Differential Geometry: Manifolds, Curves, and Surfaces
Marcel Berger, Bernard Gostiaux, Silvio Levy
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.
Категории:
Година:
1987
Издание:
1
Издателство:
Springer
Език:
english
Страници:
484
ISBN 10:
0387966269
ISBN 13:
9780387966267
Серия:
Graduate Texts in Mathematics
Файл:
DJVU, 6.51 MB
IPFS:
,
english, 1987