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020			_a9789349750647
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a510.5 _bHAW-M
100			_aHawkins, Jane
245			_aMathematics of cellular automata
260			_aIndia : _bUniversities Press, _c2025.
300			_axv, 228p. : _bill. ; _c22 cm
490			_aStudent mathematical library, _vv. 108 _x1520-9121 ;
504			_aIncludes bibliographical references and index.
520			_aThis 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.
521			_aReadership: Undergraduate students interested in an accessible introduction to dynamical systems, e.g. Conway's Game of Life.
650			_aCellular automata
650			_aDynamical systems and ergodic theory _xTopological dynamics _xCellular automata
650			_aDynamical systems and ergodic theory _xTopological dynamics _xSymbolic dynamics
650			_aComputer science _xTheory of computing _xCellular automata
650			_aDynamical systems and ergodic theory _xLow-dimensional dynamical systems
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-108-prev.pdf?_gl=1*1lgzrra*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAyMTk3MDQkbzMkZzEkdDE3NTAyMjEyNzMkajU1JGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/211841286-the-mathematics-of-cellular-automata?ref=nav_sb_ss_1_13#CommunityReviews
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