When less is more [[electronic resource] ] : visualizing basic inequalities / / Claudi Alsina, Roger B. Nelsen
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Alsina Claudi
|
| Titolo: |
When less is more [[electronic resource] ] : visualizing basic inequalities / / Claudi Alsina, Roger B. Nelsen
|
| Pubblicazione: | [Washington, D.C.], : Mathematical Association of America, c2009 |
| Descrizione fisica: | 1 online resource (204 p.) |
| Disciplina: | 515.26 |
| Soggetto topico: | Inequalities (Mathematics) |
| Visualization | |
| Geometrical drawing | |
| Soggetto genere / forma: | Electronic books. |
| Altri autori: |
NelsenRoger B
|
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references (p. 171-177) and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. The second and largest set of inequalities are geometric both in their statements and in their proofs. Toward the end of the book some inequalities are more analytical in their statements as well as their proofs--From publisher description. |
| Titolo autorizzato: | When less is more |
| ISBN: | 1-61444-202-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910465226103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Dolciani Mathematical Expositions