Charming proofs a journey into elegant mathematics /

"Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs presen...

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Hlavní autor: Alsina, Claudi
Korporace: Mathematical Association of America, ebrary, Inc
Další autoři: Nelsen, Roger B.
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Washington, D.C. : Mathematical Association of America, c2010.
Edice:Dolciani mathematical expositions ; no. 42
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On-line přístup:An electronic book accessible through the World Wide Web; click to view
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Obsah:
  • A garden of integers
  • Distinguished numbers
  • Points in the plane
  • The polygonal playground
  • A treasury of triangle theorems
  • The enchantment of the equilateral triangle
  • The quadrilaterals' corner
  • Squares everywhere
  • Curves ahead
  • Adventures in tiling and coloring
  • Geometry in three dimensions
  • Additional theorems, problems, and proofs.