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

Spivak, Michael

Softcover

ISBN 10: 0805390219 ISBN 13: 9780805390216

Verlag: CRC Press, 1971

Inhaltsangabe

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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Michael Spivak

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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.

Details zur Ausgabe

• Verlag: CRC Press
• Erscheinungsdatum: 1971
• Sprache: Englisch
• ISBN 10: 0805390219
• ISBN 13: 9780805390216
• Einband: Tapa blanda
• Auflage: 1
• Anzahl der Seiten: 162
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar