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The Plaid Model
Af: Richard Evan Schwartz Engelsk Paperback
SPAR
kr 364
The Plaid Model
Af: Richard Evan Schwartz Engelsk Paperback
Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. The Plaid Model, which is a self-contained sequel to Richard Schwartz’s Outer Billiards on Kites, provides a combinatorial model for orbits of outer billiards on kites. Schwartz relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called “the plaid model,” has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics. The book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration.
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Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane moves around the outside of a convex shape according to a scheme that is reminiscent of ordinary billiards. The Plaid Model, which is a self-contained sequel to Richard Schwartz’s Outer Billiards on Kites, provides a combinatorial model for orbits of outer billiards on kites. Schwartz relates these orbits to such topics as polytope exchange transformations, renormalization, continued fractions, corner percolation, and the Truchet tile system. The combinatorial model, called “the plaid model,” has a self-similar structure that blends geometry and elementary number theory. The results were discovered through computer experimentation and it seems that the conclusions would be extremely difficult to reach through traditional mathematics. The book includes an extensive computer program that allows readers to explore the materials interactively and each theorem is accompanied by a computer demonstration.
Produktdetaljer
Sprog: Engelsk
Sider: 280
ISBN-13: 9780691181387
Indbinding: Paperback
Udgave:
ISBN-10: 0691181381
Kategori: Talteori
Udg. Dato: 19 feb 2019
Længde: 19mm
Bredde: 158mm
Højde: 234mm
Oplagsdato: 19 feb 2019
Forfatter(e): Richard Evan Schwartz
Forfatter(e) Richard Evan Schwartz


Kategori Talteori


Sprog Engelsk


Indbinding Paperback


Sider 280


Udgave


Længde 19mm


Bredde 158mm


Højde 234mm

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