When less is more : visualizing basic inequalities /

When less is more : visualizing basic inequalities / / Claudi Alsina, Roger B. Nelsen.

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...

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ProQuest (Firm)
Alsina, Claudi.
TeilnehmendeR:
Nelsen, Roger B.
ProQuest (Firm)
Year of Publication:2009
Language:English
Series:Dolciani mathematical expositions ; no. 36
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Physical Description:xix, 181 p. :; ill., ports.
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ctrlnum (MiAaPQ)5003330372
(Au-PeEL)EBL3330372
(CaPaEBR)ebr10728521
(OCoLC)929120460
collection bib_alma
record_format marc
spelling Alsina, Claudi.
When less is more [electronic resource] : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.
[Washington, D.C.] : Mathematical Association of America, c2009.
xix, 181 p. : ill., ports.
Dolciani mathematical expositions ; no. 36
Includes bibliographical references (p. 171-177) and index.
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.
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.
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
Inequalities (Mathematics)
Visualization.
Geometrical drawing.
Electronic books.
Nelsen, Roger B.
ProQuest (Firm)
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=3330372 Click to View
language English
format Electronic
eBook
author Alsina, Claudi.
spellingShingle Alsina, Claudi.
When less is more visualizing basic inequalities /
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.
author_facet Alsina, Claudi.
Nelsen, Roger B.
ProQuest (Firm)
ProQuest (Firm)
author_variant c a ca
author2 Nelsen, Roger B.
ProQuest (Firm)
author2_variant r b n rb rbn
author2_role TeilnehmendeR
TeilnehmendeR
author_corporate ProQuest (Firm)
author_sort Alsina, Claudi.
title When less is more visualizing basic inequalities /
title_sub visualizing basic inequalities /
title_full When less is more [electronic resource] : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.
title_fullStr When less is more [electronic resource] : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.
title_full_unstemmed When less is more [electronic resource] : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.
title_auth When less is more visualizing basic inequalities /
title_new When less is more
title_sort when less is more visualizing basic inequalities /
publisher Mathematical Association of America,
publishDate 2009
physical xix, 181 p. : ill., ports.
contents 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.
isbn 9781614442028 (electronic bk.)
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA295
callnumber-sort QA 3295 A545 42009
genre Electronic books.
genre_facet Electronic books.
url https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=3330372
illustrated Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.26
dewey-sort 3515.26
dewey-raw 515.26
dewey-search 515.26
oclc_num 929120460
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