concepts like the epsilon-delta theorem and provide exercises for proving various calculus statements.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant inquires about good books that emphasize proofs in calculus, specifically mentioning the need for explanations of limit properties and exercises.
  • Some participants propose "Calculus" by Apostol as a suitable resource, noting it contains comprehensive material on the subject.
  • Others suggest "Calculus" by Spivak as another valuable option for learning calculus proofs.
  • Several participants express agreement with the recommendations of Apostol and Spivak, indicating a positive reception of these texts.

Areas of Agreement / Disagreement

Participants generally agree on the recommendations of Apostol and Spivak as good resources for learning calculus proofs, though no alternative views are presented.

jessjolt2
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Hey,

I know that questions about learning materials (like books) are supposed to be posted in the learning materials category but for some reason it is saying i cannot post there (it is saying i do not have privilieges/am trying to access administrative stuff?)...so i will just ask here

Does anyone know about any good books that focus on proofs in calculus (especially calc I and II..i haven't taken calc III yet)? Like explaining the limit properties using the epsilon-delta theorem, explaining why limit of sin x/x is 1 as x approaches 0, etc. Also would be great if the book had a bunch of exercises making you prove things.

Thanks!
 
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You should try calculus by Apostol. It contains everything you want, and even more.
Calculus by Spivak is also good.
 
i agree.
 
I also agree. I learned a huge amount from Spivak. Apostal is also very good.
 

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