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135   $aur|n|---|||||
181   $ctxt
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183   $acr
200 10$aWhen less is more$b[electronic resource] $evisualizing basic inequalities /$fClaudi Alsina, Roger B. Nelsen
210   $a[Washington, D.C.] $cMathematical Association of America$dc2009
215   $a1 online resource (204 p.)
225  0$aDolciani mathematical expositions ;$vno. 36
300   $aDescription based upon print version of record.
311   $a0-88385-342-6 
320   $aIncludes bibliographical references (p. 171-177) and index.
327   $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.
330   $aThe proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs. The second and largest set of inequalities are geometric both in their statements and in their proofs. Toward the end of the book some inequalities are more analytical in their statements as well as their proofs--From publisher description.
410  0$aDolciani Mathematical Expositions
606   $aInequalities (Mathematics)
606   $aVisualization
606   $aGeometrical drawing
608   $aElectronic books.
615  0$aInequalities (Mathematics)
615  0$aVisualization.
615  0$aGeometrical drawing.
676   $a515.26
700   $aAlsina$b Claudi$0309455
701   $aNelsen$b Roger B$055994
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910465226103321
996   $aWhen less is more$92070843
997   $aUNINA