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Cambridge University Press Elementary Differential Geometry

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Description
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.

Key Features

Elementary Differential Geometry

Product type : ABIS BOOK

Brand : Cambridge University Press

Product Specifications
Brand
Cambridge University Press
Format
paperback
ASIN
0521721490
Category
Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain
Amazon UK
Release Date
06 May 2010
Listed Since
10 September 2009

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