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- 2008942145 abstract "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".
- 2008942145 contributor B11390906.
- 2008942145 contributor B11390907.
- 2008942145 created "c2009.".
- 2008942145 date "2009".
- 2008942145 date "c2009.".
- 2008942145 dateCopyrighted "c2009.".
- 2008942145 description "Includes bibliographical references (p. 171-177) and index.".
- 2008942145 description "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.".
- 2008942145 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 more analytical in their statements as well as their proofs. --from publisher description".
- 2008942145 extent "xix, 181 p. :".
- 2008942145 identifier "0883853426 (hbk.)".
- 2008942145 identifier "9780883853429 (hbk.)".
- 2008942145 identifier 2008942145-b.html.
- 2008942145 identifier 2008942145-d.html.
- 2008942145 identifier 2008942145-t.html.
- 2008942145 isPartOf "Dolciani mathematical expositions ; no. 36.".
- 2008942145 isPartOf "The Dolciani mathematical expositions ; no. 36".
- 2008942145 issued "2009".
- 2008942145 issued "c2009.".
- 2008942145 language "eng".
- 2008942145 publisher "[Washington, D.C.] : Mathematical Association of America,".
- 2008942145 subject "515.26 22".
- 2008942145 subject "Geometrical drawing.".
- 2008942145 subject "Inequalities (Mathematics)".
- 2008942145 subject "QA295 .A545 2009".
- 2008942145 subject "Visualization.".
- 2008942145 tableOfContents "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.".
- 2008942145 title "When less is more : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.".
- 2008942145 type "text".