# The Master Book Of Mathematical Recreations by Fred. Schuh (1968)

Contents

Chapter I: Hints for Solving Puzzles

•  Various Kinds of Puzzles
•  Solving by Trial
• Classification System
• Solving a Puzzle by Simplification
• Solving a Puzzle by Breaking It Up
• Some Puzzles with Multiples

Chapter II: Some Domino Puzzles

• Symmetric Domino Puzzle, with Extensions
• Doubly Symmetric Domino Puzzle
• Smallest and Largest Number of Corners

Chapter III: The Game of Noughts and Crosses

•  Description of the Game
• Considerations Affecting Values of the Squares
• Directions for Good Play
• Some Remarks on Good Play
• General Remarks on the Analysis of the Game
• Partial Analysis of the Game
• Complete Analysis of the Game
• Modification of the Game of Noughts and Crosses
• Puzzles Derived from the Game

Chapter IV: Number Systems

• Counting
• Arithmetic
• Remarks on Number Systems

Chapter V: Some Puzzles Related to Number Systems

• Weight Puzzles
• Example oj a Binary Puzzle
•  Robuse and Related Binary Puzzles

Chapter VI: Games with Piles of Matches

•  General Observations
• Games with One Pile of Matches
• Games with Several Piles of Matches
• Some Other Match Games
• Game of Nim
• Game of Nim and the Binary System
• Extension or Modification of the Game of Nim

Chapter VII: Enumeration of Possibilities and the Determination of Probabilities

• Numbers of Possibilities
• Determining Probabilities from Equally Likely Cases
• Rules for Calculating Probabilities
• Probabilities of Causes

Chapter VIII: Some Applications of the Theory of Probability

• Various Questions on Probabilities Shrewd prisoner
• Probabilities in Bridge

Chapter IX: Evaluation of Contingencies and Mean Values

•  Mathematical Expectation and Its Applications Mathematical expectation
• Further Application of Mathematical Expectation
• Average Values

Chapter X: Some Games of Encirclement

• Game of Wolf and Sheep
• Game of Dwarfs or “Catch the Giant!”
• Further Considerations of the Game of Dwarfs
•  Modified Game of Dwarfs Rules of the game
• The Soldiers’ Game

Chapter XI: Sliding-Movement Puzzles

• Game of Five
•  Extensions of the Game of Five
•  Fatal Fifteen
• Further Considerations on Inversions
• Least Number of Moves
• Puzzles in Decanting Liquids

Chapter XII: Subtraction Games

• Subtraction Game with a Simple Obstacle
•  Subtraction Game with a More Complicated Obstacle
•  3-, 5-, 7- and 9-Subtraction Games
• Subtraction Game where the Opener Loses

Chapter XIII: Puzzles with Some Mathematical Aspects

• Simple Puzzles with Squares Puzzle
• Puzzle with 4-Digit Squares
• A Curious Multiplication
• Problem on Remainders and Quotients
• Commuter Puzzles
•  Prime Number Puzzles
• Remarkable Divisibility
• Multiplication and Division Puzzles
• Dice Puzzles

Chapter XIV: Puzzles of Assorted Types

•  Network Puzzle
•  Broken Lines through Dots
• Other Puzzles of a Geometrical Nature
• Queens on the Chessboard
• Problem on Names
• Stockings Puzzles and Probability Considerations

Chapter XV: Puzzles in Mechanics

• General Remarks on Kinematics
• Phenomena of Inertia
• Mass and Weight
• Further Considerations on Forces
• Some Other Dynamic Problems

Language: English        Format: PDF              Pages: 447       Password: bookboxpdf.com