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000490533 010__ $$z  2008942145
000490533 020__ $$z9780883853429 (hbk.)
000490533 020__ $$z0883853426 (hbk.)
000490533 020__ $$z9781614442028 (e-book)
000490533 035__ $$a(CaPaEBR)ebr10728521
000490533 035__ $$a(OCoLC)817962671
000490533 040__ $$aCaPaEBR$$cCaPaEBR
000490533 05014 $$aQA295$$b.A545 2009eb
000490533 08204 $$a515.26$$222
000490533 1001_ $$aAlsina, Claudi.
000490533 24510 $$aWhen less is more$$h[electronic resource] :$$bvisualizing basic inequalities /$$cClaudi Alsina, Roger B. Nelsen.
000490533 260__ $$a[Washington, D.C.] :$$bMathematical Association of America,$$cc2009.
000490533 300__ $$axix, 181 p. :$$bill., ports.
000490533 440_0 $$aDolciani mathematical expositions ;$$vno. 36
000490533 504__ $$aIncludes bibliographical references (p. 171-177) and index.
000490533 5050_ $$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.
000490533 506__ $$aAccess limited to authorized users.
000490533 520__ $$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.
000490533 650_0 $$aInequalities (Mathematics)
000490533 650_0 $$aVisualization.
000490533 650_0 $$aGeometrical drawing.
000490533 7001_ $$aNelsen, Roger B.
000490533 852__ $$bebk
000490533 85640 $$3ProQuest Ebook Central Academic Complete$$uhttps://univsouthin.idm.oclc.org/login?url=http://site.ebrary.com/lib/usiricelib/Doc?id=10728521$$zOnline Access
000490533 909CO $$ooai:library.usi.edu:490533$$pGLOBAL_SET
000490533 980__ $$aEBOOK
000490533 980__ $$aBIB
000490533 982__ $$aEbook
000490533 983__ $$aOnline