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"... la théorie des noeuds, dont les brillants débuts d'il y a cent trente ans comme théorie physique de la matière furent marqués par un échec retentissant, s'est ensuite dévéloppée grâce aux effort répétés des mathématiciens, sans autre motivation que leur curiosité intellectuelle."
Knot theory --- Low-dimensional topology --- Mathematics --- Algebraic topology --- Combinatorial topology --- Topologie algébrique --- Topological manifolds --- Topologie combinatoire --- Noeuds, Théorie des --- Mathématiques --- Variétés topologiques. --- History --- Histoire --- Kelvin, William Thomson, --- Alexander, James W., --- Reidemeister, Kurt, --- Schubert, Horst, --- Conway, John H. --- Kauffman, Louis H., --- Vasilʹev, V. A., --- Kelvin, William Thomson --- Alexander, James, --- Reidemeister, Kurt --- Schubert, Horst --- Conway, John Horton --- Kauffman, Louis H. --- Vassiliev, V. A.,
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Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.
Polyominoes. --- Combinatorial designs and configurations --- Ashbacher, Charles. --- Bird, David. --- Burnside, William. --- Conway, John H. --- Dahlke, Karl A. --- Doig, Alison. --- Earnshaw, Spencer. --- Eden, Murray. --- Fletcher, John G. --- Fraenkel, Aviezri. --- Gale, David. --- Gordon, Basil. --- Harary, Frank. --- Haselgrove, Jenifer. --- Jones, Kathy. --- Looger, Loren. --- Lunnon, W. F. --- Manvel, Bennet. --- Moore, E. F. --- Orman, Hilarie. --- Pascal, Blaise. --- Patton, W. E. --- Reid, Michael. --- Rothschild, Bruce. --- Satterfield, Wade. --- Stewart, Ian. --- Taylor, Herbert. --- Vancil, Andrew. --- Verbakel, Jan. --- Wang, Hao. --- Weyl, Hermann. --- Yoshigahara, Nob.
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This 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.
Cellular automata. --- Game theory. --- Mathematicians. --- Scientists --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Computers, Iterative circuit --- Iterative circuit computers --- Structures, Tessellation (Automata) --- Tessellation structures (Automata) --- Parallel processing (Electronic computers) --- Pattern recognition systems --- Sequential machine theory --- Autòmats cel·lulars --- Teoria de jocs --- Matemàtics --- Conway, John H. (John Horton) --- Científics --- Dones matemàtiques --- Matemàtica --- Presa de decisions (Estadística) --- Jocs cooperatius (Matemàtica) --- Jocs d'atzar (Matemàtica) --- Jocs d'estratègia (Matemàtica) --- Jocs diferencials --- Jocs no cooperatius (Matemàtica) --- Presa de decisions --- Processament en paral·lel (Ordinadors) --- Reconeixement de formes (Informàtica) --- Intel·ligència col·lectiva --- Engineering mathematics. --- Engineering --- Dynamics. --- Nonlinear theories. --- Group theory. --- Number theory. --- Mathematical and Computational Engineering Applications. --- Applied Dynamical Systems. --- Group Theory and Generalizations. --- Number Theory. --- Data processing. --- Number study --- Numbers, Theory of --- Algebra --- Groups, Theory of --- Substitutions (Mathematics) --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Engineering analysis
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