Authors:
Editors:
- Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem
- Many nontrivial and original problems (some with hints and solutions)
- Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"This book by the late author covers … the subjects which are normally taught in a course on the differential geometry of curves and surfaces. … It can be recommended for first-year graduate students and also for use in the classroom. … the book is rich in geometry and concrete examples. … the book is very welcome since it is an original contribution in various aspects and gives a number of geometric insights … . Numerous illustrations make the reading enjoyable." (Wolfgang Kühnel, Mathematical Reviews, Issue 2006 m)
"Toponogov’s ‘concise guide’ to elementary differential geometry has the potential to be a useful reference and/or review book … ."(Fernando Q. Gouvèa, MathDL, March, 2006)
“This book, written by one of the Russian masters, offers a comprehensive introduction to classical differential geometry of curves and surfaces. Only a basic background in analysis and linear algebra is needed to follow the presentation. … A distinctive feature of the book is that, apart from a large number of exercises, it also contains many original problems with outlines of solutions.” (A. Cap, Monatshefte für Mathematik, Vol. 155 (1), September, 2008)
Authors, Editors and Affiliations
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Department of Mathematics, University of Haifa, Haifa, Israel
Vladimir Y. Rovenski
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Department of Analysis and Geometry, Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Russia
Victor A. Toponogov
Bibliographic Information
Book Title: Differential Geometry of Curves and Surfaces
Book Subtitle: A Concise Guide
Authors: Victor A. Toponogov
Editors: Vladimir Y. Rovenski
DOI: https://doi.org/10.1007/b137116
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2006
Softcover ISBN: 978-0-8176-4384-3Published: 05 December 2005
eBook ISBN: 978-0-8176-4402-4Published: 10 September 2006
Edition Number: 1
Number of Pages: XIV, 206
Number of Illustrations: 70 b/w illustrations
Topics: Differential Geometry