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Exterior Billiards - Systems with Impacts Outside Bounded Domains (Hardcover, 2013 ed.) Loot Price: R1,631
Discovery Miles 16 310
Exterior Billiards - Systems with Impacts Outside Bounded Domains (Hardcover, 2013 ed.): Alexander Plakhov

Exterior Billiards - Systems with Impacts Outside Bounded Domains (Hardcover, 2013 ed.)

Alexander Plakhov

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Loot Price R1,631 Discovery Miles 16 310 | Repayment Terms: R153 pm x 12*

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A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections fromthe boundaryof a domain."Exterior Billiards" presents billiards in the complement of domains and their applications in aerodynamics and geometrical optics.

This book distinguishes itself from existing literature by presenting billiard dynamics "outside" bounded domains, including scattering, resistance, invisibility and retro-reflection. It begins with an overview of the mathematical notations used throughout the book and a brief review of the main results. Chapters 2 and 3 are focused on problems of minimal resistance and Newton s problem in media with positive temperature. In chapters 4 and 5, scattering of billiards bynonconvex and rough domains is characterized and some related special problems of optimal mass transportation are studied. Applications in aerodynamics are addressed next and problems of invisibility and retro-reflection within the framework of geometric optics conclude the text.

The book will appeal to mathematicians working in dynamical systems and calculus of variations. Specialists working in the areas of applications discussed will also find it useful."

General

Imprint: Springer-Verlag New York
Country of origin: United States
Release date: September 2012
First published: 2013
Authors: Alexander Plakhov
Dimensions: 235 x 155 x 23mm (L x W x T)
Format: Hardcover
Pages: 286
Edition: 2013 ed.
ISBN-13: 978-1-4614-4480-0
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
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LSN: 1-4614-4480-2
Barcode: 9781461444800

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