عنوان

The master book of mathematical recreations /

0486221342

9780486221342

dltt

The master book of mathematical recreations /

[Book]

by Fred. Schuh ; translated by F. Göbel ; translation edited by T.H. O'Beirne

xvi, 430 pages :

illustrations ;

22 cm

Translation of Wonderlijke problemen

Machine derived contents note: [Asterisks indicate sections that involve algebraic formulae.] -- Chapter I: Hints for Solving Puzzles -- I. Various Kinds of Puzzles -- 1. Literary puzzles -- 2. Pure puzzles -- 3. Remarks on pure puzzles -- 4. Puzzle games -- 5. Correspondences and differences between puzzles and games -- II. Solving by Trial -- 6. Trial and error -- 7. Systematic trial -- 8. Division into cases -- 9. Example of a puzzle tree -- III. Classification System -- 10. Choosing a classification system -- 11. Usefulness of a classification system -- 12. More about the classification system -- IV. Solving a Puzzle by Simplification -- 13. Simplifying a puzzle -- 14. Example of how to simplify a puzzle -- 15. Remarks on the seven coins puzzle -- 16. Reversing a puzzle -- 17. Example of reversing a puzzle -- V. Solving a Puzzle by Breaking It Up -- 18. Breaking a puzzle up into smaller puzzles -- 19. Application to the crossing puzzle -- 20. Number of solutions of the crossing puzzle -- 21. Restrictive condition in the crossing puzzle -- 22. Shunting puzzle -- VI. Some Puzzles with Multiples -- 23. Trebles puzzle -- 24. Breaking up the trebles puzzle -- 25. Trebles puzzle with larger numbers -- 26. Doubles puzzle with 7-digit numbers -- 27. Remarks on the numbers of ʹ26 -- 28. Quintuples puzzle -- Chapter II: Some Domino Puzzles -- I. "Symmetric Domino Puzzle, with Extensions" -- 29. Symmetric domino puzzle -- 30. Extended symmetric domino puzzle -- 31. Another extension of the symmetric domino puzzle -- II. Doubly Symmetric Domino Puzzle -- 32. First doubly symmetric domino puzzle -- 33. Doubly symmetric domino puzzle without restrictive condition -- 34. Connection with the puzzle of ʹ32 -- 35. Second doubly symmetric domino puzzle -- 36. Puzzle with dominos in a rectangle -- III. Smallest and Largest Numbers of Corners -- 37. Salient and re-entrant angles -- 38. Puzzle with the smallest number of angles -- 39. Puzzle with the largest number of angles -- Chapter III: The Game of Noughts and Crosses -- I. Description of the Game -- 40. Rules of the game -- 41. Supplement to the game -- 42. Consequences of the rules -- II. Considerations Affecting Values of the Squares -- 43. Value of a square -- 44. Remarks on the value of a square -- III. Directions for Good Play -- 45. Semi-row or threat -- 46. Double threat -- 47. Combined threat -- 48. Replying to a double threat -- 49. Further directions for good play -- IV. Some Remarks on Good Play -- 50. Remarks on the double threat -- 51. Connection with the value of a move -- V. General Remarks on the Analysis of the Game -- 52. Preliminary remarks -- 53. Diagrams -- 54. Tree derived from the diagrams -- VI. Partial Analysis of the Game -- 55. "John starts with the central square 5, Peter replies with the corner square 1" -- 56. "John starts with the corner square 1, Peter replies with the central square 5" -- 57. "John starts with the border square 2, Peter replies with the central square 5" -- 58. Equitable nature of the game -- VII. Complete Analysis of the Game -- 59. "John starts with the central square 5, Peter replies with the border square 2" -- 60. "John starts with the corner square 1, Peter replies with the border square 2" -- 61. "John starts with the corner square 1, Peter replies with the corner square 3" -- 62. "John starts with the corner square 1, Peter replies with the border square 6" -- 63. "John starts with the corner square 1, Peter replies with the corner square 9"

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A wealth of original challenges and new approaches to classic conundrums includes numerous worked examples and a focus on the mathematics behind the puzzles. "Exceptionally good value." Journal of Recreational Math

3.00

Master book of mathematical recreations.

Wonderlijke problemen.

English

Mathematical recreations

Schuh, Frederik,1875-1966

20190606105957.0

rda

[Book]

Y