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A Course In Minimal Surfaces 1st Edition Tobias Holck Colding

  • SKU: BELL-79384390
A Course In Minimal Surfaces 1st Edition Tobias Holck Colding
$ 31.00 $ 45.00 (-31%)

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A Course In Minimal Surfaces 1st Edition Tobias Holck Colding instant download after payment.

Publisher: 高等教育出版社
File Extension: PDF
File size: 52.26 MB
Pages: 313
Author: Tobias Holck Colding, William P. Minicozzi Ⅱ)
ISBN: 9787040469110, 7040469111
Language: English
Year: 2017
Edition: 1

Product desciption

A Course In Minimal Surfaces 1st Edition Tobias Holck Colding by Tobias Holck Colding, William P. Minicozzi Ⅱ) 9787040469110, 7040469111 instant download after payment.

极小曲面可追溯到欧拉和拉格朗日以及变分法发轫的年代,它的很多技术在几何和偏微分方程中发挥着关键作用,例子包括:源自极小曲面正则性理论的单调性和切锥分析,基于Bernstein的经典工作最大值原理的非线性方程估值,还有勒贝格的积分定义——这是他在有关极小曲面的Plateau问题的论文中发展出来的。

本书从极小曲面的经典理论开始,以当今的研究专题结束。在处理极小曲面的各种方法(复分析、偏微分方程或者几何测度论)中,作者选择了将注意力放在这个理论的偏微分方程方面。本书也包含极小曲面在其他领域的应用,包括低堆拓扑、广义相对论以及材料科学。

本书的预备知识仅要求了解黎曼几何的基本知识并熟悉最大值原理。

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