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: | |
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| Korporativní autor: | |
| Další autoři: | |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
[Washington, D.C.] :
Mathematical Association of America,
c2009.
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| 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.