Calculus on Manifolds
A Modern Approach to Classical Theorems of Advanced Calculus
By (author) Michael Spivak
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Calculus on Manifolds by Michael Spivak
Book DescriptionThis 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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Book DetailsISBN: 9780805390216
(210mm x 140mm x 10mm)
Imprint: Perseus Books
Publisher: The Perseus Books Group
Publish Date: 1-Jan-1971
Country of Publication: United States
Books By Author Michael Spivak
Calculus, Hardback (June 2006)» View all books by Michael Spivak
Spivak's celebrated Calculus is ideal for mathematics majors seeking an alternative to doorstop textbooks and formidable introductions to real analysis.
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