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

Spivak, Michael

Hardcover

ISBN 10: 0367091909 ISBN 13: 9780367091903

Publisher: CRC Press, 2019

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.

About this title

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.

Edition details

• Publisher: CRC Press
• Publication date: 2019
• Language: English
• ISBN 10: 0367091909
• ISBN 13: 9780367091903
• Binding: Hardcover
• Edition number: 1
• Number of pages: 160