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Cellular Automata: A Discrete View of the World (Hardcover)
暫譯: 細胞自動機:世界的離散視角 (精裝版)

Joel L. Schiff

  • 出版商: Wiley
  • 出版日期: 2007-12-01
  • 定價: $4,650
  • 售價: 9.5$4,418
  • 語言: 英文
  • 頁數: 272
  • 裝訂: Hardcover
  • ISBN: 047016879X
  • ISBN-13: 9780470168790
  • 相關分類: 物理學 Physics經濟學 Economy
  • 立即出貨 (庫存=1)

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商品描述

An accessible and multidisciplinaryintroduction to cellular automata

As the applicability of cellular automata broadens and technology advances, there is a need for a concise, yet thorough, resource that lays the foundation of key cellularautomata rules and applications. In recent years, Stephen Wolfram's A New Kind of Science has brought the modeling power that lies in cellular automata to the attentionof the scientific world, and now, Cellular Automata: A Discrete View of the World presents all the depth, analysis, and applicability of the classic Wolfram text in a straightforward, introductory manner. This book offers an introduction to cellular automata as a constructive method for modeling complex systems where patterns of self-organization arising from simple rules are revealed in phenomena that exist across a wide array of subject areas, including mathematics, physics, economics, and the social sciences.

The book begins with a preliminary introduction to cellular automata, including a brief history of the topic along with coverage of sub-topics such as randomness, dimension, information, entropy, and fractals. The author then provides a complete discussion of dynamical systems and chaos due to their close connection with cellular automata and includes chapters that focus exclusively on one- and two-dimensional cellular automata. The next and most fascinating area of discussion is the application of these types of cellular automata in order to understand the complex behavior that occurs in natural phenomena. Finally, the continually evolving topic of complexity is discussed with a focus on how to properly define, identify, and marvel at its manifestations in various environments.

The author's focus on the most important principles of cellular automata, combined with his ability to present complex material in an easy-to-follow style, makes this book a very approachable and inclusive source for understanding the concepts and applications of cellular automata. The highly visual nature of the subject is accented with over 200 illustrations, including an eight-page color insert, which provide vivid representations of the cellular automata under discussion. Readers also have the opportunity to follow and understand the models depicted throughout the text and create their own cellular automata using Java applets and simple computer code, which are available via the book's FTP site. This book serves as a valuable resource for undergraduate and graduate students in the physical, biological, and social sciences and may also be of interest to any reader with a scientific or basic mathematical background.

商品描述(中文翻譯)

一本可接觸且跨學科的細胞自動機入門書籍

隨著細胞自動機的應用範圍擴大及技術的進步,市場上需要一本簡明而全面的資源,以奠定細胞自動機的關鍵規則和應用的基礎。近年來,Stephen Wolfram 的《新科學》將細胞自動機所具備的建模能力帶入科學界的視野,而《細胞自動機:世界的離散視角》則以直接且入門的方式呈現了這本經典 Wolfram 作品的深度、分析和應用。本書介紹了細胞自動機作為一種建構性方法,用於建模複雜系統,揭示了從簡單規則中產生的自我組織模式在數學、物理學、經濟學和社會科學等多個領域中存在的現象。

本書首先對細胞自動機進行初步介紹,包括該主題的簡要歷史,以及隨機性、維度、信息、熵和分形等子主題的涵蓋。作者接著全面討論了動態系統和混沌,因為它們與細胞自動機有著密切的聯繫,並包括專門聚焦於一維和二維細胞自動機的章節。接下來,最引人入勝的討論領域是這些類型的細胞自動機在理解自然現象中所表現出的複雜行為的應用。最後,持續演變的複雜性主題被討論,重點在於如何正確定義、識別並驚嘆於其在各種環境中的表現。

作者專注於細胞自動機最重要的原則,並結合其以易於理解的風格呈現複雜材料的能力,使本書成為理解細胞自動機概念和應用的非常可接觸且包容的資源。該主題的高度視覺化特性通過超過 200 幅插圖得以強調,包括一個八頁的彩色插頁,生動地展示了正在討論的細胞自動機。讀者還有機會跟隨並理解文本中描繪的模型,並使用 Java 小應用程式和簡單的計算機代碼創建自己的細胞自動機,這些資源可通過本書的 FTP 網站獲得。本書對於物理學、生物學和社會科學的本科生和研究生來說是一本寶貴的資源,對於任何具有科學或基本數學背景的讀者也可能會感興趣。