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007			cr |uu|||uu|||
008			181022s2019 si a ob 001 0 eng d
010			_z 2018040369
040			_aWSPC _beng _cWSPC
020			_a9789813276475 _q(ebook)
020			_z9789813276475 _q(hbk.)
020			_z9813276479 _q(pbk.)
050	0	4	_aQA614.8 _b.R68 2019
082	0	4	_a515/.39 _223
100	1		_aRozikov, Utkir A., _d1970- _920831
245	1	3	_aAn introduction to mathematical billiards _h[electronic resource] / _cUtkir A. Rozikov.
260			_aSingapore : _bWorld Scientific Publishing Co. Pte Ltd., _c©2019.
300			_a1 online resource (224 p.) : _bill.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat Reader.
588			_aTitle from web page (viewed December 4, 2018).
504			_aIncludes bibliographical references and index.
505	0		_aDynamical systems and mathematical billiards -- Billiards in elementary mathematics -- Billiards and geometry -- Billiards and physics.
520			_a"A mathematical billiard is a mechanical system consisting of a billiard ball on a table of any form (which can be planar or even a multidimensional domain) but without billiard pockets. The ball moves and its trajectory is defined by the ball's initial position and its initial speed vector. The ball's reflections from the boundary of the table are assumed to have the property that the reflection and incidence angles are the same. This book comprehensively presents known results on the behavior of a trajectory of a billiard ball on a planar table (having one of the following forms: circle, ellipse, triangle, rectangle, polygon and some general convex domains). It provides a systematic review of the theory of dynamical systems, with a concise presentation of billiards in elementary mathematics and simple billiards related to geometry and physics. The description of these trajectories leads to the solution of various questions in mathematics and mechanics: problems related to liquid transfusion, lighting of mirror rooms, crushing of stones in a kidney, collisions of gas particles, etc. The analysis of billiard trajectories can involve methods of geometry, dynamical systems, and ergodic theory, as well as methods of theoretical physics and mechanics, which has applications in the fields of biology, mathematics, medicine, and physics."-- _cPublisher's website.
650		0	_aDifferentiable dynamical systems. _920832
650		0	_aBilliards. _920833
650		0	_aElectronic books. _920834
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/11162#t=toc _zAccess to full text is restricted to subscribers.
942			_cEBK
999			_c72650 _d72650