Exterior Billiards

Systems with Impacts Outside Bounded Domains

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Exterior Billiards by Alexander Plakhov, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexander Plakhov ISBN: 9781461444817
Publisher: Springer New York Publication: September 13, 2012
Imprint: Springer Language: English
Author: Alexander Plakhov
ISBN: 9781461444817
Publisher: Springer New York
Publication: September 13, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Residue Reviews by Alexander Plakhov
Cover of the book Options in the Management of the Open Abdomen by Alexander Plakhov
Cover of the book Legal Socialization by Alexander Plakhov
Cover of the book Handbook of Signal Processing Systems by Alexander Plakhov
Cover of the book Nanotechnology for Biology and Medicine by Alexander Plakhov
Cover of the book Modern Tools of Biophysics by Alexander Plakhov
Cover of the book Recommender Systems for Technology Enhanced Learning by Alexander Plakhov
Cover of the book Recent Advances in Weed Management by Alexander Plakhov
Cover of the book Evolutionary Foundations of Equilibria in Irrational Markets by Alexander Plakhov
Cover of the book Occupational Injuries From Electrical Shock and Arc Flash Events by Alexander Plakhov
Cover of the book Infections of the Nervous System by Alexander Plakhov
Cover of the book Ancient Astronomical Observations and the Study of the Moon’s Motion (1691-1757) by Alexander Plakhov
Cover of the book Practical Handbook of Thoracic Anesthesia by Alexander Plakhov
Cover of the book Neurochemical Mechanisms in Disease by Alexander Plakhov
Cover of the book Dyslipidemias in Kidney Disease by Alexander Plakhov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy