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Author: Robert A. Hearn Publisher: CRC Press ISBN: 1439865051 Category : Mathematics Languages : en Pages : 250
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: CRC Press ISBN: 1439865051 Category : Mathematics Languages : en Pages : 250
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: Jason Rosenhouse Publisher: Princeton University Press ISBN: 0691174075 Category : Computers Languages : en Pages : 348
Book Description
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation Logic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreational activities, but they also share deep foundations in mathematical logic and are worthy of serious intellectual inquiry. Games for Your Mind explores the history and future of logic puzzles while enabling you to test your skill against a variety of puzzles yourself. In this informative and entertaining book, Jason Rosenhouse begins by introducing readers to logic and logic puzzles and goes on to reveal the rich history of these puzzles. He shows how Carroll's puzzles presented Aristotelian logic as a game for children, yet also informed his scholarly work on logic. He reveals how another pioneer of logic puzzles, Raymond Smullyan, drew on classic puzzles about liars and truthtellers to illustrate Kurt Gödel's theorems and illuminate profound questions in mathematical logic. Rosenhouse then presents a new vision for the future of logic puzzles based on nonclassical logic, which is used today in computer science and automated reasoning to manipulate large and sometimes contradictory sets of data. Featuring a wealth of sample puzzles ranging from simple to extremely challenging, this lively and engaging book brings together many of the most ingenious puzzles ever devised, including the "Hardest Logic Puzzle Ever," metapuzzles, paradoxes, and the logic puzzles in detective stories.
Author: Robert Aubrey Hearn Publisher: ISBN: Category : Languages : en Pages : 306
Book Description
(Cont.) Some of these have been well-known open problems for some time. For other games, including Minesweeper, the Warehouseman's Problem, Sokoban, and Rush Hour, I either strengthen existing results, or provide new, simpler hardness proofs than the original proofs.
Author: Chandru Arni Publisher: Prowess Publishing ISBN: 1545753318 Category : Mathematics Languages : en Pages : 372
Book Description
The games presented here are mainly 2-person strategic board games and Solitaire Puzzles, when alone. There is a welcome difference between strategic board games and puzzles. A puzzle has a solution and once you’ve solved it, it is not that interesting any more. A strategy game can be played again and again. Chess, the “King of all Board Games”, is not included here as it forms a subject by itself, but there are a few pre-chess puzzles. Bridge, the “Queen of all Card Games”, is also not included as Card games and Dice games involve a certain element of luck; the games here are not based on chance or probability. Apart from Games and Puzzles, there is a small chapter on Mathematical Excursions. These are explorations of non mathematicians like me into the ways of thinking and understanding patterns that mathematicians visualise and analyse for sheer pleasure without any monetary or practical benefit. How can a chess knight’s move over a chess board be beneficial to anybody? But this exploration has been going on for 2000 years. Also, whereas Pythagoras’ Theorem was of great benefit to society, what will proving Fermat’s Theorem accomplish? For a mathematician, the overriding influence of numbers becomes his aim in life.
Author: Dragomir Radev Publisher: Springer Science & Business Media ISBN: 3642343724 Category : Language Arts & Disciplines Languages : en Pages : 208
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: Michael Holt Publisher: ISBN: 9780880299480 Category : Games Languages : en Pages : 254
Book Description
A collection of old and new problems, puzzles, games, and diversions based on probability, geometry, number patterns, magic squares, and the laws of physics.
Author: T. H. O’Beirne Publisher: Courier Dover Publications ISBN: 0486824861 Category : Games & Activities Languages : en Pages : 257
Book Description
These marvelous, stimulating games for the mind include geometric paradoxes, cube and color arrangement puzzles, calendar paradoxes, much more. Detailed solutions prepare readers for puzzles of even greater complexity.
Author: Brian Tickle Publisher: ISBN: 9781876842628 Category : Games in mathematics education Languages : en Pages : 64
Book Description
Provides teachers with fun and interesting games that encourage students to develop their own strategies for mental computation. Each book contains reproducible game boards and materials, and clear instructions on how to play.
Author: Jessica Krattinger Publisher: Incentive Publications ISBN: 9780865305144 Category : Education Languages : en Pages : 63
Book Description
Every Puzzle It! book has 50 challenging and entertaining puzzles that require the application of important basic skills. In solving puzzles, students wake up their brains as they sharpen critical thinking and problem solving.
Author: Robert A. Hearn
Author: Robert A. Hearn
Author: Jason Rosenhouse
Author: Robert Aubrey Hearn
Author: Chandru Arni
Author: Dragomir Radev
Author: Michael Holt
Author: T. H. O’Beirne
Author: Brian Tickle
Author: Aaron J. Friedland
Author: Jessica Krattinger