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

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181 p. : ill. 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. HKBU library Claudi Alsina, Roger B. Nelsen. YT2025 M10 Inequalities (Mathematics) Visualization Geometrical drawing QA295 A461 W 2009 9780883853429 0883853426 SDU 081120