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Inversion Theory and Conformal Mapping by David E. Blair (Paperback, 2007)

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This fact is taught in most complex analysis courses. Title: Inversion Theory and Conformal Mapping. Author: David E. Blair. Format: Paperback. Condition: New. Item Weight: 165g. Country/Region of Manufacture: US.

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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 Caratheodory with the remarkable result that any circle-preserving transformation is necessarily a Mobius 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.

Product Identifiers

Publisher
American Mathematical Society
ISBN-13
9780821826362
eBay Product ID (ePID)
94980428

Product Key Features

Author
David E. Blair
Publication Name
Inversion Theory and Conformal Mapping
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2007
Type
Textbook
Number of Pages
118 Pages

Additional Product Features

Title_Author
David E. Blair
Series Title
Student Mathematical Library
Country/Region of Manufacture
United States

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Picture 1 of 1

Inversion Theory and Conformal Mapping by David E. Blair (Paperback, 2007)

About this product

Product Information

Product Identifiers

Product Key Features

Additional Product Features

Best Selling in Adult Learning & University

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The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

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In-Basket Case Studies by Guy Adamson (Paperback, 1986)

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