The Mathematics of Cellular Automata
The Mathematics of Cellular Automata
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Résumé
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. Exercises and labs end each chapter, covering a range of applications, both mathematical and physical.
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The Mathematics of Cellular Automata by Jane Hawkins
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.
Jane Hawkins, University of North Carolina at Chapel Hill, North Carolina.
| SKU | Non disponible |
| ISBN 13 | 9781470475376 |
| ISBN 10 | 1470475375 |
| Titre | The Mathematics of Cellular Automata |
| Auteur | Jane Hawkins |
| Série | Student Mathematical Library |
| État | Non disponible |
| Type de reliure | Paperback |
| Éditeur | American Mathematical Society |
| Année de publication | 2024-05-31 |
| Nombre de pages | 228 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |