| 000 | 02429nam a2200433 a 4500 | ||
|---|---|---|---|
| 001 | EBC3330372 | ||
| 003 | MiAaPQ | ||
| 005 | 20240123115422.0 | ||
| 006 | m o d | | ||
| 007 | cr cn||||||||| | ||
| 008 | 081120s2009 dcuac sb 001 0 eng d | ||
| 010 | _z 2008942145 | ||
| 020 | _z9780883853429 (hbk.) | ||
| 020 | _z0883853426 (hbk.) | ||
| 020 | _a9781614442028 (electronic bk.) | ||
| 035 | _a(MiAaPQ)EBC3330372 | ||
| 035 | _a(Au-PeEL)EBL3330372 | ||
| 035 | _a(CaPaEBR)ebr10728521 | ||
| 035 | _a(OCoLC)929120460 | ||
| 040 |
_aMiAaPQ _cMiAaPQ _dMiAaPQ |
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| 050 | 4 |
_aQA295 _b.A545 2009 |
|
| 082 | 0 | 4 |
_a515.26 _222 |
| 100 | 1 | _aAlsina, Claudi. | |
| 245 | 1 | 0 |
_aWhen less is more _h[electronic resource] : _bvisualizing basic inequalities / _cClaudi Alsina, Roger B. Nelsen. |
| 260 |
_a[Washington, D.C.] : _bMathematical Association of America, _cc2009. |
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| 300 |
_axix, 181 p. : _bill., ports. |
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| 440 | 0 |
_aDolciani mathematical expositions ; _vno. 36 |
|
| 504 | _aIncludes bibliographical references (p. 171-177) and index. | ||
| 505 | 0 | _aRepresenting 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 | _aThe 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 | _aElectronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
| 650 | 0 | _aInequalities (Mathematics) | |
| 650 | 0 | _aVisualization. | |
| 650 | 0 | _aGeometrical drawing. | |
| 655 | 4 | _aElectronic books. | |
| 700 | 1 | _aNelsen, Roger B. | |
| 710 | 2 | _aProQuest (Firm) | |
| 856 | 4 | 0 |
_uhttps://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=3330372 _zClick to View |
| 999 |
_c193324 _d193324 |
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