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...
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Kaituhi rangatōpū: | |
| Ētahi atu kaituhi: | |
| Hōputu: | Tāhiko īPukapuka |
| Reo: | Ingarihi |
| I whakaputaina: |
[Washington, D.C.] :
Mathematical Association of America,
c2009.
|
| Rangatū: | Dolciani mathematical expositions ;
no. 36 |
| Ngā marau: | |
| Urunga tuihono: | An electronic book accessible through the World Wide Web; click to view |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
Rārangi ihirangi:
- 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.