When less is more visualizing basic inequalities /

The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs...

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Hlavní autor: Alsina, Claudi
Korporativní autor: ebrary, Inc
Další autoři: Nelsen, Roger B.
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: [Washington, D.C.] : Mathematical Association of America, c2009.
Edice:Dolciani mathematical expositions ; no. 36
Témata:
On-line přístup:An electronic book accessible through the World Wide Web; click to view
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Obsah:
  • Representing positive numbers as lengths of segments
  • Representing positive numbers as areas or volumes
  • Inequalities and the existence of triangles
  • Using incircles and circumcircles
  • Using reflections
  • Using rotations
  • Employing non-isometric transformations
  • Employing graphs of functions
  • Additional topics.