An Introduction to Differential Manifolds 2025 pdf epub mobi 電子書 下載

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An Introduction to Differential Manifolds pdf epub mobi 著者簡介

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An Introduction to Differential Manifolds pdf epub mobi 圖書描述

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 2025 pdf epub mobi 電子書 下載

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An Introduction to Differential Manifolds pdf epub mobi 圖書目錄

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發表於2025-01-10

An Introduction to Differential Manifolds 2025 pdf epub mobi 電子書 下載

An Introduction to Differential Manifolds 2025 pdf epub mobi 電子書 下載

An Introduction to Differential Manifolds 2025 pdf epub mobi 電子書 下載

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圖書標籤: 技術  Math   

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An Introduction to Differential Manifolds 2025 pdf epub mobi 電子書 下載

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