Inversion Theory and Conformal Mapping 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Inversion Theory and Conformal Mapping

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David E. Blair 作者
American Mathematical Society
譯者
2000-8-17 出版日期
118 頁數
USD 22.00 價格
Paperback
Student Mathematical Library 叢書系列
9780821826362 圖書編碼

Inversion Theory and Conformal Mapping 在線電子書 圖書標籤: 數學  微分幾何7  反演理論  共形映射   


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Inversion Theory and Conformal Mapping 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Inversion Theory and Conformal Mapping 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Inversion Theory and Conformal Mapping 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



Inversion Theory and Conformal Mapping 在線電子書 用戶評價

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本科時看的,研究Mobius變換的興趣和雙麯幾何成功掛鈎

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本科時看的,研究Mobius變換的興趣和雙麯幾何成功掛鈎

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本科時看的,研究Mobius變換的興趣和雙麯幾何成功掛鈎

評分

本科時看的,研究Mobius變換的興趣和雙麯幾何成功掛鈎

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本科時看的,研究Mobius變換的興趣和雙麯幾何成功掛鈎

Inversion Theory and Conformal Mapping 在線電子書 著者簡介

David E. Blair: Michigan State University, East Lansing, MI


Inversion Theory and Conformal Mapping 在線電子書 著者簡介


Inversion Theory and Conformal Mapping 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Inversion Theory and Conformal Mapping 在線電子書 圖書描述

It is rarely taught in undergraduate or even graduate curricula that the only conformal maps in Euclidean space of dimension greater than two are those generated by similarities and inversions in spheres. This is in stark contrast to the wealth of conformal maps in the plane. This fact is taught in most complex analysis courses.

The principal aim of this text is to give a treatment of this paucity of conformal maps in higher dimensions. The exposition includes both an analytic proof, due to Nevanlinna, in general dimension and a differential geometric proof in dimension three. For completeness, enough complex analysis is developed to prove the abundance of conformal maps in the plane. In addition, the book develops inversion theory as a subject, along with the auxiliary theme of circle-preserving maps. A particular feature is the inclusion of a paper by Carathéodory with the remarkable result that any circle-preserving transformation is necessarily a Möbius transformation—not even the continuity of the transformation is assumed.

The text is at the level of advanced undergraduates and is suitable for a capstone course, topics course, senior seminar or as an independent study text. Students and readers with university courses in differential geometry or complex analysis bring with them background to build on, but such courses are not essential prerequisites.

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