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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| 格式: | 電子 電子書 |
| 語言: | 英语 |
| 出版: |
[Washington, D.C.] :
Mathematical Association of America,
c2009.
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| 叢編: | Dolciani mathematical expositions ;
no. 36 |
| 主題: | |
| 在線閱讀: | An electronic book accessible through the World Wide Web; click to view |
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書本目錄:
- 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.