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The mathematics of cellular automata /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The mathematics of cellular automata /Jane Hawkins.
作者:	Hawkins, Jane Margaret,
出版者:	Providence, Rhode Island :American Mathematical Society,c2024.
面頁冊數:	xv, 228 p. :ill. (chiefly col.) ;22 cm.
標題:	Cellular automata.
ISBN:	9781470475376 (pbk.) :

The mathematics of cellular automata /
Hawkins, Jane Margaret,1954-

The mathematics of cellular automata /Jane Hawkins. - Providence, Rhode Island :American Mathematical Society,c2024. - xv, 228 p. :ill. (chiefly col.) ;22 cm. - Student mathematical library ;volume 108. - Student mathematical library ;v. 2..

Includes bibliographical references (p. 223-226) and index.

Introduction to Symbolic Dynamics and Cellular Automata --Chapter 1.

This textbook offers a rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing phenomena, inviting undergraduates to step into the rich field of symbolic dynamics.Beginning with a brief history, the first half of the book establishes the mathematical foundations of cellular automata. After recapping the essentials from advanced calculus, the chapters that follow introduce symbolic spaces, equicontinuity, and attractors. More advanced topics include the Garden of Eden theorem and Conway's Game of Life, and a chapter on stochastic CA showcases a model of virus spread. Exercises and labs end each chapter, covering a range of applications, both mathematical and physical.Designed for undergraduates studying mathematics and related areas, the text provides ample opportunities for end-of-semester projects or further study. Computer use for the labs is largely optional, providing flexibility for different preferences and resources. Knowledge of advanced calculus and linear algebra is essential, while a course in real analysis would be ideal. --

ISBN: 9781470475376 (pbk.) :NT$1699

LCCN: 2023053399Subjects--Topical Terms:

211503
Cellular automata.

LC Class. No.: QA267.5.C45 / H39 2024

Dewey Class. No.: 511.3/5

The mathematics of cellular automata /
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020 $a 1470475375 (pbk.)
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100 1 $a Hawkins, Jane Margaret, $d 1954- $e author. $3 989538
245 1 4 $a The mathematics of cellular automata / $c Jane Hawkins.
260 $a Providence, Rhode Island : $b American Mathematical Society, $c c2024.
300 $a xv, 228 p. : $b ill. (chiefly col.) ; $c 22 cm.
490 1 $a Student mathematical library ; $v volume 108
504 $a Includes bibliographical references (p. 223-226) and index.
505 0 0 $g Chapter 1. $t Introduction to Symbolic Dynamics and Cellular Automata -- $g Chapter 2. $t Properties of Symbol Spaces -- 2.1. Symbol spaces for cellular automata -- $g Chapter 3. $t Dynamics of CAs: Equicontinuity and attractors -- $g Chapter 4. $t Dynamics and Classification of Cellular Automata -- $g Chapter 5. $t Surjectivity and the Garden of Eden Theorem -- $g Chapter 6. $t Two-dimensional CAs and Conway's Game of Life -- $g Chapter 7. $t Stochastic Cellular Automata -- $g Chapter 8. $t Further directions.
520 $a This textbook offers a rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing phenomena, inviting undergraduates to step into the rich field of symbolic dynamics.Beginning with a brief history, the first half of the book establishes the mathematical foundations of cellular automata. After recapping the essentials from advanced calculus, the chapters that follow introduce symbolic spaces, equicontinuity, and attractors. More advanced topics include the Garden of Eden theorem and Conway's Game of Life, and a chapter on stochastic CA showcases a model of virus spread. Exercises and labs end each chapter, covering a range of applications, both mathematical and physical.Designed for undergraduates studying mathematics and related areas, the text provides ample opportunities for end-of-semester projects or further study. Computer use for the labs is largely optional, providing flexibility for different preferences and resources. Knowledge of advanced calculus and linear algebra is essential, while a course in real analysis would be ideal. -- $c Provided by publisher.
650 0 $a Cellular automata. $3 211503
830 0 $a Student mathematical library ; $v v. 2. $3 435572