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The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 2024 pdf epub mobi 电子书

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发表于2024-11-08

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 2024 pdf epub mobi 电子书

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 2024 pdf epub mobi 电子书

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 2024 pdf epub mobi 电子书


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出版者:American Mathematical Society
作者:Andreas Kriegl
出品人:
页数:608
译者:
出版时间:1997-11
价格:USD 72.00
装帧:Hardcover
isbn号码:9780821807804
丛书系列:

图书标签: 美国数学会出版社   

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 2024 pdf epub mobi 电子书 图书描述

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Fréchet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, the relation between tangent vectors and derivations, and differential forms are discussed thoroughly. Special emphasis is given to the notion of regular infinite dimensional Lie groups. Many applications of this theory are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 2024 pdf epub mobi 电子书
The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 2024 pdf epub mobi 电子书
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