MARC状态：已编 文献类型：西文图书 浏览次数：16
- 题名/责任者:
- Elementary differential geometry Christian B?r.
- 出版发行项:
- New York : Cambridge University Press, 2010.
- ISBN:
- 9780511731235
- ISBN:
- 9780521896719
- 载体形态项:
- 1 online resource (xii, 317 p.) : ill.
- 个人责任者:
- B?r, Christian.
- 论题主题:
- Geometry, Differential-Textbooks.
- 中图法分类号:
- O186.1
- 一般附注:
- Descriptionbasedonprintversionrecord.
- 书目附注:
- Includes bibliographical references (p. 311-312) and index.
- 摘要附注:
- "The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra"--Provided by publisher.
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