Calculus book between Stewart & Spivak levels

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SUMMARY

Several calculus books exist that bridge the gap between Stewart (or Thomas) and Spivak (Courant/Apostol) levels. Notable recommendations include Keisler's book utilizing hyperreal numbers, Buck's Advanced Calculus, and early editions of Edwards and Penney, Lipman Bers, Courant, Lang, Cruse, and Granberg. Each of these texts offers varying degrees of rigor and accessibility, making them suitable for different learning preferences. For a comprehensive understanding, browsing university library stacks is advised.

PREREQUISITES
  • Familiarity with calculus fundamentals
  • Understanding of hyperreal numbers
  • Knowledge of advanced calculus concepts
  • Ability to evaluate different calculus textbooks
NEXT STEPS
  • Research Keisler's calculus book on hyperreal numbers
  • Explore Buck's Advanced Calculus for a higher-level perspective
  • Investigate early editions of Edwards and Penney for a balanced approach
  • Examine Apostol's calculus for rigorous learning techniques
USEFUL FOR

Students, educators, and mathematics enthusiasts seeking a deeper understanding of calculus that balances rigor and accessibility will benefit from this discussion.

AfterSunShine
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Hi,
Are there calculus books that lie between Stewart (or Thomas) level and Spivak (Courant/Apostol) level?
Thanks.
 
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One has to guess at your definition of "between", but some candidates I would mention include Edwards and Penney 1st edition (1982), Lipman Bers Calculus, and in fact Courant, and maybe Lang, also Cruse and Granberg. early editions in all cases. (when you say "Thomas" or "Stewart", you know you are including many very different editions, hence very different books). Basic advice: go to a university library, sit in stacks and browse calculus books.

https://www.abebooks.com/servlet/SearchResults?an=edwards and penney&bi=0&bx=off&cm_sp=SearchF-_-Advs-_-Result&ds=30&recentlyadded=all&rollup=on&sortby=17&sts=t&tn=calculus&xdesc=off&xpod=off

https://www.abebooks.com/servlet/SearchResults?sts=t&cm_sp=SearchF-_-home-_-Results&an=cruse, granberg

https://www.abebooks.com/servlet/SearchResults?kn=lipman bers calculus&sts=t&cm_sp=SearchF-_-topnav-_-Results

https://www.abebooks.com/servlet/SearchResults?kn=serge lang calculus&sts=t&cm_sp=SearchF-_-topnav-_-Results

https://www.abebooks.com/servlet/SearchResults?kn=richard courant calculus&sts=t&cm_sp=SearchF-_-topnav-_-Results
 
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While rigorous, Apostol can actually be used to learn calculus by itself, unlike Spivak, which makes it much more approachable.
 
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AfterSunShine said:
Hi,
Are there calculus books that lie between Stewart (or Thomas) level and Spivak (Courant/Apostol) level?
Thanks.
Edwin E. Moise: Calculus. It is closer to Courant imo.
 
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