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

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SUMMARY

The discussion centers on the best books for beginners studying calculus, specifically comparing Spivak, James Stewart, and Apostol. Participants agree that James Stewart's "Early Transcendentals" is suitable for those preferring a less rigorous approach, while Spivak offers a more in-depth understanding. Apostol is noted for its unconventional structure, introducing integration before limits and differentiation, appealing to those comfortable with a formal Definition-Theorem-Proof format. Ultimately, the choice of book depends on the reader's desired depth of understanding.

PREREQUISITES
  • Basic understanding of functions, limits, and derivatives
  • Familiarity with calculus concepts
  • Ability to engage with mathematical proofs
  • Interest in varying levels of rigor in mathematical texts
NEXT STEPS
  • Research "James Stewart Early Transcendentals" for a beginner-friendly approach
  • Explore "Spivak's Calculus" for a deeper understanding of calculus concepts
  • Investigate "Apostol's Calculus" for an unconventional introduction to integration
  • Review online resources or forums discussing calculus textbooks for additional recommendations
USEFUL FOR

Students beginning their calculus journey, educators seeking textbook recommendations, and anyone looking to deepen their understanding of calculus concepts.

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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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