几何分析与PDEs

English | PDF | 2009 | 296 Pages | ISBN : 3642016731 | 3.3 MB

This volume contains lecture notes on some topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics. The presentation of the material should be rather accessible to non-experts in the field, since the presentation is didactic in nature. The reader will be provided with a survey containing some of the most exciting topics in the field, with a series of techniques used to treat such problems.

这卷包含了一些几何分析中的主题的讲义，这是一个正在成长中的数学学科，它使用了大部分偏微分方程的分析技术来处理微分几何和数学物理中的问题。材料的呈现应该对领域内的非专家来说相当可理解，因为这种呈现具有教科书性质。读者将获得一份包含该领域最激动人心话题的综述，并提供一系列用于解决这些问题的技术方法。

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