شانس، منطق و دروغ‌های سفید: ریاضیات بازی‌ها (ویرایش دوم)

Praise for the First Edition'Luck, Logic, and White Lies teaches readers of all backgrounds about the insight mathematical knowledge can bring and is highly recommended reading among avid game players, both to better understand the game itself and to improve one's skills.'– Midwest Book Review'The best book I've found for someone new to game math is Luck, Logic and White Lies by Jörg Bewersdorff. It introduces the reader to a vast mathematical literature, and does so in an enormously clear manner...'– Alfred Wallace, Musings, Ramblings, and Things Left Unsaid'The aim is to introduce the mathematics that will allow analysis of the problem or game. This is done in gentle stages, from chapter to chapter, so as to reach as broad an audience as possible... Anyone who likes games and has a taste for analytical thinking will enjoy this book.'– Peter Fillmore, CMS NotesLuck, Logic, and White Lies: The Mathematics of Games, Second Edition considers a specific problem—generally a game or game fragment and introduces the related mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.This new edition features new and much refreshed chapters, including an all-new Part IV on the problem of how to measure skill in games. Readers are also introduced to new references and techniques developed since the previous edition.Features Provides a uniquely historical perspective on the mathematical underpinnings of a comprehensive list of games Suitable for a broad audience of differing mathematical levels. Anyone with a passion for games, game theory, and mathematics will enjoy this book, whether they be students, academics, or game enthusiasts Covers a wide selection of topics at a level that can be appreciated on a historical, recreational, and mathematical level. Jörg Bewersdorff (1958) studied mathematics from 1975 to 1982 at the University of Bonn and earned his PhD in 1985. In the same year, he started his career as game developer and mathematician. He served as the general manager of the subsidiaries of Gauselmann AG for more than two decades where he developed electronic gaming machines, automatic payment machines, and coin-operated Internet terminals.Dr. Bewersdorff has authored several books on Galois theory (translated in English and Korean), mathematical statistics, and object-oriented programming with JavaScript.•Here is the list of Errata for the second edition of Luck, Logic, and White Lies: The Mathematics of Games: http://bewersdorff-online.de/LLWL-errata.pdf This book introduces playfully along historical lines about mathematicians such as Pierre-Simon Laplace who analyzed the chances in dice games. Cover 1 Half Title 2 Title Page 4 Copyright Page 5 Table of Contents 6 Foreword 10 Preface 12 Part I: Games of Chance 22 1 Dice and Probability 24 2 Waiting for a Double 6 30 3 Tips on Playing the Lottery: More Equal than Equal? 34 4 A Fair Division: But How? 44 5 The Red and the Black: The Law of Large Numbers 48 6 Asymmetric Dice: Are They Worth Anything? 54 7 Probability and Geometry 58 8 Chance and Mathematical Certainty: Are They Reconcilable? 62 9 In Quest of the Equiprobable 72 10 Winning the Game: Probability and Value 78 11 Which Die Is Best? 88 12 A Die Is Tested 92 13 The Normal Distribution: A Race to the Finish! 98 14 And Not Only at Roulette: The Poisson Distribution 110 15 When Formulas Become Too Complex: The Monte Carlo Method 114 16 Markov Chains and the Game Monopoly 126 17 Blackjack: A Las Vegas Fairy Tale 142 Part II: Combinatorial Games 164 18 Which Move Is Best? 166 19 Chances of Winning and Symmetry 178 20 A Game for Three 192 21 Nim: The Easy Winner! 198 22 Lasker Nim: Winning along a Secret Path 204 23 Black-and-White Nim: To Each His (or Her) Own 214 24 A Game with Dominoes: Have We Run Out of Space Yet? 230 25 Go: A Classical Game with a Modern Theory 246 26 Misère Games: Loser Wins! 274 27 The Computer as Game Partner 288 28 Can Winning Prospects Always Be Determined? 314 29 Games and Complexity: When Calculations Take Too Long 328 30 A Good Memory and Luck: And Nothing Else? 344 31 Backgammon: To Double or Not to Double? 352 32 Mastermind: Playing It Safe 368 Part III: Strategic Games 376 33 Rock–Paper–Scissors: The Enemy’s Unknown Plan 378 34 Minimax versus Psychology: Even in Poker? 388 35 Bluffing in Poker: Can It Be Done without Psychology? 396 36 Symmetric Games: Disadvantages Are Avoidable, but How? 402 37 Minimax and Linear Optimization: As Simple as Can Be 418 38 Play It Again, Sam: Does Experience Make Us Wiser? 426 39 Le Her: Should I Exchange? 434 40 Deciding at Random: But How? 442 41 Optimal Play: Planning Efficiently 452 42 Baccarat: Draw from a Five? 468 43 Three-Person Poker: Is It a Matter of Trust? 472 44 QUAAK! Child’s Play? 486 45 Mastermind: Color Codes and Minimax 496 46 A Car, Two Goats—and a Quizmaster 502 Part IV: Epilogue: Chance, Skill, and Symmetry 516 47 A Player’s Influence and Its Limits 518 48 Games of Chance and Games of Skill 522 49 In Quest of a Measure 536 50 Measuring the Proportion of Skill 544 51 Poker: The Hotly Debated Issue 554 Index 564 Probability;,Fair,Division;,Geometry;,Combinatorial,Games;,Linear,Optimization;,Quizmaster Probability,Fair Division,Geometry,Combinatorial Games,Linear Optimization,Quizmaster "Luck, Logic, and White Lies: The Mathematics of Games, Second Edition considers a specific problem-generally a game or game fragment and introduces the related mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games. This new edition features new and much refreshed chapters, including an all-new Part IV on the problem of how to measure skill in games. Readers are also introduced to new references and techniques developed since the previous edition. Features Provides a uniquely historical perspective on the mathematical underpinnings of a comprehensive list of games Suitable for a broad audience of differing mathematical levels. Anyone with a passion for games, game theory, and mathematics will enjoy this book, whether they be students, academics, or game enthusiasts Covers a wide selection of topics at a level that can be appreciated on a historical, recreational, and mathematical level. Jörg Bewersdorff (1958) studied mathematics from 1975 to 1982 at the University of Bonn and earned his PhD in 1985. In the same year, he started his career as game developer and mathematician. He served as the general manager of the subsidiaries of Gauselmann AG for more than two decades where he developed electronic gaming machines, automatic payment machines, and coin-operated Internet terminals. Dr. Bewersdorff has authored several books on Galois theory (translated in English and Korean), mathematical statistics, and object-oriented programming with JavaScript"-- Provided by publisher