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Differential Geometry: Manifolds, Curves, and Surfaces
Language: en
Pages: 487
Authors: Marcel Berger
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged ve
Differential Geometry
Language: en
Pages: 394
Authors: Wolfgang Kühnel
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about lin
Manifolds and Differential Geometry
Language: en
Pages: 690
Authors: Jeffrey Marc Lee
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

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Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and s
Differential Geometry of Curves and Surfaces
Language: en
Pages: 192
Authors: Shoshichi Kobayashi
Categories: Mathematics
Type: BOOK - Published: 2019-11-13 - Publisher: Springer Nature

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This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozak
Differential Geometry of Curves and Surfaces
Language: en
Pages: 215
Authors: Victor Andreevich Toponogov
Categories: Mathematics
Type: BOOK - Published: 2006-09-10 - Publisher: Springer Science & Business Media

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Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original