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An Introduction to Differential Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Barden, Dennis/ Thomas, Charles B. 作者

World Scientific Pub Co Inc

译者

2003-4 出版日期

232 页数

$ 79.10 价格

HRD

丛书系列

9781860943546 图书编码

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An Introduction to Differential Manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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An Introduction to Differential Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

An Introduction to Differential Manifolds 在线电子书图书描述

An introduction to basic ideas in differential topology, based on the many years of teaching experience of both authors. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincare-Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include examples drawn from geometric manifolds in dimension 3 and Brieskorn varieties in dimensions 5 and 7, as well as detailed calculations for the cohomology groups of spheres and tori.

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