Name: differential geometry of curves and surfaces
SKU: 3426169
Price: 1353.00 ZAR
Availability: InStock
Author: toponogov
ISBN: 9780817643843

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portada differential geometry of curves and surfaces

differential geometry of curves and surfaces

Type

Physical Book

Publisher

Springer

Author

toponogov

Language

English

Pages

206

ISBN

0817643842

ISBN13

9780817643843

Synopsis "differential geometry of curves and surfaces"

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.