《Differential Geometry》

Differential Geometrytxt，chm，pdf，epub，mobi下载
作者: Marcel Berger / Bernard Gostiaux
出版社: Springer
副标题: Manifolds, Curves, and Surfaces
译者: Silvio Levy
出版年: 1987-11-23
页数: 476
定价: USD 99.00
装帧: Hardcover
丛书: Graduate Texts in Mathematics
ISBN: 9780387966267

内容简介  · · · · · ·

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 the...

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.

作者简介  · · · · · ·

作者：(法国)M.贝尔热 (法国)B.戈斯丢

M.贝尔热 Marcel Berger（1927 ），著名的法国数学家，法国微分几何老前辈。曾任法国科学高等研究所（1HES）所长。贝尔热教授撰写过多本成功的几何著作，并以书中的精巧论述而见长。