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Differential Geometry and its Applications

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Differential Geometry and its Applications

最 低 价：￥588.70

定 价：￥594.60

作 者：John Oprea（约翰·奥普利） 著

出 版 社：The Mathematical Association of America

出版时间：2007-09-06

I S B N：9780883857489

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  • Differential Geometry and its Applications
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    内容简介
    Differential geometry has a long, wonderful history and has found relevance in many areas.　This book studies the differential geometry of surfaces with the goal of helping students make the transition from the standard university curriculum to a type of mathematics that is a unified whole, by mixing geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. Differential geometry is not just for mathematics majors, but also for students in engineering and the sciences. Into the mix of these ideas comes the opportunity to visualize concepts through the use of computer algebra systems such as Maple. The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.

    作者简介
    John Oprea received his Ph.D. at Ohio State University in 1982 and, after a post-doc at Purdue University, he began his tenure at Cleveland State in 1985. Professor Oprea is an Associate Editor of the Journal of Geometry and Symmetry in Physics. In 1996, he was awarded the MAA s Lester R. Ford award for his Monthly article, "Geometry and the Foucault Pendulum". Besides various journal articles on Topology and Geometry, he is also the author of The Mathematics of Soap Films (AMS Student Math Library, volume 10), Symplectic Manifolds with no K???¤hler Structure (with A. Tralle, Springer Lecture Notes in Mathematics, volume 1661), and Lusternik-Schnirelmann Category (with O. Cornea, G. Lupton and D. Tanr????, AMS Mathematical Surveys and Monographs, volume 103).

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