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# One hundred problems in elementary mathematics

Author: Hugo Steinhaus New York : Dover Books, 1979, ©1964. Dover books on mathematics. eBook : Document : EnglishView all editions and formats (not yet rated) 0 with reviews - Be the first.

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Genre/Form: Electronic booksProblems and exercisesProblems, exercises, etc Print version: Document, Internet resource Internet Resource, Computer File Hugo Steinhaus Find more information about: Hugo Steinhaus 0486811808 9780486811802 957318164 Translation of Sto zada?n.Reprint. Originally published: Basic Books. 1 online resource (174 pages) : illustrations. Title Page; Copyright Page; Contents; Foreword; Preface; Chapter I: Problems on Numbers, Equations and Inequalities; 1. Exercise on the multiplication table; 2. An interesting property of numbers; 3. Division by 11; 4. The divisibility of numbers; 5. A simplified form of Fermat's theorem; 6. Distribution of numbers; 7. Generalization; 8. Proportions; 9. Irrationality of the root; 10. Inequality; 11. A sequence of numbers; Chapter II: Problems on Points, Polygons, Circles and Ellipses; 12. Points in a plane; 13. Examination of an angle; 14. Area of a triangle. 15. Triple halving of the perimeter of a triangle16. Division of a triangle; 17. Triangles; 18. Triangular network (I); 19. Triangular network (II); 20. What is left from a rectangle?; 21. Division of a square; 22. Square network; 23. Lattice points; 24. Lattice points inside a circle; 25. 14 = 15; 26. Polygon; 27. Points and a circle; 28. Geometrical problem; Chapter III: Problems on Space, Polyhedra and Spheres; 29. Division of space; 30. Two projections; 31. Cube; 32. Geodesics; 33. Motion of a particle; 34. Diagrams of the cube; 35. Cubes; 36. Hexahedron; 37. Tetrahedra. 38. Tetrahedron with congruent faces39. Octahedron; 40. Distance on a surface; 41. The wandering of a fly; 42. Regular dodecahedron; 43. Polyhedron; 44. Non-convex polyhedron; 45. Problem from Wonderland; 46. Three spheres and a line; 47. A property of the sphere; Chapter IV Practical and Non-Practical Problems; 48. Puzzle; 49. Picnic ham; 50. Quartering of a pie; 51. Another pie; 52. Weighings; 53. How old is Mrs. Z?; 54. How many fish are there in the pond?; 55. Calibration of rollers; 56. 120 ball-bearings; 57. Ribbon on the roll; 58. Watch with both hands identical. 59. Problems of giants and midgets60. Acks and backs; 61. Statistics; 62. Blood groups; 63. Blood groups again; 64. Excess of labour; 65. Diagonal of a wooden block; 66. The tying of boxes; 67. A primitive device; 68. The minimal length; 69. Division of plots; 70. A practical problem; 71. Neighbouring towns; 72. Railway lines (I); 73. Railway lines (II); 74. Test flight; 75. Sun and Moon; 76. Cosmography; Chapter V Problems on Chess, Volleyball and Pursuit; 77. Chessboard; 78. Chessboard revisited; 79. Rooks on the chessboard; 80. Elliptical billiards; 81. A sports problem (I). 82. A sports problem (II)83. Theory of sport eliminations; 84. Volleyball league; 85. Tournaments; 86. Bicyclist and walkers; 87. Four dogs; 88. Chase (I); 89. Chase (II); 90. Incomplete data; 91. Motorboat (I); 92. Motorboat (II); Chapter VI Mathematical Adventures of Dr. Abracadabrus; 93. The strange number; 94. The tailor's tape; 95. Word quiz; 96. Student debts; 97. A strange social set; 98. Abacus; 99. Washing the streets; 100. French cities; Chapter VII Problems Without Solution; Plus and minus signs; Triangle in a triangle; Parts of a square; Division of a circle; Radii in space. Dover books on mathematics. Sto zada?n. Hugo Steinhaus ; with a foreword by Martin Gardner.

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