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Differential Geometry of Curves and Surfaces: A Concise Guide (Paperback)
  • Differential Geometry of Curves and Surfaces: A Concise Guide (Paperback)
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Differential Geometry of Curves and Surfaces: A Concise Guide (Paperback)

(author), (assisted by)
£54.99
Paperback 206 Pages / Published: 05/12/2005
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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

Publisher: Birkhauser Boston Inc
ISBN: 9780817643843
Number of pages: 206
Weight: 710 g
Dimensions: 235 x 155 x 12 mm
Edition: 2006 ed.


MEDIA 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 Kuhnel, 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. Gouvea, 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 fur Mathematik, Vol. 155 (1), September, 2008)

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