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The Beltrami Equation - A Geometric Approach (Hardcover, 2012 ed.) Loot Price: R4,611
Discovery Miles 46 110
The Beltrami Equation - A Geometric Approach (Hardcover, 2012 ed.): Vladimir Gutlyanskii, Vladimir Ryazanov, Uri Srebro, Eduard...

The Beltrami Equation - A Geometric Approach (Hardcover, 2012 ed.)

Vladimir Gutlyanskii, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov

Series: Developments in Mathematics, 26

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Loot Price R4,611 Discovery Miles 46 110 | Repayment Terms: R432 pm x 12*

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This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex dynamics, potential theory, electrostatics, magnetostatics, hydrodynamics and magneto-hydrodynamics.

The purpose of this book is to present the recent developments in the theory of Beltrami equations; especiallythose concerning degenerate and alternating Beltrami equations. The authors study a wide circle of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates and boundary behaviorof solutions to the Beltrami equations. The monographcontains a number of new types of criteria in the given problems, particularly new integral conditions for the existence of regular solutions to the Beltrami equations that turned out to be not only sufficient but also necessary.

The most important feature of this bookconcerns the unified geometric approach based on the modulus method that is effectively applied to solving the mentioned problems. Moreover, it is characteristic for the book application of many new concepts as strong ring solutions, tangent dilatations, weakly flat and strongly accessible boundaries, functions of finite mean oscillations and new integral conditions that make possible to realize a more deep and refined analysis of problems related to the Beltrami equations. Mastering and using these new tools alsogives essential advantages for the reader in the research of modern problems in many other domains. Every mathematics graduate library should have a copy of this book. "

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Developments in Mathematics, 26
Release date: May 2012
First published: 2012
Authors: Vladimir Gutlyanskii • Vladimir Ryazanov • Uri Srebro • Eduard Yakubov
Dimensions: 235 x 155 x 19mm (L x W x T)
Format: Hardcover
Pages: 302
Edition: 2012 ed.
ISBN-13: 978-1-4614-3190-9
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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LSN: 1-4614-3190-5
Barcode: 9781461431909

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