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1、Diamondsinmathematicalinequalities1ProposalforabookTranPhuongDirectorofCenterforResearchandSupportDevelopmentofIntellectualProducts.No19/89,ThaiHaStreet,DongDaDistrict,Hanoi,Vietnam.Email:tranphuong.math@yahoo.com;tranphuong.math@gmail.comPhoneNo:(844)5-376-340;
2、(84)913-220-457Assistants’mobilephonenumbers:0061402201501Email:trdieulinh@yahoo.comFax:(84)(04)943-5816(84)(04)719-96412Diamondsinmathematicalinequalities.I.1TitleDiamondsinmathematicalinequalities.I.2.PurposeofthebookThebookaims,first,toprovid
3、estudentswithacomprehensiveandminutesystemoftypicalinequalitydemonstrationmethodsandtechniques,rangingfromclassicaltomodernones,which,duetothefactthattheirimportanceremainsunchangedthroughouttheflowoftime,canbeconsideredas“diamondsinmathematicalinequalities”.Thi
4、smainpurposeisaccomplishedbyanumberofvaluablemathematicsampleswithinteresting“lead-ins”and,mostimportantly,adialecticviewpointoneachsolvingmethod.Themajorgoaloftheauthorsis,therefore,tohelpingstudentstoacquiremultitudeofmathematicaltoolsandmethodsinsolvinginequa
5、lities,then,beabletoachieveexcellenceinthisfield.Besides,onutilizinganewapproachinpresentingfamiliarmathematicalfacts,theauthorsalsohopetohighlightinreaders’mindtheimportanceofagoodmathematicalinequality-basedthinkingindevelopingtheircreativenessaswellastheirabi
6、litytocriticallyevaluatechangesinlife.Thesuccessofthisbookwillalsomeanthepublicationoftheauthors’otherbooksonotherfieldsofsecondarymathematics.I.3.Whyisthisbookdifferentfromothers?·“Money?Eventuallyspent
7、Beauty?Eventuallyfaded...OnlyIntellectrootedinmindAndfeelingsrootedinheartWilllastforeverwithtime(TranPhuong,1990)Diamondsinmathematicalinequalities3ComparisonsinlifeThematerialandspiritualworldintheuniverseisalwaysonthemove,everchangingtocreatedifferentthingsan
8、dphenomena.Thisdiversitycanbeseenthroughoppositeimages:big-small;wide-narrow;long-short;high-low;plentiful-scarce;rich-poor;beautiful-uglyandsoon.Extensively,itisthat
