What are some books for learning the techniques of Calculus?

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Discussion Overview

The discussion revolves around recommendations for books that focus on techniques for solving calculus problems, rather than just concepts. Participants express interest in specific techniques such as differentiation under the integral sign and L'Hôpital's rule, while seeking resources that enhance problem-solving skills in calculus.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant lists several well-known calculus texts, noting their strengths in teaching concepts and standard techniques, while seeking recommendations for books that focus more on problem-solving techniques.
  • Another participant mentions that Strang's calculus text includes L'Hôpital's rule and references to more advanced literature, sharing their positive experience with it.
  • A suggestion is made to explore the work of Prof. Terrence Tao, highlighting his ability to make complex material accessible, although one participant notes that his book is relatively short and asks for additional recommendations.
  • A later reply points out a resource listing multiple books, suggesting that one of them has a particularly good exposition of logic.

Areas of Agreement / Disagreement

Participants express varying opinions on which books are most effective for learning calculus techniques, indicating that multiple competing views remain without a consensus on a single recommendation.

Contextual Notes

Some participants reference their personal experiences with specific texts, which may not generalize to all readers. The discussion does not resolve which book is definitively best for learning problem-solving techniques in calculus.

Who May Find This Useful

Readers interested in enhancing their calculus problem-solving skills, particularly those looking for resources that emphasize techniques over concepts.

Adesh
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We have so many great books available for Calculus, such as : Spivak's Calculus, Stewart Calculus, Thomas Calculus , Gilbert Strang's Calculus, Apostol's Calculus etc.
These books are very nice but they teach you the concepts well and all the standard techniques that are available for solving the Calculus problems. What I'm looking for is a book which focuses on some techniques for solving the problems, by this I mean techniques like those differentiation under integral sign (Feynman's Technique) (I want to add a little side note over here, somewhere I read that Feynman said that he got a book on calculus which taught that technique of differentiation under integral sign but his Professor never taught that technique and hence he was better at integration than his class fellows). One more technique which I can mention is L'Hopital's rule.
So, which book should I go for if I want to learn the kinds of techniques which I have mentioned above and of course many others assuming that my concepts are clear (I can say my concepts are clear only for academics otherwise there lies a whole philosophy of calculus to read about).
Thank you.
 
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My first calculus text was Strang's, and it included L'Hopital's Rule. It also included numerous bibliographic references to more advanced literature. And the math professor was a physicist. :cool:
 
sysprog said:
My first calculus text was Strang's, and it included L'Hopital's Rule. It also included numerous bibliographic references to more advanced literature. And the math professor was a physicist. :cool:
What’s your personal recommendation from those references listed there?
 
Click on the 'Books' link -- 17 books are listed there -- I liked the logic exposition in #10.
 

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