Differential Geometry Of Curves And Surfaces A Concise Guide pdf (0817643842)

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Victor Toponogov, "Differential Geometry of Curves and Surfaces: A Concise Guide"

The study of curves and surfaces forms an important part of classical differential geometry. Differential Geometry of Curves and Surfaces: A Concise Guide presents traditional material in this field along with important ideas of Riemannian geometry. The reader is introduced to curves, then to surfaces, and finally to more complex topics. Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels.

Key topics and features:

Covers central concepts including curves, surfaces, geodesics, and intrinsic geometry
Substantive material on the Aleksandrov global angle comparison theorem, which the author generalized for Riemannian manifolds (a result now known as the celebrated Toponogov Comparison Theorem, one of the cornerstones of modern Riemannian geometry)
Contains many nontrivial and original problems, some with hints and solutions

This rigorous exposition, with well-motivated topics, is ideal for advanced undergraduate and first-year graduate students seeking to enter the fascinating world of geometry.

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	Study Effective Computational Geometry for Curves and Surfaces (Mathematics and Visualization) Effective Computational Geometry for Curves and Surfaces (Mathematics and Visualization)Springer \| ISBN 3540332588 \| 2006-12 \| PDF \| 344 pages \| 5.6 MbThe intent of this book is to settle the foundations of non-linear computational geometry ...
	Science/Engineering Effective Computational Geometry for Curves and Surfaces Publisher: SpringerLanguage: EnglishISBN: 3540332588Paperback: 344 pagesData: Dec 2006Format: PDFDescription: The intent of this book is to settle the foundations of non-linear computational geometry. It covers combinatorial data structures ...
	Science/Engineering Differential Geometry: Manifolds, Curves, and Surfaces Marcel Berger, Bernard Gostiaux, "Differential Geometry: Manifolds, Curves, and Surfaces" Springer \| 1987 \| ISBN: 0387966269 \| 474 pages \| Djvu \| 6,5 MB This book is an introduction to modern differential geometry. The authors begin with ...
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