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Synopsis
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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About the Author
Michael Spivak
From the Back Cover
A supplementary text for undergraduate courses in the calculus of variations which provides an introduction to modern techniques in the field based on measure theoretic geometry. Varifold geometry is presented through and appraisal of Plateau's problem.
"About this title" may belong to another edition of this title.
- PublisherCRC Press
- Publication date1971
- ISBN 10 0805390219
- ISBN 13 9780805390216
- BindingPaperback
- LanguageEnglish
- Number of pages162
- Rating
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Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
Published by
Addison-Wesley, Reading, MA, 1965
ISBN 10: 0805390219
ISBN 13: 9780805390216
Used
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