Elementary Differential Geometry pdf epub mobi txt 电子书下载 2024

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Christian Bär

Cambridge University Press

2010-6-14

330

USD 64.99

Paperback

9780521721493

图书标签: 数学微分几何7 微分几何 Geometry Elementary Differential 2010

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发表于2024-11-16

Elementary Differential Geometry epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Elementary Differential Geometry pdf epub mobi txt 电子书下载 2024

图书描述

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.

Elementary Differential Geometry 下载 mobi epub pdf txt 电子书