ENGLISH

Differential Geometry: Manifolds, Curves, and Surfaces

By Silvio Levy , Marcel Berger , Bernard Gostiaux

Book information

Publisher
Springer
Year
1987
ISBN
0387966269, 9780387966267
LCC
QA641 .B4713 1988
Language
english
Format
DJVU
Filesize
7 MB (6829242 bytes)
Series
Graduate Texts in Mathematics
Edition
1
Pages
484\484
Time added
2010-10-13 10:14:08

Description

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.

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