Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

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Westview Press, 1965 - Mathematics - 160 pages
4 Reviews
This little book is especially concerned with those portions of ”advanced calculus” in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

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Review: Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

User Review  - Brandon Meredith - Goodreads

What yo mamma never told you you could do with calculus! Read full review

Review: Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

User Review  - Brian - Goodreads

I just read this again because another book was obfuscating exterior calculus for me, where it had formerly been clear. It's Spivak's usual clear (and very brief style) which I love. Stokes' Theorem in half a page! Read full review

Contents

III
1
IV
5
V
11
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