Differential Geometry: Manifolds, Curves, and Surfaces by Bernard Gostiaux, Marcel Berger, Silvio Levy

Differential Geometry: Manifolds, Curves, and Surfaces



Download Differential Geometry: Manifolds, Curves, and Surfaces




Differential Geometry: Manifolds, Curves, and Surfaces Bernard Gostiaux, Marcel Berger, Silvio Levy
Language: English
Page: 484
Format: djvu
ISBN: 0387966269, 9780387966267
Publisher: Springer

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.

Language Notes

Text: English, French (translation)

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