When Less Is More

Visualizing Basic Inequalities

by Roger B. Nelsen, Claudi Alsina

2009 181 pages eng

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…