Items related to Outer Billiards on Kites (AM-171) (Annals of Mathematics...
Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B. H. Neumann introduced this system in the 1950s, and J. Moser popularized it as a toy model for celestial mechanics. All along, the so-called Moser-Neumann question has been one of the central problems in the field. This question asks whether or not one can have an outer billiards system with an unbounded orbit. The Moser-Neumann question is an idealized version of the question of whether, because of small disturbances in its orbit, the Earth can break out of its orbit and fly away from the Sun. In Outer Billiards on Kites, Richard Schwartz presents his affirmative solution to the Moser-Neumann problem. He shows that an outer billiards system can have an unbounded orbit when defined relative to any irrational kite. A kite is a quadrilateral having a diagonal that is a line of bilateral symmetry. The kite is irrational if the other diagonal divides the quadrilateral into two triangles whose areas are not rationally related. In addition to solving the basic problem, Schwartz relates outer billiards on kites to such topics as Diophantine approximation, the modular group, self-similar sets, polytope exchange maps, profinite completions of the integers, and solenoids--connections that together allow for a fairly complete analysis of the dynamical system.
"synopsis" may belong to another edition of this title.
About the Author:
Richard Evan Schwartz is professor of mathematics at Brown University and the author of Spherical CR Geometry and Dehn Surgery (Princeton).
Review:
"This research is an exemplary sample of experimental mathematics."---Serge L. Tabachnikov, Mathematical Review
"About this title" may belong to another edition of this title.
- PublisherPrinceton University Press
- Publication date2009
- ISBN 10 0691142491
- ISBN 13 9780691142494
- BindingPaperback
- Number of pages320
Buy New
Learn more about this copy
US$ 13.01
Shipping:
FREE
Within U.S.A.
Top Search Results from the AbeBooks Marketplace
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies, 171)
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: Acceptable. Used: Acceptable Condition. Seller Inventory # 52GZZZ01RQ6R_ns
Buy Used
US$ 10.59
Convert currency
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies, 171)
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: Good. Used Good:Minor shelf wear. Seller Inventory # 52GZZZ01RTUP_ns
Buy Used
US$ 10.98
Convert currency
Stock Image
Outer Billiards on Kites.
Published by
Princeton.
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Softcover
Quantity: 11
Seller:
Rating
Book Description Condition: Used - Like New. 2009. Paperback. Fine. Seller Inventory # A34756
Buy Used
US$ 7.30
Convert currency
Stock Image
Outer Billiards on Kites.
Published by
Princeton.
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: Used - Very Good. 2009. Paperback. Some shelf-wear. Very Good. Seller Inventory # SON000001243
Buy Used
US$ 7.30
Convert currency
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies, 171)
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: VeryGood. Used Very Good:Minor shelf wear. Seller Inventory # 52GZZZ01MDIT_ns
Buy Used
US$ 11.37
Convert currency
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies, 171)
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: LikeNew. Used Like-New:May have Remainder Mark. Seller Inventory # 52GZZZ01MC4H_ns
Buy Used
US$ 11.76
Convert currency
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies (171))
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Paperback
Quantity: 1
Seller:
Rating
Book Description Paperback. Condition: Very Good. Very Good paperback with light shelfwear - NICE! Standard-sized. Seller Inventory # mon0000013337
Buy Used
US$ 6.98
Convert currency
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies, 171)
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
New
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: New. . Seller Inventory # 52GZZZ00CLIC_ns
Buy New
US$ 13.01
Convert currency
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies, 171)
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
New
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: New. . Seller Inventory # 5AUZZZ000FRY_ns
Buy New
US$ 13.01
Convert currency
Stock Image
Outer Billiards on Kites (AM-171) (Annals of Mathematics Studies, 171)
Published by
Princeton University Press
(2009)
ISBN 10: 0691142491
ISBN 13: 9780691142494
Used
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: Good. SHIPS FROM USA. Used books have different signs of use and do not include supplemental materials such as CDs, Dvds, Access Codes, charts or any other extra material. All used books might have various degrees of writing, highliting and wear and tear and possibly be an ex-library with the usual stickers and stamps. Dust Jackets are not guaranteed and when still present, they will have various degrees of tear and damage. All images are Stock Photos, not of the actual item. book. Seller Inventory # 23-0691142491-G
Buy Used
US$ 14.97
Convert currency