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可微流形和李群基础

可微流形和李群基础

作者:Frank W.Warner

分类:文学

ISBN:9787506266055

出版时间:2004-4

出版社:世界图书出版公司

标签: 李群  数学  微分流形  微分几何 

内容简介

This book provides the necessary foundation for students interested in any of the diverse areas of mathematics which require the notion of a differentiable manifold. It is designed as a beginning graduate-level textbook and presumes a good undergraduate training in algebra and analysis plus some knowledge of point set topology, covering spaces, and the fundamental group. It is also intended for use as a reference book since it includes a number of items which are difficult to ferret out of the literature, in particular, thecompleteand self-contained proofs of the fundamental theorems of Hodge and de Rham.

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