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

Spivak, Michael

9780805390216: Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

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ISBN 10: 0805390219 ISBN 13: 9780805390216

Publisher: Westview Press, 1971

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This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

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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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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.

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PublisherWestview Press
Publication date1971
ISBN 10 0805390219
ISBN 13 9780805390216
BindingPaperback
LanguageEnglish
Edition number1
Number of pages160

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9780367091903: Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

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Publisher: CRC Press, 2019
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Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

Spivak, Michael

Published by CRC Press, 1971

ISBN 10: 0805390219 ISBN 13: 9780805390216

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Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus

Michael Spivak

Published by Addison-Wesley, Reading, MA, 1965

ISBN 10: 0805390219 ISBN 13: 9780805390216

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Paperback. Condition: Fine. Fine in Wraps: flawless; the binding is square and secure; the text is clean. Free of creases to the panels. Free of creases to the backstrip. Free of creased or dog-eared pages in the text. Free of underlining, hi-lighting, notations, or marginalia. Free of any ownership names, dates, addresses, notations, inscriptions, stamps, plates, or labels. A handsome, like-new copy, structurally sound and tightly bound, showing no discernible imperfections. Bright and clean. Corners sharp. Virtually "As New'. NOT a Remainder, Book-Club, or Ex-Library. 8vo (8.35 x 5.5 x 0.35 inches) . Edited by Hugo Rossi and Robert Gunning. They have provided a Foreword. Language: English. Weight: 6.5 ounces. The first edition was published in 1965; 25th printing. Academic Press Paperback. 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. ; 8vo 8" - 9" tall; xii, 146 pages First Edition Thus; Twenty-Sixth Printing. Seller Inventory # 58711

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

Spivak, Michael

Published by CRC Press, 1971

ISBN 10: 0805390219 ISBN 13: 9780805390216

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