Good multivariable calculus book?

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Discussion Overview

The discussion centers around recommendations for multivariable calculus textbooks, with participants sharing their opinions on various books and expressing dissatisfaction with certain texts currently in use.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses strong dissatisfaction with "Multivariable Calculus" by James Stewart, comparing it unfavorably to his single variable calculus book.
  • Another participant suggests "Vector Calculus" by Marsden and Tromba as a potential alternative.
  • A third participant recommends "Advanced Calculus of Several Variables" by C. H. Edwards without elaborating on its merits.
  • One participant questions what specific aspects of Stewart's book are disliked, suggesting "Kaplan, Advanced Calculus" and "Mathematical Methods In The Physical Sciences" by Mary L. Boas as useful alternatives.
  • A later reply mentions "volume 2 of Apostol" as another potential resource, though it is unclear what specific needs it addresses.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the quality of Stewart's book, with some expressing strong negative opinions while others suggest it has its merits. Multiple competing recommendations for alternative texts are presented, indicating a lack of agreement on a single preferred book.

Contextual Notes

Participants have not provided detailed criteria for what constitutes a "good" multivariable calculus book, nor have they specified the aspects of Stewart's book that are problematic. The discussion reflects a range of personal preferences and experiences with different texts.

Who May Find This Useful

Students seeking alternatives to commonly used multivariable calculus textbooks, educators looking for recommendations, and anyone interested in mathematical methods in the physical sciences may find this discussion relevant.

mohdhm
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hey everybody,

I'm currently using the book Multivariable Calculus by james stewart 6E and i have to say... it SUCKS. SUCKS just like his single variable calculus book that we are forced to by at university.

So I really need a good book, which one would you guys recommend?
 
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Consider Vector Calculus by Marsden and Tromba

Edit: Stewart is not a bad book, save the lack of rigor...
 
mohdhm said:
I'm currently using the book Multivariable Calculus by james stewart 6E and i have to say... it SUCKS. SUCKS just like his single variable calculus book that we are forced to by at university.

So I really need a good book, which one would you guys recommend?

Can you be more specific about what you dislike in the book you cited (with which I am not familiar)? In lieu of that information, I'll just toss out two books I think might be generally useful, or which are at least not the book you dislike :wink:

Kaplan, Advanced Calculus is probably not too bad if you just want to learn to work computations.

IMO, one of the all-around best "mathematical methods" books (covers usual vector calculus, plus complex variables, ODEs, PDEs) is Mary L. Boas, Mathematical Methods In The Physical Sciences, Wiley, 2006.
 
Last edited:
Is there anything else you need besides volume 2 of Apostol?
 

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