Vector calculus book recommendations

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SUMMARY

The forum discussion centers on recommendations for vector calculus books that match the rigor of Spivak's Calculus. Users suggest several titles, including "Vector Calculus" by Hubbard, "Calculus, Volume 2" by Apostol, and "Differential Forms" by Weintraub. While Apostol's book is praised, concerns about its inclusion of linear algebra prerequisites are noted. Additionally, Spivak's "Calculus on Manifolds" is recommended as a concise alternative at 150 pages.

PREREQUISITES
  • Familiarity with Spivak's Calculus
  • Understanding of vector calculus fundamentals
  • Basic knowledge of linear algebra concepts
  • Ability to engage with differential forms
NEXT STEPS
  • Research "Vector Calculus" by Hubbard for its rigor and approach
  • Explore "Calculus, Volume 2" by Apostol for comprehensive coverage
  • Investigate "Differential Forms" by Weintraub for advanced topics
  • Read "Calculus on Manifolds" by Spivak for a concise overview
USEFUL FOR

Students and educators in mathematics, particularly those seeking rigorous resources in vector calculus and related fields.

Spearmintz
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Hi, i have just finished self-studying spivak calculus and have thoroughtly enjoyed reading it and doing the problems.
I am looking to find a book on vector calculus with similar rigor as that of spivak.
Any recommendations?

I have heard Hubbards book on vector calculus is not bad. Any comments?

Thanks in advance.
 
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Apostol+Courant+Differential forms by Weintraub
 
Thanks for replying.

I think Apostol's book seems good; but it includes linear algebra, so i was wondering if there is any linear algebra requirements before reading it.

As for courant's, its about 1000 pages which i find too long.

Thannks anyway.
 
You might also consider Spivak's calculus on manifolds; that one is only about 150 pages!
 

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