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1、PrefaceNumericalComputingwithMATLABisatextbookforanintroductorycourseinnumericalmethods,Matlab,andtechnicalcomputing.Theemphasisisonin-formeduseofmathematicalsoftware.Wewantyoulearnenoughaboutthemathe-maticalfunctionsinMatlabthatyouwillbeabletousethemcor
2、rectly,appreciatetheirlimitations,andmodifythemwhennecessarytosuityourownneeds.Thetopicsinclude²introductiontoMatlab,²linearequations,²interpolation,²zeroandroots,²leastsquares,²quadrature,²ordinarydi®erentialequations,²randomnumbers,²Fourieranalysis,²ei
3、genvaluesandsingularvalues,²partialdi®erentialequations.GeorgeForsytheinitiatedasoftware-basednumericalmethodscourseatStan-fordUniversityinthelate1960s.ThetextbooksbyForsythe,Malcolm,andMoler[1]andKahaner,Moler,andNash[2]thatevolvedfromtheStanfordcoursew
4、erebaseduponlibrariesofFortransubroutines.ThistextbookisbaseduponMatlab.NCM,acollectionofover70M-¯les,formsanessentialpartofthebook.Manyoftheover200exercisesinvolvemodifyingandextendingtheprogramsinNCM.Thebookalsomakesextensiveuseofcomputergraphics,inclu
5、dinginteractivegraphicalexpositionsofnumericalalgorithms.Theprerequisitesforthecourse,andthebook,includeFebruary15,200812Preface²calculus,²somefamiliaritywithordinarydi®erentialequations,²somefamiliaritywithmatrices,²somecomputerprogrammingexperience.Ify
6、ou'veneverusedMatlabbefore,the¯rstchapterwillhelpyougetstarted.Ifyou'realreadyfamiliarwithMatlab,youcanglanceovermostofthe¯rstchapterquickly.Everyoneshouldreadthesectioninthe¯rstchapterabout°oating-pointarithmetic.Thereisprobablytoomuchmaterialhereforaon
7、e-quarterorone-semestercourse.Plantocoverthe¯rstseveralchaptersandthenchoosetheportionsofthelastfourchaptersthatinterestyou.MakesurethattheNCMcollectionisinstalledonyournetworkoryourper-sonalcomputerasyoureadthebook.ThesoftwareisavailablefromaWebsitedevo
8、tedtothebook[3]:http://www.mathworks.com/molerTherearethreetypesofNCM¯les:²gui¯les:interactivegraphicaldemonstrations;²tx¯les:textbookimplementationsofbuilt-inMatlabfunctions;²others:miscellaneous¯les,primarilyassociatedwi
