When less is more : visualizing basic inequalities / / Claudi Alsina, Roger B. Nelsen.
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...
Saved in:
| : | |
|---|---|
| TeilnehmendeR: | |
| Year of Publication: | 2009 |
| Language: | English |
| Series: | Dolciani mathematical expositions ;
no. 36 |
| Online Access: | |
| Physical Description: | xix, 181 p. :; ill., ports. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- 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.