Mathematical Games and How to Play Them

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Publisher : Courier Corporation
ISBN 13 : 0486462773
Total Pages : 146 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Mathematical Games and How to Play Them by : Steven Vajda

Download or read book Mathematical Games and How to Play Them written by Steven Vajda and published by Courier Corporation. This book was released on 2008-01-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This refreshingly authoritative look at recreational mathematics illustrates winning strategies that use the methods of algebra, geometry, combinatorics, number theory, graph theory, and other branches of mathematics. Its lucid analyses of the rules and theories of mathematical games include skill-enhancing exercises, plus references, appendixes, and detailed explanations. 1992 edition.

Mathematical Games, Abstract Games

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Publisher : Courier Corporation
ISBN 13 : 0486315789
Total Pages : 224 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Mathematical Games, Abstract Games by : Joao Pedro Neto

Download or read book Mathematical Games, Abstract Games written by Joao Pedro Neto and published by Courier Corporation. This book was released on 2013-05-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: User-friendly, visually appealing collection offers both new and classic strategic board games. Includes abstract games for two and three players and mathematical games such as Nim and games on graphs.

The Mathematics of Games

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Publisher : Courier Corporation
ISBN 13 : 048615162X
Total Pages : 228 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Mathematics of Games by : John D. Beasley

Download or read book The Mathematics of Games written by John D. Beasley and published by Courier Corporation. This book was released on 2013-01-18 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Games and Mathematics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107024609
Total Pages : 257 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Games and Mathematics by : David G. Wells

Download or read book Games and Mathematics written by David G. Wells and published by Cambridge University Press. This book was released on 2012-10-18 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique book providing a tour through the fascinating connections between mathematics and games.

Mathematics of Tabletop Games

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Publisher : A K PETERS
ISBN 13 : 9781032468518
Total Pages : 0 pages
Book Rating : 4.4/5 (685 download)

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Book Synopsis Mathematics of Tabletop Games by : Aaron Montgomery

Download or read book Mathematics of Tabletop Games written by Aaron Montgomery and published by A K PETERS. This book was released on 2024-07-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a bridge between mathematics and hobby tabletop gaming. Readers interested in either mathematics or tabletop games will find this book an engaging way to begin exploring the other topic or the connection between the topics.

Games, Gambling, and Probability

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Publisher : CRC Press
ISBN 13 : 1000400204
Total Pages : 516 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Games, Gambling, and Probability by : David G. Taylor

Download or read book Games, Gambling, and Probability written by David G. Taylor and published by CRC Press. This book was released on 2021-06-22 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many experiments have shown the human brain generally has very serious problems dealing with probability and chance. A greater understanding of probability can help develop the intuition necessary to approach risk with the ability to make more informed (and better) decisions. The first four chapters offer the standard content for an introductory probability course, albeit presented in a much different way and order. The chapters afterward include some discussion of different games, different "ideas" that relate to the law of large numbers, and many more mathematical topics not typically seen in such a book. The use of games is meant to make the book (and course) feel like fun! Since many of the early games discussed are casino games, the study of those games, along with an understanding of the material in later chapters, should remind you that gambling is a bad idea; you should think of placing bets in a casino as paying for entertainment. Winning can, obviously, be a fun reward, but should not ever be expected. Changes for the Second Edition: New chapter on Game Theory New chapter on Sports Mathematics The chapter on Blackjack, which was Chapter 4 in the first edition, appears later in the book. Reorganization has been done to improve the flow of topics and learning. New sections on Arkham Horror, Uno, and Scrabble have been added. Even more exercises were added! The goal for this textbook is to complement the inquiry-based learning movement. In my mind, concepts and ideas will stick with the reader more when they are motivated in an interesting way. Here, we use questions about various games (not just casino games) to motivate the mathematics, and I would say that the writing emphasizes a "just-in-time" mathematics approach. Topics are presented mathematically as questions about the games themselves are posed. Table of Contents Preface 1. Mathematics and Probability 2. Roulette and Craps: Expected Value 3. Counting: Poker Hands 4. More Dice: Counting and Combinations, and Statistics 5. Game Theory: Poker Bluffing and Other Games 6. Probability/Stochastic Matrices: Board Game Movement 7. Sports Mathematics: Probability Meets Athletics 8. Blackjack: Previous Methods Revisited 9. A Mix of Other Games 10. Betting Systems: Can You Beat the System? 11. Potpourri: Assorted Adventures in Probability Appendices Tables Answers and Selected Solutions Bibliography Biography Dr. David G. Taylor is a professor of mathematics and an associate dean for academic affairs at Roanoke College in southwest Virginia. He attended Lebanon Valley College for his B.S. in computer science and mathematics and went to the University of Virginia for his Ph.D. While his graduate school focus was on studying infinite dimensional Lie algebras, he started studying the mathematics of various games in order to have a more undergraduate-friendly research agenda. Work done with two Roanoke College students, Heather Cook and Jonathan Marino, appears in this book! Currently he owns over 100 different board games and enjoys using probability in his decision-making while playing most of those games. In his spare time, he enjoys reading, cooking, coding, playing his board games, and spending time with his six-year-old dog Lilly.

Mathematics of Tabletop Games

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Publisher : CRC Press
ISBN 13 : 1040089410
Total Pages : 209 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Mathematics of Tabletop Games by : Aaron Montgomery

Download or read book Mathematics of Tabletop Games written by Aaron Montgomery and published by CRC Press. This book was released on 2024-07-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Tabletop Games provides a bridge between mathematics and hobby tabletop gaming. Instead of focusing on games mathematicians play, such as nim and chomp, this book starts with the tabletop games played by avid gamers and hopes to address the question: which field of mathematics concerns itself with this situation? Readers interested in either mathematics or tabletop games will find this book an engaging way to begin exploring the other topic or the connection between the topics. Features Presents an entry-level exposition of interesting mathematical concepts that are not commonly taught outside of upper-level mathematics courses Acts as a resource for mathematics instructors who wish to provide new examples of standard mathematical concepts Features material that may help game designers and developers make design decisions about game mechanisms Provides working Python code that can be used to solve common questions about games Covers a broad range of mathematical topics that could be used as survey material for undergraduates curious about mathematics.

Strategy Games to Enhance Problem-Solving Ability in Mathematics

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Author :
Publisher : World Scientific
ISBN 13 : 9813146362
Total Pages : 136 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Strategy Games to Enhance Problem-Solving Ability in Mathematics by : Alfred S Posamentier

Download or read book Strategy Games to Enhance Problem-Solving Ability in Mathematics written by Alfred S Posamentier and published by World Scientific. This book was released on 2016-11-11 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games are seen only for recreation. However, this book shows that games can be used to strengthen problem-solving skills and beyond. This book presents strategy games and discusses for each one solutions towards a winning position in the game. In most cases, these strategies are analogous to problem-solving strategies in mathematics. Readers are also exposed to a wide variety of games from several different cultures, which will broaden the perspective of the readers.

Tabletop

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Publisher : Lulu.com
ISBN 13 : 1257870602
Total Pages : 207 pages
Book Rating : 4.2/5 (578 download)

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Book Synopsis Tabletop by : Drew Davidson

Download or read book Tabletop written by Drew Davidson and published by Lulu.com. This book was released on 2011 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, people of diverse backgrounds talk about tabletop games, game culture, and the intersection of games with learning, theater, and other forms. Some have chosen to write about their design process, others about games they admire, others about the culture of tabletop games and their fans. The results are various and individual, but all cast some light on what is a multivarious and fascinating set of game styles.

Game Mechanics

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Publisher : New Riders
ISBN 13 : 0132946688
Total Pages : 442 pages
Book Rating : 4.1/5 (329 download)

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Book Synopsis Game Mechanics by : Ernest Adams

Download or read book Game Mechanics written by Ernest Adams and published by New Riders. This book was released on 2012-06-18 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This in-depth resource teaches you to craft mechanics that generate challenging, enjoyable, and well-balanced gameplay. You’ll discover at what stages to prototype, test, and implement mechanics in games and learn how to visualize and simulate game mechanics in order to design better games. Along the way, you’ll practice what you’ve learned with hands-on lessons. A free downloadable simulation tool developed by Joris Dormans is also available in order to follow along with exercises in the book in an easy-to-use graphical environment. In Game Mechanics: Advanced Game Design, you’ll learn how to: * Design and balance game mechanics to create emergent gameplay before you write a single line of code. * Visualize the internal economy so that you can immediately see what goes on in a complex game. * Use novel prototyping techniques that let you simulate games and collect vast quantities of gameplay data on the first day of development. * Apply design patterns for game mechanics—from a library in this book—to improve your game designs. * Explore the delicate balance between game mechanics and level design to create compelling, long-lasting game experiences. * Replace fixed, scripted events in your game with dynamic progression systems to give your players a new experience every time they play. "I've been waiting for a book like this for ten years: packed with game design goodness that tackles the science without undermining the art." --Richard Bartle, University of Essex, co-author of the first MMORPG “Game Mechanics: Advanced Game Design by Joris Dormans & Ernest Adams formalizes game grammar quite well. Not sure I need to write a next book now!” -- Raph Koster, author of A Theory of Fun for Game Design.

3D Math Primer for Graphics and Game Development, 2nd Edition

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Author :
Publisher : CRC Press
ISBN 13 : 1568817231
Total Pages : 848 pages
Book Rating : 4.5/5 (688 download)

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Book Synopsis 3D Math Primer for Graphics and Game Development, 2nd Edition by : Fletcher Dunn

Download or read book 3D Math Primer for Graphics and Game Development, 2nd Edition written by Fletcher Dunn and published by CRC Press. This book was released on 2011-11-02 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

The Mathematics of Games and Gambling

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Publisher : American Mathematical Society
ISBN 13 : 147046862X
Total Pages : 174 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Mathematics of Games and Gambling by : Edward Packel

Download or read book The Mathematics of Games and Gambling written by Edward Packel and published by American Mathematical Society. This book was released on 2022-01-19 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was reprinted eight times. This book introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, blackjack, keno), some social games (backgammon, poker, bridge) and various other activities (state lotteries, horse racing, etc.) are treated in ways that bring out their mathematical aspects. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. The second edition includes new material on: sports betting and the mathematics behind it; Game theory applied to bluffing in poker and related to the Texas Holdem phenomenon; The Nash equilibrium concept and its emergence in the popular culture; Internet links to games and to Java applets for practice and classroom use. The only formal mathematics background the reader needs is some facility with high school algebra. Game-related exercises are included at the end of most chapters for readers interested in working with and expanding ideas treated in the text. Solutions to some of the exercises appear at the end of the book.

Let's Play Math

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Publisher : Tabletop Academy Press
ISBN 13 : 1892083248
Total Pages : 288 pages
Book Rating : 4.8/5 (92 download)

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Book Synopsis Let's Play Math by : Denise Gaskins

Download or read book Let's Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics in Games, Sports, and Gambling

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Publisher : CRC Press
ISBN 13 : 1498719538
Total Pages : 376 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Mathematics in Games, Sports, and Gambling by : Ronald J. Gould

Download or read book Mathematics in Games, Sports, and Gambling written by Ronald J. Gould and published by CRC Press. This book was released on 2015-10-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to expla

GameTek

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Publisher : HarperCollins
ISBN 13 : 1460711122
Total Pages : 193 pages
Book Rating : 4.4/5 (67 download)

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Book Synopsis GameTek by : Geoffrey Engelstein

Download or read book GameTek written by Geoffrey Engelstein and published by HarperCollins. This book was released on 2019-02-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: What games can teach us about life, the universe and ourselves. If you shuffle a deck of cards what are the odds that the sequence is unique? What is the connection between dice, platonic solids and Newton's theory of gravity? What is more random: a dice tower or a number generator? Can you actually employ a strategy for a game as basic as Rock-Paper-Scissors? These are all questions that are thrown up in games and life. Games involve chance, choice, competition, innovation, randomness, memory, stand-offs and paradoxes - aspects that designers manipulate to make a game interesting, fun and addictive, and players try to master for enjoyment and winning. But they also provide a fascinating way for us to explore our world; to understand how our minds tick, our numbers add up, and our laws of physics work. This is a book that tackles the big questions of life through the little questions of games. With short chapters on everything from memory games to the Prisoner's Dilemma, to Goedel's theorems, GameTek is fascinating reading anyone for who wants to explore the world from a new perspective - and a must-read book for serious designers and players. PRAISE 'Math, physics, psychology and all the other stuff you didn't even realise you were using while playing board games! Dr E has opened the door to the game under the game in fascinating, fun detail. Now you have NO reason to ever lose again! Rock!' Tommy Dean, board-gamer and stand-up comic

Mathematical Games, Abstract Games

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486499901
Total Pages : 209 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Mathematical Games, Abstract Games by : Joao Pedro Neto

Download or read book Mathematical Games, Abstract Games written by Joao Pedro Neto and published by Courier Corporation. This book was released on 2013-11-21 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perfect for those who enjoy intellectual challenges, this user-friendly and visually appealing collection offers both new and classic strategic board games. Chapters include two- and three-player games, a selection of mathematical games that features Nim and games on graphs, a survey of the theory and history of board games, and a lengthy glossary.

The Unfinished Game

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Publisher :
ISBN 13 : 0465018963
Total Pages : 210 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Unfinished Game by : Keith Devlin

Download or read book The Unfinished Game written by Keith Devlin and published by . This book was released on 2010-03-23 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before the mid-seventeenth century, scholars generally agreed that it was impossible to predict something by calculating mathematical outcomes. One simply could not put a numerical value on the likelihood that a particular event would occur. Even the outcome of something as simple as a dice roll or the likelihood of showers instead of sunshine was thought to lie in the realm of pure, unknowable chance. The issue remained intractable until Blaise Pascal wrote to Pierre de Fermat in 1654, outlining a solution to the "unfinished game" problem: how do you divide the pot when players are forced to.