001447971 000__ 05985cam\a2200625Ii\4500 001447971 001__ 1447971 001447971 003__ OCoLC 001447971 005__ 20230310004215.0 001447971 006__ m\\\\\o\\d\\\\\\\\ 001447971 007__ cr\un\nnnunnun 001447971 008__ 220707s2022\\\\sz\a\\\\o\\\\\010\0deng\d 001447971 019__ $$a1334527533 001447971 020__ $$a9783031039867$$q(electronic bk.) 001447971 020__ $$a3031039866$$q(electronic bk.) 001447971 020__ $$z9783031039850$$q(print) 001447971 020__ $$z3031039858 001447971 0247_ $$a10.1007/978-3-031-03986-7$$2doi 001447971 035__ $$aSP(OCoLC)1334646770 001447971 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dOCLCQ 001447971 049__ $$aISEA 001447971 050_4 $$aQA267.5.C45 001447971 08204 $$a511.3/5$$223/eng/20220707 001447971 24504 $$aThe mathematical artist :$$ba tribute to John Horton Conway /$$cSukanta Das, Souvik Roy, Kamalika Bhattacharjee, editors. 001447971 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022. 001447971 300__ $$a1 online resource (xviii, 212 pages) :$$billustrations (some color). 001447971 336__ $$atext$$btxt$$2rdacontent 001447971 337__ $$acomputer$$bc$$2rdamedia 001447971 338__ $$aonline resource$$bcr$$2rdacarrier 001447971 4901_ $$aEmergence, complexity and computation,$$x2194-7295 ;$$vvolume 45 001447971 5050_ $$aIntro -- Preface -- John Horton Conway -- Contents -- Contributors -- Transcript from Conway Memorial Lecture Series -- John Horton Conway: A Master of All Trades -- 1 A Personal Remembrance -- 2 Interaction with Robert Wilson -- Two Different Directions: John Conway and Stephen Wolfram -- 1 Conway-The Mathematical Engineer -- 2 Program as Model for the World -- 3 Computational Equivalence -- 4 Cellular Automata and Physics -- 5 Multiway Graphs -- 6 Limits of Physics and Mathematics -- 7 Interaction with Stephen Wolfram -- 8 Concluding Remarks 001447971 5058_ $$aConway Memorial Series: The Mathematical Artist of Play -- 1 A Personal Encounter -- 2 The Nim Game -- 3 Beyond Combinatorial Game Theory -- 4 Interaction with R. Ramanujam -- Invited Articles -- Some Notes About the Game of Life Cellular Automaton -- 1 The Game of Life -- 2 The Game of Life and Its Connection in One Dimension -- 3 Final Notes -- References -- Gliders in the Game of Life and in a Reversible Cellular Automaton -- 1 Game of Life and the Glider -- 1.1 Irreversibility of the Game of Life (GoL) -- 1.2 The Glider, Spaceships and a Glider Gun -- 1.3 Controlling a Glider 001447971 5058_ $$a1.4 Collisions of Gliders -- 1.5 Collisions of Gliders with a Block -- 2 Elementary Triangular Partitioned Cellular Automaton -- 2.1 Triangular Partitioned Cellular Automaton -- 2.2 Elementary Triangular Partitioned Cellular Automaton (ETPCA) -- 2.3 Reversible ETPCA and Conservative ETPCA -- 2.4 Dualities in ETPCAs -- 2.5 Time-Symmetry in Reversible ETPCAs -- 3 The Glider in the Reversible ETPCA0347 -- 3.1 Evolution from a One-Particle Pattern -- 3.2 The Glider and Useful Patterns -- 3.3 Controlling a Glider -- 3.4 Collisions of Gliders -- 3.5 Collisions of a Glider with a Fin 001447971 5058_ $$a4 Composing Reversible Computers in ETPCA 0347 Using a Glider -- 4.1 Making a Reversible Logic Element with Memory -- 4.2 Making Reversible Turing Machines -- 5 Concluding Remarks and Open Problems -- References -- From Multiple to Single Updates Per Cell in Elementary Cellular Automata with Neighbourhood Based Priority -- 1 Introduction -- 2 Fundamentals -- 2.1 Definitions -- 2.2 Independent Neighbourhood Updates and Active State Transitions -- 3 From Multiple to Single Updates Per Cell Per Iteration -- 3.1 Overview of the Idea -- 3.2 Formalisation 001447971 5058_ $$a4 Analysis of the Elementary Space with Neighbourhood Based Priority Asynchronism with Single Updates Per Cell -- 4.1 Dynamical Equivalence Classes -- 4.2 Identifying Dynamical Classes -- 4.3 An Example of the Full Process -- 5 Concluding Remarks -- References -- Game of Life, Athenian Democracy and Computation -- 1 Introduction -- 2 Game-of-Life and Direct Democracy -- 3 Athenian Democracy -- 4 A Model of Computation -- 5 Cellular Automata with Memory -- 6 Conclusion -- References -- Algorithmic Information Dynamics of Cellular Automata -- 1 Introduction -- 2 Cellular Automata 001447971 506__ $$aAccess limited to authorized users. 001447971 520__ $$aThis book brings together the impact of Prof. John Horton Conway, the playful and legendary mathematician's wide range of contributions in science which includes research areas -- Game of Life in cellular automata, theory of finite groups, knot theory, number theory, combinatorial game theory, and coding theory. It contains transcripts where some eminent scientists have shared their first-hand experience of interacting with Conway, as well as some invited research articles from the experts focusing on Game of Life, cellular automata, and the diverse research directions that started with Conway's Game of Life. The book paints a portrait of Conway's research life and philosophical direction in mathematics and is of interest to whoever wants to explore his contribution to the history and philosophy of mathematics and computer science. It is designed as a small tribute to Prof. Conway whom we lost on April 11, 2020. 001447971 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 7, 2022). 001447971 60010 $$aConway, John H.$$q(John Horton) 001447971 650_0 $$aCellular automata. 001447971 650_0 $$aGame theory. 001447971 650_0 $$aMathematicians$$vBiography. 001447971 655_0 $$aElectronic books. 001447971 655_7 $$aBiographies.$$2fast$$0(OCoLC)fst01919896 001447971 7001_ $$aConway, John H.$$q(John Horton),$$ehonouree. 001447971 7001_ $$aDas, Sukanta,$$eeditor. 001447971 7001_ $$aRoy, Souvik,$$eeditor. 001447971 7001_ $$aBhattacharjee, Kamalika,$$eeditor. 001447971 77608 $$iPrint version: $$z3031039858$$z9783031039850$$w(OCoLC)1304813375 001447971 830_0 $$aEmergence, complexity and computation ;$$v45.$$x2194-7295 001447971 852__ $$bebk 001447971 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-03986-7$$zOnline Access$$91397441.1 001447971 909CO $$ooai:library.usi.edu:1447971$$pGLOBAL_SET 001447971 980__ $$aBIB 001447971 980__ $$aEBOOK 001447971 982__ $$aEbook 001447971 983__ $$aOnline 001447971 994__ $$a92$$bISE