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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.
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Edition | Availability |
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1
Differential Geometry : Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
2012, Springer New York
in English
146126992X 9781461269922
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2
Differential Geometry : Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
2012, Springer London, Limited
in English
146121033X 9781461210337
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- Created February 27, 2022
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February 27, 2022 | Created by ImportBot | Imported from Better World Books record |