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Differential Geometry: Curves - Surfaces - Manifolds

Wolfgang Kuhnel




[PDF.cd45] Differential Geometry: Curves - Surfaces - Manifolds

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 | #5378310 in Books |  Amer Mathematical Society |  2002-02-08 | Original language:English | PDF # 1 |  8.50 x5.50 x.75l, | File type: PDF | 358 pages

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||18 of 20 people found the following review helpful.| Attractive book on differential geometry|By Hanno Essen|Differential geomety is perhaps the most beautiful part of higher mathematics. It combines geometry, analysis and intuition in a wonderful way. This attractive book is a concise and modern book that manages to be both pedagogical and accurate in a pleasant way. In only 350 pages most of the differential geometry that a n| |From a review for the German Edition: The book covers all the topics which could be necessary later for learning higher level differential geometry. The material is very carefully sorted and easy to read. -- Mathematical s

Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in $\mathbf{R 3$ that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas. With just the basic tools from multi-variable calculus, plus a little knowledge of linear algebra, it is possible to begin a mu...

You can specify the type of files you want, for your device.Differential Geometry: Curves - Surfaces - Manifolds   |  Wolfgang Kuhnel.Not only was the story interesting, engaging and relatable, it also teaches lessons.

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