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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Collectivité auteur: | |
| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
[Washington, D.C.] :
Mathematical Association of America,
c2009.
|
| Collection: | Dolciani mathematical expositions ;
no. 36 |
| Sujets: | |
| Accès en ligne: | An electronic book accessible through the World Wide Web; click to view |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
Table des matières:
- 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.