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The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher)
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简体网页||繁体网页
Steven G. Krantz 作者
Birkhäuser Boston
译者
1999-05-01 出版日期
319 页数
USD 84.95 价格
Hardcover
Birkhäuser Advanced Texts Basler Lehrbücher 丛书系列
9780817640972 图书编码

The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 图书标签: 几何分析  几何  Geometry  Geometrical_Analysis   

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The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 著者简介

The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 图书目录

The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

The Geometry of Domains in Space (Birkhäuser Advanced Texts / Basler Lehrbücher) 在线电子书 图书描述

Traditionally, analysis on Euclidean space is based on the study of the classical groups that act on the space. The classical treatises focus on rotations, dilations, and especially translations; all of these tools and techniques have shaped the way in which classical analysis on Euclidean space has developed.

On the other hand, a modern analytical treatment, such as the one presented here, often focuses on domains in space. A domain is the natural venue for various problems arising from physics, as well as the natural setting for the study of boundary value problems. Instead of considering group actions (inappropriate since a typical domain has on natural symmetries), one considers properties that arise from the intrinsic geometry of the domain and from the geometry of the boundary as a codimension one manifold in space.

Contributing to part of the new "toolkit" that should be at hand for every analyst, the authors cover a wide array of topics: imbedded manifolds, curvature, positive reach, Sard's theorem, Sobolev spaces, the isoperimetric inequality, Weyl's theorem, covering theorems, convex functions, and Stokes's theorem in all of its many formulations, to name just several. All geometric ideas are treated in a self-contained manner.

This comprehensive treatment of domains (in space) emphasizes the growing interaction between analysis and geometry. Geometric analysis, as it is known, is currently an important area of study for both pure and applied mathematicians, physicists, and engineers. Aimed at graduate students of the field, this monograph will be useful in the classroom or as a resource for self-study. The prerequisites are minimal; a good understanding of multivariate calculus and linear algebra will suffice for most purposes.

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