Toponogov / Rovenski Differential Geometry of Curves and Surfaces
1. Auflage 2006
ISBN: 978-0-8176-4402-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Concise Guide
E-Book, Englisch, 214 Seiten, Web PDF
Reihe: Mathematics and Statistics
ISBN: 978-0-8176-4402-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
presents traditional material in classicial differential geometry 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.
The work covers central concepts including curves, surfaces, geodesics, intrinsic geometry, the Aleksandrov global angle comparison theorem, and the celebrated . This rigorous exposition, with well-motivated topics and many nontrivial and original problems (some with hints and solutions), is ideal for advanced undergraduate and first-year graduate students seeking to enter the fascinating world of geometry.
Zielgruppe
Graduate
Weitere Infos & Material
Theory of Curves in Three-dimensional Euclidean Space and in the Plane.- Extrinsic Geometry of Surfaces in Three-dimensional Euclidean Space.- Intrinsic Geometry of Surfaces.
