Conformal Maps And Geometry
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A01=Dmitry Beliaev
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Author_Dmitry Beliaev
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Category1=Non-Fiction
Category=PBK
Category=PBKD
Category=PBMS
Complex Analysis
Conformal Maps
COP=United Kingdom
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Function Theory
Language_English
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Price_€50 to €100
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softlaunch
Product details
- ISBN 9781800616356
- Publication Date: 06 Dec 2019
- Publisher: World Scientific Europe Ltd
- Publication City/Country: GB
- Product Form: Paperback
- Language: English
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'I very much enjoyed reading this book … Each chapter comes with well thought-out exercises, solutions to which are given at the end of the chapter. Conformal Maps and Geometry presents key topics in geometric function theory and the theory of univalent functions, and also prepares the reader to progress to study the SLE. It succeeds admirably on both counts.'MathSciNetGeometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner evolution.Though Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner evolution. This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry.It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. Conformal Maps and Geometry is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm-Loewner evolution.
