An Introduction to Manifolds 2024 pdf epub mobi 电子书

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发表于2024-11-21

An Introduction to Manifolds 2024 pdf epub mobi 电子书

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内容比较少，浅显。不算Appendix的话就300页左右，比较适合初学者。想再深入点就没办法了。作者说是这本书是经典的“Differential forms in algebraic topology”的前传。但是，正如很多经典电影的前传一样，这本书差了原书几个档次。Bott大师已逝，经典不再重现。

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没有人评价的一本书，好奇怪。在我看来，这本书是流形理论最佳的入门书。作者是曾经和Raul Bott合写Differential Forms in Algebraic Topology的Loring Tu。读这本书不需要什么太多的数学基础，作者从最基础的东西一步步develop整个流形理论。习题大部分都有答案或者提示，而且...

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出版者:Springer

作者:Loring W. Tu

出品人:

页数:410

译者:

出版时间:2010-10-8

价格:USD 59.95

装帧:Paperback

isbn号码:9781441973993

丛书系列:

图书标签: 数学流形 Manifolds 微分几何几何 Mathematics Tu differential_geometry

An Introduction to Manifolds 2024 pdf epub mobi 电子书图书描述

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, "Introduction to Manifolds" is also an excellent foundation for Springer's GTM 82, "Differential Forms in Algebraic Topology".

An Introduction to Manifolds 2024 pdf epub mobi 电子书

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