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The Calculus of Variations in the Large / Edition 8
     

The Calculus of Variations in the Large / Edition 8

by Marston Morse
 

ISBN-10: 0821810189

ISBN-13: 9780821810187

Pub. Date: 12/31/1934

Publisher: American Mathematical Society

Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the critical points of certain smooth functions on a manifold and the topology of the manifold. It has been used by geometers, topologists, physicists, and others as a remarkably effective tool to study manifolds. In the 1980s and

Overview

Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the critical points of certain smooth functions on a manifold and the topology of the manifold. It has been used by geometers, topologists, physicists, and others as a remarkably effective tool to study manifolds. In the 1980s and 1990s, Morse theory was extended to infinite dimensions with great success. This book is Morse's own exposition of his ideas. It has been called one of the most important and influential mathematical works of the twentieth century. Calculus of Variations in the Large is certainly one of the essential references on Morse theory.

Product Details

ISBN-13:
9780821810187
Publisher:
American Mathematical Society
Publication date:
12/31/1934
Series:
Colloquium Publications Series , #18
Pages:
368

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