{"product_id":"cellular-automata-and-groups-in-depth-mathematical","title":"Cellular Automata and Groups - In-depth Mathematical","description":"\u003cp\u003eIn this review of Cellular Automata and Groups the authors present a self-contained, rigorous treatment aimed at researchers and advanced students; the single biggest reason to buy is its comprehensive connection of \u003cstrong\u003ecellular automata\u003c\/strong\u003e theory to modern group theory and symbolic dynamics. The book reads like a reference and a graduate text combined: it traces classical results such as the Garden of Eden theorem and the Gromov-Weiss surjunctivity theorem while offering extensive exercises and appendices that make it usable for self-study or a seminar course.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eSelf-contained exposition:\u003c\/strong\u003e The text provides full proofs and background so readers do not need to assemble scattered references to follow the main arguments.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConnections to group theory:\u003c\/strong\u003e The book explores deep links between cellular automata and recent developments in geometric group theory, giving context to abstract results.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eImportant theorems covered:\u003c\/strong\u003e Readers get careful treatments of the Garden of Eden theorem and the Gromov-Weiss surjunctivity theorem with clear statements and proofs.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eExtensive exercises:\u003c\/strong\u003e More than 300 exercises let students test understanding and develop technical skill with a wide range of problems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eTen appendices:\u003c\/strong\u003e The appendices collect supplementary material so the main chapters remain focused while necessary background is easily accessible.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThe book is best for graduate students, researchers, and advanced undergraduates with a strong interest in \u003cstrong\u003emathematical foundations\u003c\/strong\u003e of computation, symbolic dynamics, or geometric group theory; it works well as a seminar text or a reference for specialists. Instructors looking for a compact course book will appreciate the exercises and appendices that support classroom use.\u003c\/p\u003e\n\u003cp\u003eLess suitable are casual readers or those seeking applied programming tutorials: the emphasis is theoretical and proof-based, so readers without prior exposure to group theory or formal mathematics may prefer more introductory texts first.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eComprehensive, self-contained proofs that make advanced results accessible to motivated readers.\u003c\/li\u003e\n\u003cli\u003eStrong synthesis of topics connecting \u003cstrong\u003esymbolic dynamics\u003c\/strong\u003e and group-theoretic methods in a single volume.\u003c\/li\u003e\n\u003cli\u003eAbundant exercises and ten appendices offer long-term pedagogical value and reference utility.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe material is quite abstract and requires substantial mathematical background to follow comfortably.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eCellular Automata and Groups\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSpringer Monographs in Mathematics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eTullio Ceccherini-Silberstein, Michel Coornaert\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eContent focus\u003c\/td\u003e\n\u003ctd\u003eTheory of cellular automata on groups, symbolic dynamics, geometric group theory\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eNotable topics\u003c\/td\u003e\n\u003ctd\u003eGarden of Eden theorem; Gromov-Weiss surjunctivity theorem; Kaplansky conjecture solution for sofic groups\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eExtras\u003c\/td\u003e\n\u003ctd\u003e10 appendices and more than 300 exercises\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eCellular Automata and Groups is a rigorous, high-value resource for advanced students and researchers who need a unified treatment of cellular automata in a group-theoretic context; its full proofs, extensive exercises, and appendices make it a durable reference despite its demanding level.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for a graduate course?\u003c\/strong\u003e\u003cbr\u003eYes. The self-contained chapters, exercises, and appendices make it well suited for a graduate seminar or an advanced course in mathematical dynamics or group theory.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes it cover applications or computational examples?\u003c\/strong\u003e\u003cbr\u003eThe emphasis is on theoretical foundations and proofs rather than hands-on programming; readers seeking applied tutorials should supplement it with computational sources.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDo I need prior background?\u003c\/strong\u003e\u003cbr\u003eA solid background in group theory and formal mathematics is recommended to fully benefit from the material.\u003c\/p\u003e","brand":"Tullio Ceccherini-Silberstein, Michel Coornaert","offers":[{"title":"Default Title","offer_id":48241559732443,"sku":"3642264751","price":119.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61ruDcRV9kL._SL1255.jpg?v=1776265577","url":"https:\/\/gearmusthave.com\/products\/cellular-automata-and-groups-in-depth-mathematical","provider":"GearMustHave","version":"1.0","type":"link"}