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100 Great Problems of Elementary Mathematics

Heinrich Dörrie
Publisher: 
Dover Publications
Publication Date: 
1965
Number of Pages: 
393
Format: 
Paperback
Price: 
12.95
ISBN: 
0486613488
Category: 
General
We do not plan to review this book.

 

ARITHMETICAL PROBLEMS
  1. Archimedes' Problem Bovinum
  2. The Weight Problem of Bachet de Méziriac
  3. Newton's Problem of the Fields and Cows
  4. Berwick's Problem of the Seven Sevens
  5. Kirkman's Schoolgirl Problem
  6. The Bernoulli-Euler Problem of the Misaddressed Letters
  7. Euler's Problem of Polygon Division
  8. Lucas' Problem of the Married Couples
  9. Omar Khayyam's Binomial Expansion
  10. Cauchy's Mean Theorem
  11. Bernoulli's Per Sum Problem
  12. The Euler Number
  13. Newton's Exponential Series
  14. Nicolaus Macerator's Logarithmic Series
  15. Newton's Sine and Cosine Series
  16. André's Derivation of the Secant and Tangent Series
  17. Gregory's Arc Tangent Series
  18. Buffon's Needle Problem
  19. The Fermat-Euler Prime Number Theorem
  20. The Fermat Equation
  21. The Fermat-Gauss Impossibility Theorem
  22. The Quadratic Reciprocity Law
  23. Gauss' Fundamental Theorem of Algebra
  24. Sturm's Problem of the Number of Roots
  25. Abel's Impossibility Theorem
  26. The Hermite-Lindemann Transcendence Theorem
  PLANIMETRIC PROBLEMS
  27. Euler's Straight Line
  28. The Feuerbach Circle
  29. Castillon's Problem
  30. Malfatti's Problem
  31. Monge's Problem
  32. The Tangency Problem of Apollonius
  33. Mascheroni's Compass Problem
  34. Steiner's Straight-edge Problem
  35. The Delian Cube-doubling Problem
  36. Trisection of an Angle
  37. The Regular Heptadecagon
  38. Archimedes' Determination of the Number Pi
  39. Fuss' Problem of the Chord-Tangent Quadrilateral
  40. Annex to a Survey
  41. Alhazen's Billiard Problem
  PROBLEMS CONCERNING CONIC SECTIONS AND CYCLOIDS
  42. An Ellipse from Conjugate Radii
  43. An Ellipse in a Parallelogram
  44. A Parabola from Four Tangents
  45. A Parabola from Four Points
  46. A Hyperbola from Four Points
  47. Van Schooten's Locus Problem
  48. Cardan's Spur Wheel Problem
  49. Newton's Ellipse Problem
  50. The Poncelet-Brianchon Hyperbola Problem
  51. A Parabola as Envelope
  52. The Astroid
  53. Steiner's Three-pointed Hypocycloid
  54. The Most Nearly Circular Ellipse Circumscribing a Quadrilateral
  55. The Curvature of Conic Sections
  56. Archimedes' Squaring of a Parabola
  57. Squaring a Hyperbola
  58. Rectification of a Parabola
  59. Desargue's Homology Theorem (Theorem of Homologous Triangles)
  60. Steiner's Double Element Construction
  61. Pascal's Hexagon Theorem
  62. Brianchon's Hexagram Theorem
  63. Desargues' Involution Theorem
  64. A Conic Section from Five Elements
  65. A Conic Section and a Straight Line
  66. A Conic Section and a Point
  STEREOMETRIC PROBLEMS
  67. Steiner's Division of Space by Planes
  68. Euler's Tetrahedron Problem
  69. The Shortest Distance Between Skew Lines
  70. The Sphere Circumscribing a Tetrahedron
  71. The Five Regular Solids
  72. The Square as an Image of a Quadrilateral
  73. The Pohlke-Schwartz Theorem
  74. Gauss' Fundamental Theorem of Axonometry
  75. Hipparchus' Stereographic Projection
  76. The Mercator Projection
  NAUTICAL AND ASTRONOMICAL PROBLEMS
  77. The Problem of the Loxodrome
  78. Determining the Position of a Ship at Sea
  79. Gauss' Two-Altitude Problem
  80. Gauss' Three-Altitude Problem
  81. The Kepler Equation
  82. Star Setting
  83. The Problem of the Sundial
  84. The Shadow Curve
  85. Solar and Lunar Eclipses
  86. Sidereal and Synodic Revolution Periods
  87. Progressive and Retrograde Motion of the Planets
  88. Lambert's Comet Problem
  EXTREMES
  89. Steiner's Problem Concerning the Euler Number
  90. Fagnano's Altitude Base Point Problem
  91. Fermat's Problem for Torricelli
  92. Tacking Under a Headwind
  93. The Honeybee Cell (Problem by Réaumur)
  94. Regiomontanus' Maximum Problem
  95. The Maximum Brightness of Venus
  96. A Comet Inside the Earth's Orbit
  97. The Problem of the Shortest Twilight
  98. Steiner's Ellipse Problem
  99. Steiner's Circle Problem
  100. Steiner's Sphere Problem
  Index of Names

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