LEADER 03573nam 22006732 450 001 9910450557103321 005 20151005020623.0 010 $a1-316-09932-6 010 $a1-107-15043-4 010 $a9786613329264 010 $a0-511-21311-5 010 $a0-511-21134-1 010 $a1-283-32926-3 010 $a0-511-81710-X 010 $a0-511-21492-8 010 $a0-511-21671-8 010 $a0-511-56706-5 035 $a(CKB)1000000000014392 035 $a(EBL)266639 035 $a(OCoLC)123416125 035 $a(SSID)ssj0000277723 035 $a(PQKBManifestationID)11195180 035 $a(PQKBTitleCode)TC0000277723 035 $a(PQKBWorkID)10240973 035 $a(PQKB)10851106 035 $a(UkCbUP)CR9780511817106 035 $a(MiAaPQ)EBC266639 035 $a(Au-PeEL)EBL266639 035 $a(CaPaEBR)ebr10131594 035 $a(CaONFJC)MIL332926 035 $a(OCoLC)144618405 035 $a(EXLCZ)991000000000014392 100 $a20101021d2004|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Cauchy-Schwarz master class $ean introduction to the art of mathematical inequalities /$fJ. Michael Steele$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2004. 215 $a1 online resource (x, 306 pages) $cdigital, PDF file(s) 225 1 $aMAA problem books series 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-83775-8 311 $a0-521-54677-X 320 $aIncludes bibliographical references (p. 292-301) and index. 327 $aCover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Starting with Cauchy; 2 Cauchy's Second Inequality: The AM-GM Bound; 3 Lagrange's Identity and Minkowski's Conjecture; 4 On Geometry and Sums of Squares; 5 Consequences of Order; 6 Convexity - The Third Pillar; 7 Integral Intermezzo; 8 The Ladder of Power Means; 9 Ho?lder's Inequality; 10 Hilbert's Inequality and Compensating Dificulties; 11 Hardy's Inequality and the Flop; 12 Symmetric Sums; 13 Majorization and Schur Convexity; 14 Cancellation and Aggregation; Solutions to the Exercises; Chapter Notes; References; Index 330 $aThis lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Ho?lder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics. 410 0$aMAA problem books series. 606 $aInequalities (Mathematics) 615 0$aInequalities (Mathematics) 676 $a512.9/7 700 $aSteele$b J. Michael$065676 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910450557103321 996 $aThe Cauchy-Schwarz master class$91897032 997 $aUNINA LEADER 02065oam 2200517M 450 001 9910716592103321 005 20200213070631.5 035 $a(CKB)5470000002522230 035 $a(OCoLC)1066023896 035 $a(OCoLC)995470000002522230 035 $a(EXLCZ)995470000002522230 100 $a20071213d1927 ua 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAuthorizing the Secretary of War to exchange deteriorated and unserviceable ammunition and components. February 23, 1927. -- Committed to the Committee of the Whole House on the State of the Union and ordered to be printed 210 1$a[Washington, D.C.] :$c[U.S. Government Printing Office],$d1927. 215 $a1 online resource (3 pages) 225 1 $aHouse report / 69th Congress, 2nd session. House ;$vno. 2227 225 1 $a[United States congressional serial set] ;$v[serial no. 8689] 300 $aBatch processed record: Metadata reviewed, not verified. Some fields updated by batch processes. 300 $aFDLP item number not assigned. 606 $aAmmunition 606 $aUnexploded ordnance 606 $aManufactures$xDefects 606 $aLegislative amendments 606 $aGovernment auctions 606 $aFinance, Public 608 $aLegislative materials.$2lcgft 615 0$aAmmunition. 615 0$aUnexploded ordnance. 615 0$aManufactures$xDefects. 615 0$aLegislative amendments. 615 0$aGovernment auctions. 615 0$aFinance, Public. 701 $aWurzbach$b Harry McLeary$f1874-1931$pRepublican (TX)$01386829 801 0$bWYU 801 1$bWYU 801 2$bOCLCO 801 2$bOCLCQ 906 $aBOOK 912 $a9910716592103321 996 $aAuthorizing the Secretary of War to exchange deteriorated and unserviceable ammunition and components. February 23, 1927. -- Committed to the Committee of the Whole House on the State of the Union and ordered to be printed$93528776 997 $aUNINA