Differential Geometry: Manifolds, Curves, and Surfaces

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Differential Geometry: Manifolds, Curves, and Surfaces

Name: Differential Geometry: Manifolds, Curves, and Surfaces
ISBN: 9780387966267

Marcel Berger, Bernard Gostiaux, Silvio Levy

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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.

카테고리:

Mathematics

년:

1987

판:

출판사:

Springer

언어:

english

페이지:

484

ISBN 10: