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- 000 02121nam a2200289 a 4500
- 008 101201s2010 nyua sb 001 0 eng d
- 050 00 |a QA641 |b .B325 2010
- 100 1_ |a B?r, Christian.
- 245 10 |a Elementary differential geometry |h [electronicresource] / |c Christian B?r.
- 260 __ |a New York : |b Cambridge University Press, |c 2010.
- 300 __ |a 1 online resource (xii, 317 p.) : |b ill.
- 500 __ |a Descriptionbasedonprintversionrecord.
- 504 __ |a Includes bibliographical references (p. 311-312) and index.
- 520 __ |a "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.
- 650 _0 |a Geometry, Differential |v Textbooks.
- 856 4_ |u http://www.itextbook.cn/f/book/bookDetail?bookId=1ed42bed117346989e3b59de6ff6d65d |z An electronic book accessible through the World Wide Web; click to view