MARC record from Internet Archive

LEADER: 02350cam a22003857a 4500
001 2008942145
003 DLC
005 20130518082311.0
008 081120s2009 dcuac b 001 0 eng d
010 $a 2008942145
015 $aGBA937399$2bnb
016 7 $a015110151$2Uk
020 $a9780883853429 (hbk.)
020 $a0883853426 (hbk.)
035 $a(OCoLC)ocn308195498
040 $aBTCTA$cBTCTA$dYDXCP$dUKM$dOMM$dIBS$dIXA$dCDX$dSGB$dDLC
042 $alccopycat
050 00 $aQA295$b.A545 2009
082 04 $a515.26$222
100 1 $aAlsina, Claudi.
245 10 $aWhen less is more :$bvisualizing basic inequalities /$cClaudi Alsina, Roger B. Nelsen.
260 $a[Washington, D.C.] :$bMathematical Association of America,$cc2009.
300 $axix, 181 p. :$bill., ports. ;$c24 cm.
490 1 $aThe Dolciani mathematical expositions ;$vno. 36
504 $aIncludes bibliographical references (p. 171-177) and index.
505 0 $aRepresenting 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.
520 $aThe 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
650 0 $aInequalities (Mathematics)
650 0 $aVisualization.
650 0 $aGeometrical drawing.
700 1 $aNelsen, Roger B.
830 0 $aDolciani mathematical expositions ;$vno. 36.
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0906/2008942145-d.html
856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/enhancements/fy0906/2008942145-t.html
856 42 $3Contributor biographical information$uhttp://www.loc.gov/catdir/enhancements/fy0906/2008942145-b.html