The Mathematics of Cellular Automata
Jane Hawkins : University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
| Softcover ISBN: | 978-1-4704-7537-6 |
| Product Code: | STML/108 |
| List Price: | $59.00 |
| Individual Price: | $47.20 |
| MAA Member Price: | $47.20 |
| Sale Price: | $35.40 |
| eBook ISBN: | 978-1-4704-7670-0 |
| Product Code: | STML/108.E |
| List Price: | $59.00 |
| Individual Price: | $47.20 |
| MAA Member Price: | $47.20 |
| Sale Price: | $35.40 |
| Softcover ISBN: | 978-1-4704-7537-6 |
| eBook:ISBN: | 978-1-4704-7670-0 |
| Product Code: | STML/108.B |
| List Price: | $118.00 $88.50 |
| MAA Member Price: | $94.40 $70.80 |
| Sale Price: | $70.80 $53.10 |
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The Mathematics of Cellular Automata
Jane Hawkins : University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
| Softcover ISBN: | 978-1-4704-7537-6 |
| Product Code: | STML/108 |
| List Price: | $59.00 |
| Individual Price: | $47.20 |
| MAA Member Price: | $47.20 |
| Sale Price: | $35.40 |
| eBook ISBN: | 978-1-4704-7670-0 |
| Product Code: | STML/108.E |
| List Price: | $59.00 |
| Individual Price: | $47.20 |
| MAA Member Price: | $47.20 |
| Sale Price: | $35.40 |
| Softcover ISBN: | 978-1-4704-7537-6 |
| eBookISBN: | 978-1-4704-7670-0 |
| Product Code: | STML/108.B |
| List Price: | $118.00 $88.50 |
| MAA Member Price: | $94.40 $70.80 |
| Sale Price: | $70.80 $53.10 |
Add to cart
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Book Details
Student Mathematical Library
Volume: 108;2024; 228 pp
MSC:Primary 37; 68
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.
Readership
Undergraduate students interested in an accessible introduction to dynamical systems, e.g. Conway's Game of Life.
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Table of Contents
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Chapters
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Introduction to symbolic dynamics and cellular automata
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Properties of symbol spaces
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Dynamics of CAs: Equicontinuity and attractors
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Dynamics and classification of cellular automata
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Surjectivity and the Garden of Eden theorem
-
Two-dimensional CAs and Conway’s Game of Life
-
Stochastic cellular automata
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Further directions
-
-
Additional Material
-
Preview Materials
-
Supplemental Materials
-
-
Requests
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Student Mathematical Library
Volume: 108;2024; 228 pp
MSC:Primary 37; 68
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.
Readership
Undergraduate students interested in an accessible introduction to dynamical systems, e.g. Conway's Game of Life.
-
Chapters
-
Introduction to symbolic dynamics and cellular automata
-
Properties of symbol spaces
-
Dynamics of CAs: Equicontinuity and attractors
-
Dynamics and classification of cellular automata
-
Surjectivity and the Garden of Eden theorem
-
Two-dimensional CAs and Conway’s Game of Life
-
Stochastic cellular automata
-
Further directions
-
Preview Materials
-
Supplemental Materials
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
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