What is the best book for studying calculus as a beginner?

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Discussion Overview

The discussion revolves around recommendations for beginner calculus textbooks. Participants share their experiences and preferences regarding specific books, including Spivak, James Stewart, and Apostol, while considering the depth of content and teaching style.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant seeks recommendations for calculus books, mentioning familiarity with functions, limits, and derivatives, and a desire to study integration.
  • Another participant endorses Stewart's "early transcendentals" as a good resource.
  • Some participants suggest a hierarchy of depth in the books, proposing that Stewart is more accessible, while Spivak and Apostol are considered deeper or more rigorous.
  • A participant expresses a preference for Spivak over Stewart, although they acknowledge limited experience with Apostol.
  • One participant notes that Apostol's approach is unconventional, introducing integration before limits and differentiation, which may not suit everyone's learning style.

Areas of Agreement / Disagreement

Participants express differing opinions on which textbook is best for beginners, indicating that multiple competing views remain regarding the suitability of each book based on the depth of content and teaching style.

Contextual Notes

Some participants emphasize the importance of personal learning preferences and the varying levels of rigor in the textbooks discussed, which may affect their recommendations.

alba_ei
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I want study calculus for understand it better and get better in my class. For what book do I should start? What about these books: Spiavak, James Stewart, Apostol. which is better??
I already know about functions, limits and derivation but soon I am going to be with integration so I want to get basics and study again those topics (limits, functions and derivates)

which book do you recommend?:confused:
 
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I have used Stewart, early transcendentals and I found it to be pretty good.
 
I guess it depends on how deep you want to swim. In order of "shallow" to "deep": Stewart, Spivak, Apostol.
 
I've only read the works of Spiavak and Stewart, so I can't speak for Apostol. I do prefer Spiavak though.
 
Cyclovenom said:
I guess it depends on how deep you want to swim. In order of "shallow" to "deep": Stewart, Spivak, Apostol.

I like the shallow end of the pool. We used the Stewart book. :smile: And I had "https://www.amazon.com/dp/0716731606/?tag=pfamazon01-20" for "water-wings".:approve:
 
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Apostol is a bit unconventional in that he introduces integration before limits and differentiation, and in a way that most people are not used to. But if that doesn't bother you, along with the Definition-Theorem-Proof format, then Apostol is a pretty good choice to learn calculus.

Haven't seen the other books.
 

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