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Potential Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Lester Helms 作者

Springer

译者

2009-6-18 出版日期

452 页数

USD 69.95 价格

Paperback

丛书系列

9781848823181 图书编码

Potential Theory 在线电子书图书标签: 数学 Theory Springer Potential 2009

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发表于2024-11-23

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Potential Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Potential Theory 在线电子书图书描述

This book presents a clear path from calculus to classical potential theory and beyond with the aim of moving the reader into a fertile area of mathematical research as quickly as possible. The first half of the book develops the subject matter from first principles using only calculus. The second half comprises more advanced material for those with a senior undergraduate or beginning graduate course in real analysis. For specialized regions, solutions of Laplace's equation are constructed having prescribed normal derivatives on the flat portion of the boundary and prescribed values on the remaining portion of the boundary. By means of transformations known as diffeomorphisms, these solutions are morphed into local solutions on regions with curved boundaries. The Perron-Weiner-Brelot method is then used to construct global solutions for elliptic PDEs involving a mixture of prescribed values of a boundary differential operator on part of the boundary and prescribed values on the remainder of the boundary.

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