| 000 | 02806nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-4481-7 | ||
| 003 | DE-He213 | ||
| 005 | 20140220082815.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120913s2013 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461444817 _9978-1-4614-4481-7 |
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| 024 | 7 |
_a10.1007/978-1-4614-4481-7 _2doi |
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| 050 | 4 | _aQA313 | |
| 072 | 7 |
_aPBWR _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 082 | 0 | 4 |
_a515.39 _223 |
| 082 | 0 | 4 |
_a515.48 _223 |
| 100 | 1 |
_aPlakhov, Alexander. _eauthor. |
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| 245 | 1 | 0 |
_aExterior Billiards _h[electronic resource] : _bSystems with Impacts Outside Bounded Domains / _cby Alexander Plakhov. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
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| 300 |
_aXIII, 284 p. 108 illus., 61 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 520 | _aA 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 650 | 0 | _aMathematical optimization. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aDynamical Systems and Ergodic Theory. |
| 650 | 2 | 4 | _aCalculus of Variations and Optimal Control; Optimization. |
| 650 | 2 | 4 | _aMathematical Modeling and Industrial Mathematics. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461444800 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-4481-7 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c95154 _d95154 |
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