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Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces - 76 edition

Differential Geometry of Curves and Surfaces - 76 edition

ISBN13: 9780132125895

ISBN10: 0132125897

Differential Geometry of Curves and  Surfaces by Manfredo P. Do Carmo - ISBN 9780132125895
Edition: 76
Copyright: 1976
Publisher: Prentice Hall, Inc.
Published: 1976
International: No
Differential Geometry of Curves and  Surfaces by Manfredo P. Do Carmo - ISBN 9780132125895

ISBN13: 9780132125895

ISBN10: 0132125897

Edition: 76

Summary

This volume covers local as well as global differential geometry of curves and surfaces.

Makes extensive use of elementary linear algebra -- with emphasis on basic geometrical facts rather than on machinery or random details.

Stresses the basic ideas of differential geometry -- regular surfaces, the Gauss map, covariant derivatives.

Includes a large number of fully-worked examples.

Table of Contents

Table of Contents

1. Curves: Parametrized Curves.

2. Regular Surfaces: Regular Surfaces; Inverse Images of Regular Values.

3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties.

4. Intrinsic Geometry of Surfaces: Isometrics; Conformal Maps.

5. Global Differential Geometry: Rigidity of the Sphere.