A Guide to Penrose Tilings

D'Andrea, Francesco

A Guide to Penrose Tilings
  • 出版商: Springer
  • 出版日期: 2024-08-21
  • 售價: $2,510
  • 貴賓價: 9.5 折 $2,385
  • 語言: 英文
  • 頁數: 199
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031284305
  • ISBN-13: 9783031284304

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as recreational mathematics and soon attracted the interest of scientists for their possible application in the description of quasi-crystals. The purpose of this survey, illustrated with more than 200 figures, is to introduce the curious reader to this beautiful topic and be a reference for some proofs that are not easy to find in the literature. The volume covers many aspects of Penrose tilings, including the study, from the point of view of Connes' Noncommutative Geometry, of the space parameterizing these tilings.


商品描述(中文翻譯)

本書提供了一個初步的介紹，並附有詳細的證明，介紹了由羅傑·彭羅斯爵士在1970年代發現的著名平面鋪砌。平面的準周期鋪砌，其中彭羅斯鋪砌是最著名的例子，最初作為休閒數學，隨後因其在描述準晶體中的潛在應用而引起科學家的興趣。本書的目的在於用超過200幅插圖向好奇的讀者介紹這一美麗的主題，並作為一些在文獻中不易找到的證明的參考。該卷涵蓋了彭羅斯鋪砌的許多方面，包括從康奈爾的非交換幾何的角度研究這些鋪砌所參數化的空間。

作者簡介

Francesco D'Andrea has a master in Theoretical Physics (Univ. Sapienza of Rome) and a Ph.D. in Mathematics (SISSA, Trieste). He is currently an associate professor in Geometry at the University of Naples Federico II. In the past, he has been a junior research fellow at the Erwin Schroedinger Institute of Vienna, a postdoctoral researcher at the Catholic University of Louvain-La-Neuve, Belgium, a visiting professor at IMPAN, Warsaw (Simons Professorship), and at Penn State University, USA (Shapiro Visitor Program).

His main interests are in Connes' noncommutative geometry, C*-algebras, and differential geometry.


作者簡介(中文翻譯)

Francesco D'Andrea 擁有羅馬薩賓納大學的理論物理碩士學位及三年制斯的研究所的數學博士學位。他目前是那不勒斯費德里科二世大學的幾何學副教授。過去，他曾在維也納的厄爾文·薛丁格研究所擔任初級研究員，在比利時魯汶大學擔任博士後研究員，並在華沙的IMPAN（西蒙斯教授職位）及美國賓州州立大學（沙皮羅訪問計畫）擔任訪問教授。

他的主要研究興趣包括康奈斯的非交換幾何、C*-代數及微分幾何。

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