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120913s2013 xxu| s |||| 0|eng d |
| 020 |
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|a 9781461444817
|9 978-1-4614-4481-7
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|a 10.1007/978-1-4614-4481-7
|2 doi
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|a QA313
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|a PBWR
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|a MAT034000
|2 bisacsh
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|a 515.39
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|a Plakhov, Alexander.
|e author.
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|a Exterior Billiards
|b Systems with Impacts Outside Bounded Domains /
|c by Alexander Plakhov.
|h [electronic resource] :
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| 264 |
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2013.
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| 300 |
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|a XIII, 284 p. 108 illus., 61 illus. in color.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
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|a A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from�the boundary�of 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 by�nonconvex 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.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Differentiable dynamical systems.
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| 650 |
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|a Mathematical optimization.
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| 650 |
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|a Mathematics.
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| 650 |
2 |
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|a Dynamical Systems and Ergodic Theory.
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| 650 |
2 |
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|a Calculus of Variations and Optimal Control; Optimization.
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| 650 |
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|a Mathematical Modeling and Industrial Mathematics.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9781461444800
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-4481-7
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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