When less is more [electronic resource] : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.
Alsina, Claudi.; Nelsen, Roger B.
2009
QA295 .A545 2009eb
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Title
When less is more [electronic resource] : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.
Author
Alsina, Claudi.
ISBN
9780883853429 (hbk.)
0883853426 (hbk.)
9781614442028 (e-book)
Publication Details
[Washington, D.C.] : Mathematical Association of America, c2009.
Language
English
Description
xix, 181 p. : ill., ports.
Call Number
QA295 .A545 2009eb
Dewey Decimal Classification
515.26
Summary
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.
Bibliography, etc. Note
Includes bibliographical references (p. 171-177) and index.
Access Note
Access limited to authorized users.
Added Author
Nelsen, Roger B.
Series
Dolciani mathematical expositions ; no. 36
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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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