This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics.
The book is based on an advanced undergraduate topics course (but contains more material than can be realistically taught in one semester). Although the minimum prerequisites include only the standard material usually covered in the first two years of college (the entire calculus sequence, linear algebra), readers should show some mathematical maturity and strongly rely on their mathematical common sense. As a reward, they will be taken to the forefront of current research.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
EUR 16,32 per la spedizione da U.S.A. a Italia
Destinazione, tempi e costiEUR 2,00 per la spedizione da Irlanda a Italia
Destinazione, tempi e costiDa: Better World Books, Mishawaka, IN, U.S.A.
Condizione: Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Codice articolo 1008672-6
Quantità: 1 disponibili
Da: Yes Books, Portland, ME, U.S.A.
Soft cover. Condizione: Good. No Jacket. Very light moisture damage on first ten pages. Cover worn around edges. Still a good copy. Clean and unmarked. 176 pages. Codice articolo 017607
Quantità: 1 disponibili
Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Condizione: New. Describes billiards and their relation with differential geometry, classical mechanics, and geometrical optics. This book covers such topics as variational principles of billiard motion, and symplectic geometry of rays of light and integral geometry. It is suitable for students interested in ergodic theory and geometry. Series: Student Mathematical Library. Num Pages: 176 pages, Illustrations. BIC Classification: PBM; PBW; WSJZ. Category: (P) Professional & Vocational. Weight in Grams: 242. . 2005. Paperback. . . . . Codice articolo V9780821839195
Quantità: 1 disponibili
Da: Rarewaves.com UK, London, Regno Unito
Paperback. Condizione: New. illustrated Edition. Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards.The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincare recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. Codice articolo LU-9780821839195
Quantità: 3 disponibili
Da: Rarewaves.com USA, London, LONDO, Regno Unito
Paperback. Condizione: New. illustrated Edition. Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards.The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincare recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. Codice articolo LU-9780821839195
Quantità: 3 disponibili
Da: Kennys Bookstore, Olney, MD, U.S.A.
Condizione: New. Describes billiards and their relation with differential geometry, classical mechanics, and geometrical optics. This book covers such topics as variational principles of billiard motion, and symplectic geometry of rays of light and integral geometry. It is suitable for students interested in ergodic theory and geometry. Series: Student Mathematical Library. Num Pages: 176 pages, Illustrations. BIC Classification: PBM; PBW; WSJZ. Category: (P) Professional & Vocational. Weight in Grams: 242. . 2005. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821839195
Quantità: 1 disponibili
Da: moluna, Greven, Germania
Condizione: New. Describes billiards and their relation with differential geometry, classical mechanics, and geometrical optics. This book covers such topics as variational principles of billiard motion, and symplectic geometry of rays of light and integral geometry. It is . Codice articolo 604045393
Quantità: 5 disponibili
Da: Revaluation Books, Exeter, Regno Unito
Paperback. Condizione: Brand New. illustrated edition. 176 pages. 8.30x5.50x0.40 inches. In Stock. Codice articolo __0821839195
Quantità: 1 disponibili
Da: THE SAINT BOOKSTORE, Southport, Regno Unito
Paperback / softback. Condizione: New. New copy - Usually dispatched within 4 working days. 272. Codice articolo B9780821839195
Quantità: 6 disponibili
Da: Majestic Books, Hounslow, Regno Unito
Condizione: New. pp. xi + 176 Illus. Codice articolo 5474944
Quantità: 3 disponibili