Claudi Alsina
Author
Series
Dolciani mathematical expositions volume number fifty
Publisher
Mathematical Association of America
Pub. Date
2015.
Language
English
Author
Publisher
Mathematical Association of America
Pub. Date
c2009
Language
English
Description
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...
Author
Publisher
Mathematical Association of America
Pub. Date
c2010
Language
English
Description
"Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a...