Mathematics and Chess
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Mathematics and Chess

3.5 (4 ratings by Goodreads)
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Description

99 puzzles built around the chessboard. Arithmetical and probability problems, chessboard recreations, geometrical puzzles, mathematical amusements and games, more. Solutions.
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Product details

  • Paperback | 144 pages
  • 137 x 216 x 9.14mm | 167.83g
  • New York, United States
  • English
  • 0486294323
  • 9780486294322
  • 352,750

Table of contents

Arithmetic and Probability Problems
Number of rectangles
Result of the chess game
Number of chess players in the tournament
Sum of the crossed-out numbers
Four selected numbers
Nonattacking rooks and the sum of numbers
Nonattacking rooks and the value of a determinant
Rook polynomials
Encircling points on a square
Probability of attacking queens
Probability of king's tour
Match between two chess players
Two consecutive wins
Intersection of square's edges
Solutions
Chessboard Diversions
Symmetry in the ending
Retrograde problem
The immovable king
No-three-in-line problem
Four-in-a-row problem
Minimum-pieces problems
Four attacking queens
Minimum and maximum attacks
Minimum and maximum moves
The eight-queens problem
Winning a game with the minimal length of moves
Replacement problem with queens
Walk through a chess park
Beetle's tour on a chessboard
Traveling salesman's route
Five rooks
Police patrol
Four moving beetles
Arrangement of numbers
Sinking the ships
Knight's fourfold attacks
Kriegsspiel problem
Mate with eight rooks
Mate by two queens
Check by two knights
Minimal game to kings
Mirror-image selfmate
Solutions
Chess-piece Tours
The queen's shortest route
Five moves of the queen
King's magic re-entrant path
The longest uncrossed knight's tour
Knight's re-entrant path
Roundabout knight's tour
Knight's tour on a 4x4 board
Knight's tour on a quarter of chessboard
Knight's re-entrant path over the cube
Knight's tour on the three-dimensional 4x4x4 board
Knight's tour on an infinite board
The largest bishop's tour
The longest and the shortest king's tours
Lost-king tour
Rook's re-entrant path with obstacles
Rook's dance around pawns
The number of knight's paths
Guarini's problem
Variant I of Guarini's problem
Variant II of Guarini's problem
Knights crossing over the Danube
Knight on a solitaire board
Camel's tour
Solutions
Geometric puzzles
Maximum number of cut squares
The first joiner's problem
The second joiner's problem
The third joiner's problem
Geometrical paradox: 64 = 65
Four pawns on the edges of a chessboard
Dividing a chessboard with four knights
Assembling a chessboard
Rooks and knights on a 6x6 board
Dividing by matches
Chess cube
Building a 6x6x6 cube
Piece-placement problem
Figure of the smallest diameter
Where is the king?
Solutions
Mathematical Amusements and Games
Covering by dominoes
Another problem with covering dominoes
Covering by k-minoes
Pentaminoes on a chessboard
Rolling cube on a chessboard
Rolling cubes on a 3x3 board
Presidential candidates
Switching puzzle on a chessboard
Mosaic transfiguration
The pushing rook
King-cornering game
Domino game on a chessboard
Solutions
Miscellaneous Puzzles
Suicidal king
Nonattacking superqueens
Elimination of squares
Termite on a cube
Movement of nine queens
Magic squares on a chessboard
Magic cube
Extension of the magic squares
Magic domino squares
Latin squares
Shinkman's zig-zag problems
Pistol theme
Cylindrical chess
The eight-queens problem on a cylindrical board
Toroidal chess
Projective chess
Combined problems
Coloring a 9x9 square
Coloring a chessboard
Solutions
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Rating details

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