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Exercises in cellular automata and groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Exercises in cellular automata and groupsby Tullio Ceccherini-Silberstein, Michel Coornaert ; foreword by Rostislav I. Grigorchuk.
作者:	Ceccherini-Silberstein, Tullio.
其他作者:	Coornaert, M.
出版者:	Cham :Springer International Publishing :2023.
面頁冊數:	xvii, 627 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Cellular automata.
電子資源:	https://doi.org/10.1007/978-3-031-10391-9
ISBN:	9783031103919$q(electronic bk.)

Exercises in cellular automata and groups
Ceccherini-Silberstein, Tullio.

Exercises in cellular automata and groups[electronic resource] /by Tullio Ceccherini-Silberstein, Michel Coornaert ; foreword by Rostislav I. Grigorchuk. - Cham :Springer International Publishing :2023. - xvii, 627 p. :ill., digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..

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 main definitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use.

ISBN: 9783031103919$q(electronic bk.)

Standard No.: 10.1007/978-3-031-10391-9doiSubjects--Topical Terms:

211503
Cellular automata.

LC Class. No.: QA267.5.C45

Dewey Class. No.: 511.35

Exercises in cellular automata and groups
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505 0 $a 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.
520 $a 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 main definitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use.
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650 2 4 $a Computer Science Logic and Foundations of Programming. $3 913141
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