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...
Zapisane w:
| 1. autor: | |
|---|---|
| Korporacja: | |
| Kolejni autorzy: | |
| Format: | Elektroniczne E-book |
| Język: | angielski |
| Wydane: |
[Washington, D.C.] :
Mathematical Association of America,
c2009.
|
| Seria: | Dolciani mathematical expositions ;
no. 36 |
| Hasła przedmiotowe: | |
| Dostęp online: | An electronic book accessible through the World Wide Web; click to view |
| Etykiety: |
Dodaj etykietę
Nie ma etykietki, Dołącz pierwszą etykiete!
|
Spis treści:
- 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.