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.
หมวดหมู่:
ปี:
1987
ฉบับพิมพ์ครั้งที่:
1
สำนักพิมพ์:
Springer
ภาษา:
english
จำนวนหน้า:
484
ISBN 10:
0387966269
ISBN 13:
9780387966267
ซีรีส์:
Graduate Texts in Mathematics
ไฟล์:
DJVU, 6.51 MB
IPFS:
,
english, 1987