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...

Повний опис

Збережено в:
Бібліографічні деталі
Автор: Alsina, Claudi
Співавтор: ebrary, Inc
Інші автори: Nelsen, Roger B.
Формат: Електронний ресурс eКнига
Мова:Англійська
Опубліковано: [Washington, D.C.] : Mathematical Association of America, c2009.
Серія:Dolciani mathematical expositions ; no. 36
Предмети:
Онлайн доступ:An electronic book accessible through the World Wide Web; click to view
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Зміст:
  • 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.