Items related to Geometry and Billiards (Student Mathematical Library)
Synopsis
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.
"synopsis" may belong to another edition of this title.
Search results for Geometry and Billiards (Student Mathematical Library)
Stock Image
Geometry and Billiards (Student Mathematical Library, 30, Band 30)
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
Used
paperback
Seller: Studibuch, Stuttgart, Germany
Seller rating 5 out of 5 stars
paperback. Condition: Gut. 176 Seiten; 9780821839195.3 Gewicht in Gramm: 500. Seller Inventory # 965391
Quantity: 1 available
Stock Image
Geometry and Billiards (Student Mathematical Library) (Student Mathematical Library, 30)
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
Used
Soft cover
Seller: Yes Books, Portland, ME, U.S.A.
Seller rating 4 out of 5 stars
Soft cover. Condition: Good. No Jacket. Very light moisture damage on first ten pages. Cover worn around edges. Still a good copy. Clean and unmarked. 176 pages. Seller Inventory # 017607
Quantity: 1 available
Seller Image
Geometry and Billiards
Published by
American Mathematical Society, US, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Paperback
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: 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. Seller Inventory # LU-9780821839195
Quantity: 3 available
Stock Image
Geometry and Billiards
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Softcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: 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. . . . . Seller Inventory # V9780821839195
Quantity: 1 available
Stock Image
Geometry and Billiards (Student Mathematical Library,)
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Paperback
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. illustrated edition. 176 pages. 8.30x5.50x0.40 inches. In Stock. Seller Inventory # __0821839195
Quantity: 1 available
Stock Image
Geometry and Billiards
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Softcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # V9780821839195
Quantity: 1 available
Stock Image
Geometry and Billiards
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Softcover
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. pp. xi + 176 Illus. Seller Inventory # 5474944
Quantity: 3 available
Stock Image
Geometry and Billiards
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days. 272. Seller Inventory # B9780821839195
Quantity: 6 available
Stock Image
Geometry and Billiards
Published by
American Mathematical Society, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Softcover
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. xi + 176 Index. Seller Inventory # 262372959
Quantity: 3 available
Seller Image
Geometry and Billiards
Published by
American Mathematical Society, US, 2005
ISBN 10: 0821839195
ISBN 13: 9780821839195
New
Paperback
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: 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. Seller Inventory # LU-9780821839195
Quantity: 3 available