Potential Theory in the Complex Plane 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Ransford, Thomas 作者

译者

1995-4 出版日期

244 页数

$ 166.11 价格

丛书系列

9780521461207 图书编码

Potential Theory in the Complex Plane 在线电子书图书标签: 数学复分析

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Potential Theory in the Complex Plane 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Potential Theory in the Complex Plane 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmen-Lindelof principle, the Koebe one-quarter mapping theorem and a sharp quantitative form of Runge's theorem. In addition there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics, and gives a flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.

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