Differential Geometry : Manifolds, Curves, and Surfaces

Manifolds, Curves, and Surfaces

Differential Geometry : Manifolds, Curves, an ...
Marcel Berger, Bernard Gostiau ...
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February 27, 2022 | History

Differential Geometry : Manifolds, Curves, and Surfaces

Manifolds, Curves, and Surfaces

This book is an introduction to modern differential geometry. The authors begin with the necessary tools from analysis and topology, including Sard's theorem, de Rham cohomology, calculus on manifolds, and a degree theory. The general theory is illustrated and expanded using the examples of curves and surfaces. In particular, the book contains the classical local and global theory of surfaces, including the fundamental forms, curvature, the Gauss-Bonnet formula, geodesics, and minimal surfaces.

Publish Date
Language
English

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Book Details


Classifications

Library of Congress
QA641-670

The Physical Object

Pagination
xii, 476

Edition Identifiers

Open Library
OL37232722M
ISBN 13
9781461210337

Work Identifiers

Work ID
OL27351487W

Source records

Better World Books record

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February 27, 2022 Created by ImportBot Imported from Better World Books record