Author: Robert A. Hearn
Publisher: CRC Press
ISBN: 1439865051
Category : Mathematics
Languages : en
Pages : 242
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Book Description
The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation-quite different from the usual models of automata and circuits-offering a new way of thinking about computation. The appen
Author: Robert A. Hearn
Publisher: A K Peters/CRC Press
ISBN: 9781568813226
Category : Mathematics
Languages : en
Pages : 250
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Book Description
The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation—quite different from the usual models of automata and circuits—offering a new way of thinking about computation. The appendices provide a substantial survey of all known results in the field of game complexity, serving as a reference guide for readers interested in the computational complexity of particular games, or interested in open problems about such complexities.
Author: Dragomir Radev
Publisher: Springer Science & Business Media
ISBN: 3642343724
Category : Language Arts & Disciplines
Languages : en
Pages : 208
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Book Description
This is the second volume of a unique collection that brings together the best English-language problems created for students competing in the Computational Linguistics Olympiad. These problems are representative of the diverse areas presented in the competition and designed with three principles in mind: · To challenge the student analytically, without requiring any explicit knowledge or experience in linguistics or computer science; · To expose the student to the different kinds of reasoning required when encountering a new phenomenon in a language, both as a theoretical topic and as an applied problem; · To foster the natural curiosity students have about the workings of their own language, as well as to introduce them to the beauty and structure of other languages; · To learn about the models and techniques used by computers to understand human language. Aside from being a fun intellectual challenge, the Olympiad mimics the skills used by researchers and scholars in the field of computational linguistics. In an increasingly global economy where businesses operate across borders and languages, having a strong pool of computational linguists is a competitive advantage, and an important component to both security and growth in the 21st century. This collection of problems is a wonderful general introduction to the field of linguistics through the analytic problem solving technique. "A fantastic collection of problems for anyone who is curious about how human language works! These books take serious scientific questions and present them in a fun, accessible way. Readers exercise their logical thinking capabilities while learning about a wide range of human languages, linguistic phenomena, and computational models. " - Kevin Knight, USC Information Sciences Institute
Author: Barry Cipra
Publisher: CRC Press
ISBN: 1439864799
Category : Mathematics
Languages : en
Pages : 309
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Book Description
The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume---virtually a list of Who's Who in the World of Puzzles---trace their inspiration to Martin Gardner's puzzle column in Scientifi
Author: John D. Beasley
Publisher: Courier Corporation
ISBN: 048615162X
Category : Mathematics
Languages : en
Pages : 334
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Book Description
"Mind-exercising and thought-provoking."—New Scientist If playing games is natural for humans, analyzing games is equally natural for mathematicians. Even the simplest of games involves the fundamentals of mathematics, such as figuring out the best move or the odds of a certain chance event. This entertaining and wide-ranging guide demonstrates how simple mathematical analysis can throw unexpected light on games of every type—games of chance, games of skill, games of chance and skill, and automatic games. Just how random is a card shuffle or a throw of the dice? Is bluffing a valid poker strategy? How can you tell if a puzzle is unsolvable? How large a role does luck play in games like golf and soccer? This book examines each of these issues and many others, along with the general principles behind such classic puzzles as peg solitaire and Rubik's cube. Lucid, instructive, and full of surprises, it will fascinate mathematicians and gamesters alike.
Author: Peter Winkler
Publisher: CRC Press
ISBN: 0429557973
Category : Mathematics
Languages : en
Pages : 403
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Book Description
Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.
Author: J. J. Clessa
Publisher: Courier Corporation
ISBN: 9780486291925
Category : Games & Activities
Languages : en
Pages : 170
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Book Description
Treasury of 135 bafflers (70 "quickies" and 65 "micropuzzles") specially designed for computer hobbyists. Puzzles range from relatively simple exercises in logic to daunting mathematical brainteasers. Although a computer is helpful, many can be solved with pocket calculator, pen-and-paper or just plain brain-power. Introduction. Answers.
Author: David G. Wells
Publisher: Cambridge University Press
ISBN: 1107024609
Category : Games & Activities
Languages : en
Pages : 257
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Book Description
A unique book providing a tour through the fascinating connections between mathematics and games.
Author: Erik D. Demaine
Publisher: Cambridge University Press
ISBN: 1107394090
Category : Computers
Languages : en
Pages : 388
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Book Description
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Author:
Publisher: Remedia Publications
ISBN: 9781596396814
Category :
Languages : en
Pages : 28
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Book Description
