Handbook of Complex Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Kuhnau, Reiner 编作者

Elsevier Science Ltd

译者

2004-12 出版日期

876 页数

$ 310.75 价格

HRD

丛书系列

9780444515476 图书编码

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Handbook of Complex Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side, there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). "The Handbook of Geometric Function Theory" contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). The key features include: a collection of independent survey articles in the field of Geometric Function Theory; existence theorems and qualitative properties of conformal and quasiconformal mappings; and a bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

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