Articoli correlati a Geometry and Billiards
Sinossi
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.
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Geometry and Billiards (Student Mathematical Library)
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Condizione: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Codice articolo Z1-S-011-03454
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Geometry and Billiards (Student Mathematical Library,)
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Paperback. Condizione: Brand New. illustrated edition. 176 pages. 8.30x5.50x0.40 inches. In Stock. Codice articolo 0821839195
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Geometry and Billiards
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American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Condizione: As New. Unread book in perfect condition. Codice articolo 5879480
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Geometry and Billiards
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American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Condizione: As New. Unread book in perfect condition. Codice articolo 5879480
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Geometry and Billiards (Student Mathematical Library)
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Condizione: New. In English. Codice articolo ria9780821839195_new
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Geometry and Billiards
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American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Geometry and Billiards
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American Mathematical Society, US, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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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
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Geometry and Billiards
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American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Geometry and Billiards
Editore:
American Mathematical Society, US, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
Nuovo
Paperback
Da: Rarewaves.com UK, London, Regno Unito
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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
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