Differential Geometry of Curves and Surfaces: A Concise Guide Paperback - 2005
by Text by (Art/Photo Books) Vladimir Rovenski; Victor Andreevich Toponogov
From the rear cover
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.
Details
- Title Differential Geometry of Curves and Surfaces: A Concise Guide
- Author Text by (Art/Photo Books) Vladimir Rovenski; Victor Andreevich Toponogov
- Binding Paperback
- Edition 1st
- Pages 206
- Volumes 1
- Language ENG
- Publisher Birkhauser
- Date 2005-12-05
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- ISBN 9780817643843 / 0817643842
- Weight 0.75 lbs (0.34 kg)
- Dimensions 9.1 x 6.1 x 0.6 in (23.11 x 15.49 x 1.52 cm)
- Library of Congress subjects Geometry, Differential, Curves on surfaces
- Library of Congress Catalog Number 2005048111
- Dewey Decimal Code 516.36
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Differential Geometry of Curves and Surfaces: A Concise Guide
by Toponogov, Victor Andreevich
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DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES: A CONCISE GUIDE
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Differential Geometry of Curves and Surfaces: A Concise Guide
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Differential Geometry of Curves and Surfaces: A Concise Guide
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Differential Geometry of Curves and Surfaces: A Concise Guide
by Toponogov, Victor Andreevich; Rovenski, Vladimir [Assistant]
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