01721cam a22002777a 4500 081120s2009 dcuac b 001 0 eng d 9780883853429 0883853426 SDU QA295 A461 W 2009 Alsina, Claudi. 192616 When less is more : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen. [Washington, D.C.] : Mathematical Association of America, 2009. 181 p. : ill. The Dolciani mathematical expositions ; no. 36 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 YT2025 M10 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 Inequalities (Mathematics) 159520 Visualization. Geometrical drawing. 192617 Nelsen, Roger B. 192618 = C.1 SDU GBE lcc 103777 103777 0 0 lcc 0 QA0295 A461 W2009 0 CGB 284253 SDU SDU GEN3 2025-10-08 2 0 QA295 A461 W 2009 1000386003 2025-10-08 00:00:00 C.1 2025-10-08 GBE