The Plaid Model
Şub 2019 · Princeton University Press
E-kitap
280
Sayfa
family_home
Uygun
info
reportPuanlar ve yorumlar doğrulanmaz Daha Fazla Bilgi
Bu e-kitap hakkında
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.
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.
Yazar hakkında
Richard Evan Schwartz is the Chancellor’s Professor of Mathematics at Brown University. He is the author of Spherical CR Geometry and Dehn Surgery and Outer Billiards on Kites (both Princeton).
Bu e-kitaba puan verin
Düşüncelerinizi bizimle paylaşın.
Okuma bilgileri
Akıllı telefonlar ve tabletler
Android ve iPad/iPhone için Google Play Kitaplar uygulamasını yükleyin. Bu uygulama, hesabınızla otomatik olarak senkronize olur ve nerede olursanız olun çevrimiçi veya çevrimdışı olarak okumanıza olanak sağlar.
Dizüstü bilgisayarlar ve masaüstü bilgisayarlar
Bilgisayarınızın web tarayıcısını kullanarak Google Play'de satın alınan sesli kitapları dinleyebilirsiniz.
e-Okuyucular ve diğer cihazlar
Kobo eReader gibi e-mürekkep cihazlarında okumak için dosyayı indirip cihazınıza aktarmanız gerekir. Dosyaları desteklenen e-kitap okuyuculara aktarmak için lütfen ayrıntılı Yardım Merkezi talimatlarını uygulayın.
