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＜電子ブック＞
Exercises in Cellular Automata and Groups / by Tullio Ceccherini-Silberstein, Michel Coornaert
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XVII, 627 p. 15 illus : online resource
著者標目	*Ceccherini-Silberstein, Tullio author Coornaert, Michel author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Dynamical systems LCSH:Computer science FREE:Algebra FREE:Dynamical Systems FREE:Computer Science Logic and Foundations of Programming
一般注記	1 Cellular Automata -- 2 Residually Finite Groups -- 3 Surjunctive Groups -- 4 Amenable Groups -- 5 The Garden of Eden Theorem -- 6 Finitely Generated Amenable Groups -- 7 Local Embeddability and Sofic Groups -- 8 Linear Cellular Automata This book complements the authors’ monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to geometry and topology, ring and module theory, automata theory and theoretical computer science. Each solution is detailed and entirely self-contained, in the sense that it only requires a standard undergraduate-level background in abstract algebra and general topology, together with results established in [CAG] and in previous exercises. It includes a wealth of gradually worked out examples and counterexamples presented here for the first time in textbook form. Additional comments provide some historical and bibliographical information, including an account of related recent developments and suggestions for further reading. The eight-chapter division from [CAG] is maintained. Each chapter begins with a summary of the maindefinitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use HTTP:URL=https://doi.org/10.1007/978-3-031-10391-9

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