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

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Barden, Dennis/ Thomas, Charles B.

World Scientific Pub Co Inc

2003-4

232

$ 79.10

HRD

9781860943546

图书标签: 技术 Math

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发表于2024-11-30

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

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

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 下载 mobi epub pdf txt 电子书