visualizing basic inequalities Alsina, Claudi. creator Nelsen, Roger B. ebrary, Inc text bibliography Electronic books. dcu Washington, D.C.] Mathematical Association of America c2009 2009 monographic eng

electronic

electronic resource

xix, 181 p. : ill., ports. 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. 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. Claudi Alsina, Roger B. Nelsen. Includes bibliographical references (p. 171-177) and index. Electronic reproduction. Palo Alto, Calif. : ebrary, 2013. Available via World Wide Web. Access may be limited to ebrary affiliated libraries. Inequalities (Mathematics) Visualization Geometrical drawing QA295 .A545 2009eb 515.26 http://site.ebrary.com/lib/rucke/Doc?id=10728521 http://site.ebrary.com/lib/rucke/Doc?id=10728521 CaPaEBR 081120 ebr10728521