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This book considers a specific problemâ generally a game or game fragment and introduces the mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.
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This book considers a specific problemâ generally a game or game fragment and introduces the mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.
Produktdetails
- Produktdetails
- AK Peters/CRC Recreational Mathematics Series
- Verlag: Taylor & Francis Ltd
- 2 ed
- Seitenzahl: 568
- Erscheinungstermin: 28. April 2021
- Englisch
- Abmessung: 232mm x 161mm x 37mm
- Gewicht: 836g
- ISBN-13: 9780367548414
- ISBN-10: 0367548410
- Artikelnr.: 60797462
- AK Peters/CRC Recreational Mathematics Series
- Verlag: Taylor & Francis Ltd
- 2 ed
- Seitenzahl: 568
- Erscheinungstermin: 28. April 2021
- Englisch
- Abmessung: 232mm x 161mm x 37mm
- Gewicht: 836g
- ISBN-13: 9780367548414
- ISBN-10: 0367548410
- Artikelnr.: 60797462
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 at the subsidiaries of the Gauslmann AG for more than two decades where he developed electronic gaming machines, automatic payment machines and coin operated internet terminals. Jörg Bewersdorff has authored several books on Galois theory (translated in English and Korean), mathematical statistics and object-orientated programming with JavaScript.
I. Games of Chance. 1. Dice and Probability. 2. Waiting for a Double. 3.
Tips on Playing the Lottery: More Equal Than Equal? 4. A Fair Division: But
How? 5. The Red and the Black: The Law of Large Numbers. 6. Asymmetric
Dice: Are They Worth Anything? 7. Probability and Geometry. 8. Chance and
Mathematical Certainty: Are They Reconcilable? 9. In Quest of the
Equiprobable. 10. Winning the Game: Probability and Value. 11. Which Die Is
Best? 12. A Die Is Tested. 13. The Normal Distribution: A Race to the
Finish! 14. And Not Only at Roulette: The Poisson Distribution. 15. When
Formulas Become Too Complex: The Monte Carlo Method. 16. Markov Chains and
the Game Monopoly. 17 Blackjack: A Las Vegas Fairy Tale. II. Combinatorial
Games. 18. Which Move Is Best? 19. Chances of Winning and Symmetry. 20. A
Game for Three. 21. Nim: The Easy Winner! 22. Lasker Nim: Winning Along a
Secret Path. 23. Black-and-White Nim: To Each His (or Her) Own. 24. A Game
with Dominoes: Have We Run Out of Space Yet? 25. Go: A Classical Game with
a Modern Theory. 26. Misere Games: Loser Wins! 27. The Computer as Game
Partner. 28. Can Winning Prospects Always Be Determined? 29. Games and
Complexity: When Calculations Take Too Long. 30. A Good Memory and Luck:
And Nothing Else? 31. Backgammon: To Double or Not to Double? 32.
Mastermind: Playing It Safe. III. Strategic Games. 33. Rock-Paper-Scissors:
The Enemy's Unknown Plan. 34. Minimax Versus Psychology: Even in Poker? 35.
Bluffing in Poker: Can It Be Done Without Psychology? 36. Symmetric Games:
Disadvantages Are Avoidable, but How? 37. Minimax and Linear Optimization:
As Simple as Can Be. 38. Play It Again, Sam: Does Experience Make Us Wiser?
39. Le Her: Should I Exchange? 40. Deciding at Random: But How? 41. Optimal
Play: Planning Efficiently. 42. Baccarat: Draw from a Five? 43.
Three-Person Poker: Is It a Matter of Trust? 44 QUAAK! Child's Play? 45
Mastermind: Color Codes and Minimax. 46. A Car, Two Goats-and a Quizmaster.
IV. Epilogue: Chance, Skill, and Symmetry. 47. A Player's Inuence and Its
Limits. 48. Games of Chance and Games of Skill. 49. In Quest of a Measure.
50. Measuring the Proportion of Skill. 51. Poker: The Hotly Debated Issue.
Tips on Playing the Lottery: More Equal Than Equal? 4. A Fair Division: But
How? 5. The Red and the Black: The Law of Large Numbers. 6. Asymmetric
Dice: Are They Worth Anything? 7. Probability and Geometry. 8. Chance and
Mathematical Certainty: Are They Reconcilable? 9. In Quest of the
Equiprobable. 10. Winning the Game: Probability and Value. 11. Which Die Is
Best? 12. A Die Is Tested. 13. The Normal Distribution: A Race to the
Finish! 14. And Not Only at Roulette: The Poisson Distribution. 15. When
Formulas Become Too Complex: The Monte Carlo Method. 16. Markov Chains and
the Game Monopoly. 17 Blackjack: A Las Vegas Fairy Tale. II. Combinatorial
Games. 18. Which Move Is Best? 19. Chances of Winning and Symmetry. 20. A
Game for Three. 21. Nim: The Easy Winner! 22. Lasker Nim: Winning Along a
Secret Path. 23. Black-and-White Nim: To Each His (or Her) Own. 24. A Game
with Dominoes: Have We Run Out of Space Yet? 25. Go: A Classical Game with
a Modern Theory. 26. Misere Games: Loser Wins! 27. The Computer as Game
Partner. 28. Can Winning Prospects Always Be Determined? 29. Games and
Complexity: When Calculations Take Too Long. 30. A Good Memory and Luck:
And Nothing Else? 31. Backgammon: To Double or Not to Double? 32.
Mastermind: Playing It Safe. III. Strategic Games. 33. Rock-Paper-Scissors:
The Enemy's Unknown Plan. 34. Minimax Versus Psychology: Even in Poker? 35.
Bluffing in Poker: Can It Be Done Without Psychology? 36. Symmetric Games:
Disadvantages Are Avoidable, but How? 37. Minimax and Linear Optimization:
As Simple as Can Be. 38. Play It Again, Sam: Does Experience Make Us Wiser?
39. Le Her: Should I Exchange? 40. Deciding at Random: But How? 41. Optimal
Play: Planning Efficiently. 42. Baccarat: Draw from a Five? 43.
Three-Person Poker: Is It a Matter of Trust? 44 QUAAK! Child's Play? 45
Mastermind: Color Codes and Minimax. 46. A Car, Two Goats-and a Quizmaster.
IV. Epilogue: Chance, Skill, and Symmetry. 47. A Player's Inuence and Its
Limits. 48. Games of Chance and Games of Skill. 49. In Quest of a Measure.
50. Measuring the Proportion of Skill. 51. Poker: The Hotly Debated Issue.
I. Games of Chance. 1. Dice and Probability. 2. Waiting for a Double. 3.
Tips on Playing the Lottery: More Equal Than Equal? 4. A Fair Division: But
How? 5. The Red and the Black: The Law of Large Numbers. 6. Asymmetric
Dice: Are They Worth Anything? 7. Probability and Geometry. 8. Chance and
Mathematical Certainty: Are They Reconcilable? 9. In Quest of the
Equiprobable. 10. Winning the Game: Probability and Value. 11. Which Die Is
Best? 12. A Die Is Tested. 13. The Normal Distribution: A Race to the
Finish! 14. And Not Only at Roulette: The Poisson Distribution. 15. When
Formulas Become Too Complex: The Monte Carlo Method. 16. Markov Chains and
the Game Monopoly. 17 Blackjack: A Las Vegas Fairy Tale. II. Combinatorial
Games. 18. Which Move Is Best? 19. Chances of Winning and Symmetry. 20. A
Game for Three. 21. Nim: The Easy Winner! 22. Lasker Nim: Winning Along a
Secret Path. 23. Black-and-White Nim: To Each His (or Her) Own. 24. A Game
with Dominoes: Have We Run Out of Space Yet? 25. Go: A Classical Game with
a Modern Theory. 26. Misere Games: Loser Wins! 27. The Computer as Game
Partner. 28. Can Winning Prospects Always Be Determined? 29. Games and
Complexity: When Calculations Take Too Long. 30. A Good Memory and Luck:
And Nothing Else? 31. Backgammon: To Double or Not to Double? 32.
Mastermind: Playing It Safe. III. Strategic Games. 33. Rock-Paper-Scissors:
The Enemy's Unknown Plan. 34. Minimax Versus Psychology: Even in Poker? 35.
Bluffing in Poker: Can It Be Done Without Psychology? 36. Symmetric Games:
Disadvantages Are Avoidable, but How? 37. Minimax and Linear Optimization:
As Simple as Can Be. 38. Play It Again, Sam: Does Experience Make Us Wiser?
39. Le Her: Should I Exchange? 40. Deciding at Random: But How? 41. Optimal
Play: Planning Efficiently. 42. Baccarat: Draw from a Five? 43.
Three-Person Poker: Is It a Matter of Trust? 44 QUAAK! Child's Play? 45
Mastermind: Color Codes and Minimax. 46. A Car, Two Goats-and a Quizmaster.
IV. Epilogue: Chance, Skill, and Symmetry. 47. A Player's Inuence and Its
Limits. 48. Games of Chance and Games of Skill. 49. In Quest of a Measure.
50. Measuring the Proportion of Skill. 51. Poker: The Hotly Debated Issue.
Tips on Playing the Lottery: More Equal Than Equal? 4. A Fair Division: But
How? 5. The Red and the Black: The Law of Large Numbers. 6. Asymmetric
Dice: Are They Worth Anything? 7. Probability and Geometry. 8. Chance and
Mathematical Certainty: Are They Reconcilable? 9. In Quest of the
Equiprobable. 10. Winning the Game: Probability and Value. 11. Which Die Is
Best? 12. A Die Is Tested. 13. The Normal Distribution: A Race to the
Finish! 14. And Not Only at Roulette: The Poisson Distribution. 15. When
Formulas Become Too Complex: The Monte Carlo Method. 16. Markov Chains and
the Game Monopoly. 17 Blackjack: A Las Vegas Fairy Tale. II. Combinatorial
Games. 18. Which Move Is Best? 19. Chances of Winning and Symmetry. 20. A
Game for Three. 21. Nim: The Easy Winner! 22. Lasker Nim: Winning Along a
Secret Path. 23. Black-and-White Nim: To Each His (or Her) Own. 24. A Game
with Dominoes: Have We Run Out of Space Yet? 25. Go: A Classical Game with
a Modern Theory. 26. Misere Games: Loser Wins! 27. The Computer as Game
Partner. 28. Can Winning Prospects Always Be Determined? 29. Games and
Complexity: When Calculations Take Too Long. 30. A Good Memory and Luck:
And Nothing Else? 31. Backgammon: To Double or Not to Double? 32.
Mastermind: Playing It Safe. III. Strategic Games. 33. Rock-Paper-Scissors:
The Enemy's Unknown Plan. 34. Minimax Versus Psychology: Even in Poker? 35.
Bluffing in Poker: Can It Be Done Without Psychology? 36. Symmetric Games:
Disadvantages Are Avoidable, but How? 37. Minimax and Linear Optimization:
As Simple as Can Be. 38. Play It Again, Sam: Does Experience Make Us Wiser?
39. Le Her: Should I Exchange? 40. Deciding at Random: But How? 41. Optimal
Play: Planning Efficiently. 42. Baccarat: Draw from a Five? 43.
Three-Person Poker: Is It a Matter of Trust? 44 QUAAK! Child's Play? 45
Mastermind: Color Codes and Minimax. 46. A Car, Two Goats-and a Quizmaster.
IV. Epilogue: Chance, Skill, and Symmetry. 47. A Player's Inuence and Its
Limits. 48. Games of Chance and Games of Skill. 49. In Quest of a Measure.
50. Measuring the Proportion of Skill. 51. Poker: The Hotly Debated Issue.