An Introduction to Manifolds 2024 pdf epub mobi 电子书

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发表于2024-05-17

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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学完近世代数，看这本书应该不成问题。比北大陈维桓的书好看的多，由于使用了代数学的理论，使得证明过程大为精炼。Boothby的书该讲的没讲透，大家都知道的扯了一大堆。总的来说，这本书很和我的胃口，力荐！

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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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