02766nam 2200625 a 450 991046522610332120200520144314.01-61444-202-9(CKB)2560000000081396(EBL)3330372(OCoLC)923220486(SSID)ssj0000577774(PQKBManifestationID)11378682(PQKBTitleCode)TC0000577774(PQKBWorkID)10577246(PQKB)10511719(UkCbUP)CR9781614442028(MiAaPQ)EBC3330372(Au-PeEL)EBL3330372(CaPaEBR)ebr10728521(OCoLC)929120460(EXLCZ)99256000000008139620081120d2009 uy 0engur|n|---|||||txtccrWhen less is more[electronic resource] visualizing basic inequalities /Claudi Alsina, Roger B. Nelsen[Washington, D.C.] Mathematical Association of Americac20091 online resource (204 p.)Dolciani mathematical expositions ;no. 36Description based upon print version of record.0-88385-342-6 Includes bibliographical references (p. 171-177) and index.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.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.Dolciani Mathematical ExpositionsInequalities (Mathematics)VisualizationGeometrical drawingElectronic books.Inequalities (Mathematics)Visualization.Geometrical drawing.515.26Alsina Claudi309455Nelsen Roger B55994MiAaPQMiAaPQMiAaPQBOOK9910465226103321When less is more2070843UNINA