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Calculus Best book for theoretical multivariable calculus self-study

  1. Oct 10, 2015 #1
    Hi,

    I'm looking for a good book to study multivariable calculus from that would fit a proof-based undergraduate math course.
    The emphasis should be on RIGOROUS proofs, theorems and presentation of concepts.
    I really need a book that would be approachable for self-study with clear and easy-to-follow explanations and examples.

    Can you recommend the best book? Thank you! :)
     
  2. jcsd
  3. Oct 10, 2015 #2
    I have heard that Michael Spivak's Calculus on Manifolds is a pretty good book, not as good as his single variable calculus book but still pretty good and rigorous.
     
  4. Oct 10, 2015 #3
    I like Spivak, but I don't think it is suitable for self-study (it is VERY concise). I always recommend:
    -Fleming - Functions of Several Variables
    https://www.amazon.com/Functions-Several-Variables-Undergraduate-Mathematics/dp/0387902066
    -Munkres - Analysis on Manifolds
    https://www.amazon.com/Analysis-Manifolds-Advanced-Books-Classics/dp/0201315963
    -Edwards - Advanced Calculus of Several Variables
    https://www.amazon.com/Advanced-Calculus-Several-Variables-Mathematics/dp/0486683362
     
  5. Oct 18, 2015 #4
    No one mentioned Hubbard?
     
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