Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Richard Evan Schwartz 作者

Princeton University Press

譯者

2009-10-20 出版日期

312 頁數

USD 45.00 價格

Paperback

Annals of Mathematics Studies 叢書系列

9780691142494 圖書編碼

Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書圖書標籤: 數學

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發表於2024-11-12

Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書著者簡介

Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Outer Billiards on Kites (Annals of Mathematics Studies) 在線電子書圖書描述

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.

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