When less is more : visualizing basic inequalities
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
eBook, English, ©2009
Mathematical Association of America, [Washington, D.C.], ©2009
1 online resource (xix, 181 pages) : illustrations, portraits
9780883853429, 0883853426
817962671
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
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