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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Autor principal: Alsina, Claudi
Autor corporatiu: Mathematical Association of America, ebrary, Inc
Altres autors: Nelsen, Roger B.
Format: Electrònic eBook
Idioma:anglès
Publicat: Washington, D.C. : Mathematical Association of America, c2010.
Col·lecció:Dolciani mathematical expositions ; no. 42
Matèries:
Accés en línia:An electronic book accessible through the World Wide Web; click to view
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Taula de continguts:
  • 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.