An Introduction to Differential Manifolds 2024 pdf epub mobi 电子书

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发表于2024-12-03

An Introduction to Differential Manifolds 2024 pdf epub mobi 电子书

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出版者:World Scientific Pub Co Inc

作者:Barden, Dennis/ Thomas, Charles B.

出品人:

页数:232

译者:

出版时间:2003-4

价格:$ 79.10

装帧:HRD

isbn号码:9781860943546

丛书系列:

图书标签: 技术 Math

An Introduction to Differential Manifolds 2024 pdf epub mobi 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.

An Introduction to Differential Manifolds 2024 pdf epub mobi 电子书

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