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...
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| Year of Publication: | 2009 |
| Language: | English |
| Series: | Dolciani mathematical expositions ;
no. 36 |
| Online Access: | |
| Physical Description: | xix, 181 p. :; ill., ports. |
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| 020 | |z 9780883853429 (hbk.) | ||
| 020 | |z 0883853426 (hbk.) | ||
| 020 | |a 9781614442028 (electronic bk.) | ||
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| 100 | 1 | |a Alsina, Claudi. | |
| 245 | 1 | 0 | |a When less is more |h [electronic resource] : |b visualizing basic inequalities / |c Claudi Alsina, Roger B. Nelsen. |
| 260 | |a [Washington, D.C.] : |b Mathematical Association of America, |c c2009. | ||
| 300 | |a xix, 181 p. : |b ill., ports. | ||
| 440 | 0 | |a Dolciani mathematical expositions ; |v no. 36 | |
| 504 | |a Includes bibliographical references (p. 171-177) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 533 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
| 650 | 0 | |a Inequalities (Mathematics) | |
| 650 | 0 | |a Visualization. | |
| 650 | 0 | |a Geometrical drawing. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Nelsen, Roger B. | |
| 710 | 2 | |a ProQuest (Firm) | |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=3330372 |z Click to View |