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The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs)
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Andreas Kriegl 作者
American Mathematical Society
譯者
1997-11 出版日期
608 頁數
USD 72.00 價格
Hardcover
叢書系列
9780821807804 圖書編碼

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 圖書標籤: 美國數學會齣版社   

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The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


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The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 著者簡介

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 著者簡介

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The Convenient Setting of Global Analysis (Mathematical Surveys and Monographs) 在線電子書 圖書描述

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.

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