Articoli correlati a Geometry and Billiards
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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.
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Geometry and Billiards (Student Mathematical Library) (Student Mathematical Library, 30)
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Soft cover
Da: Yes Books, Portland, ME, U.S.A.
Valutazione del venditore 4 su 5 stelle
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
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Geometry and Billiards (Student Mathematical Library) (Student Mathematical Library, 30)
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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paperback
Da: HPB-Red, Dallas, TX, U.S.A.
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paperback. Condizione: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_433764690
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Geometry and Billiards
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Da: GreatBookPrices, Columbia, MD, U.S.A.
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Condizione: As New. Unread book in perfect condition. Codice articolo 5879480
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Geometry and Billiards
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Da: GreatBookPrices, Columbia, MD, U.S.A.
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Condizione: New. Codice articolo 5879480-n
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Geometry and Billiards
Editore:
American Mathematical Society, US, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Paperback
Da: Rarewaves.com USA, London, LONDO, 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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Geometry and Billiards
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
Nuovo
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Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Valutazione del venditore 5 su 5 stelle
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
Foto dell'editore
Geometry and Billiards
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
Nuovo
Brossura
Da: Kennys Bookstore, Olney, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
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
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Geometry and Billiards
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
Nuovo
Brossura
Da: Majestic Books, Hounslow, Regno Unito
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Condizione: New. pp. xi + 176 Illus. Codice articolo 5474944
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Geometry and Billiards
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
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Da: GreatBookPricesUK, Woodford Green, Regno Unito
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Condizione: As New. Unread book in perfect condition. Codice articolo 5879480
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Immagini fornite dal venditore
Geometry and Billiards
Editore:
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
Nuovo
Brossura
Da: GreatBookPricesUK, Woodford Green, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 5879480-n
Quantità: 6 disponibili