Exercises in Cellular Automata and Groups
暫譯: 細胞自動機與群的練習題
Ceccherini-Silberstein, Tullio, Coornaert, Michel, Grigorchuk, Rostislav I.
- 出版商: Springer
- 出版日期: 2024-11-02
- 售價: $2,200
- 貴賓價: 9.5 折 $2,090
- 語言: 英文
- 頁數: 627
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031103939
- ISBN-13: 9783031103933
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商品描述
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.
商品描述(中文翻譯)
本書是作者的專著《細胞自動機與群論》(Cellular Automata and Groups)[CAG](施普林格數學專著系列)的補充。它包含了超過600個在符號動力學和幾何群論中完全解答的習題,並與幾何學和拓撲學、環與模理論、自動機理論及理論計算機科學有關。每個解答都詳細且完全自足,僅需具備標準的本科抽象代數和一般拓撲學背景,以及在[CAG]和之前習題中建立的結果。書中包含大量逐步解釋的例子和反例,這些內容首次以教科書形式呈現。附加的評論提供了一些歷史和文獻資訊,包括相關的近期發展和進一步閱讀的建議。書中維持了[CAG]的八章劃分。每章開始時都會總結該章在[CAG]中包含的主要定義和結果。本書適合用於課堂教學或個人學習。
作者簡介
Tullio Ceccherini-Silberstein graduated from the University of Rome La Sapienza in 1990 and obtained his PhD in mathematics at the University of California at Los Angeles in 1994. Since 1997 he has been professor of Mathematical Analysis at the University of Sannio, Benevento (Italy). His main interests include harmonic and functional analysis, geometric and combinatorial group theory, ergodic theory and dynamical systems, and theoretical computer science. He is an editor of the journal Groups, Geometry, and Dynamics, published by the European Mathematical Society, and of the Bulletin of the Iranian Mathematical Society. He has published more than 90 research papers, 9 monographs, and 4 conference proceedings.
Professor Michel Coornaert taught mathematics at the University of Strasbourg from 1992 until 2021. His research interests are in geometry, topology, group theory and dynamical systems. He is the author of many Springer volumes, including Topological Dimension and Dynamical Systems (2015), Cellular Automata and Groups (2010), Symbolic Dynamics and Hyperbolic Groups (1993) and Géométrie et théorie des groupes (1990).
作者簡介(中文翻譯)
Tullio Ceccherini-Silberstein 於1990年畢業於羅馬大學(University of Rome La Sapienza),並於1994年在加州大學洛杉磯分校(University of California at Los Angeles)獲得數學博士學位。自1997年以來,他一直擔任意大利貝內文托(Benevento)桑尼奧大學(University of Sannio)的數學分析教授。他的主要研究興趣包括調和分析和泛函分析、幾何和組合群論、遍歷理論和動態系統,以及理論計算機科學。他是由歐洲數學學會出版的期刊Groups, Geometry, and Dynamics的編輯,以及Bulletin of the Iranian Mathematical Society的編輯。他已發表超過90篇研究論文、9本專著和4本會議論文集。
教授Michel Coornaert自1992年至2021年在斯特拉斯堡大學(University of Strasbourg)教授數學。他的研究興趣包括幾何學、拓撲學、群論和動態系統。他是多本Springer出版的書籍的作者,包括Topological Dimension and Dynamical Systems(2015年)、Cellular Automata and Groups(2010年)、Symbolic Dynamics and Hyperbolic Groups(1993年)和Géométrie et théorie des groupes(1990年)。