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When less is more : visualizing basic inequalities / Claudi Alsina, Roger B. Nelsen.
Material type:
TextSeries: Publication details: [Washington, D.C.] : Mathematical Association of America, 2009.Description: 181 p. : illISBN: - 9780883853429
- 0883853426
- QA295 A461 W 2009
English Books
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English Books
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MATRIX Library General Eng/FL.3 | General Books | QA295 A461 W 2009 (Browse shelf(Opens below)) | C.1 | Available | 1000386003 |
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| QA279 R929 B 2012 Bayesian analysis of stochastic process models / | QA279 T157 S7 2009 Statistical analysis of designed experiments : | QA279.5 H371 B 2012 Bayesian estimation and tracking : | a practical guide / | QA295 A461 W 2009 When less is more : | visualizing basic inequalities / | QA297 B618 2010 The birth of numerical analysis / | QA297 B949 N8 2001 Numerical Analysis / | QA297 C466 M3 2013 Matlab programming with applications for engineers / |
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.
HKBU library
YT2025 M10
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
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