Riemannian Geometry and Geometric Analysis 2024 pdf epub mobi 电子书

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发表于2024-11-19

Riemannian Geometry and Geometric Analysis 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Jurgen Jost

出品人:

页数:532

译者:

出版时间:2001-12-06

价格:USD 62.95

装帧:Paperback

isbn号码:9783540426271

丛书系列:

图书标签: 本科数学

Riemannian Geometry and Geometric Analysis 2024 pdf epub mobi 电子书图书描述

The second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation of the geometric aspects of harmonic maps: This uses geometric methods from the theory of geometric spaces of nonpositive curvature and, at the same time, sheds light on these, as an excellent example of the integration of deep geometric insights and powerful analytical tools. These new materials are based on a course at the University of Leipzig, entitled Geometry and Physics, attended by graduate students, postdocs and researchers from other areas of mathematics. Much of this material appears for the first time in a textbook.

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