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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Detalhes bibliográficos
Autor principal: Alsina, Claudi
Autores corporativos: Mathematical Association of America, ebrary, Inc
Outros Autores: Nelsen, Roger B.
Formato: Recurso Eletrônico livro eletrônico
Idioma:inglês
Publicado em: Washington, D.C. : Mathematical Association of America, c2010.
coleção:Dolciani mathematical expositions ; no. 42
Assuntos:
Acesso em linha:An electronic book accessible through the World Wide Web; click to view
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Sumário:
  • 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.