Comprehensive Mathematics for Computer Scientists 2(Springer 2005)

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1、GuerinoMazzola·GérardMilmeisterJodyWeissmannComprehensiveMathematicsforComputerScientists2CalculusandODEs,Splines,Probability,FourierandWaveletTheory,FractalsandNeuralNetworks,CategoriesandLambdaCalculusWith114Figures123GuerinoMazzolaGérardMilmeisterJodyWeissmannDepartmentofInformaticsUni

2、versityofZurichWinterthurerstr.1908057Zurich,SwitzerlandThetexthasbeencreatedusingLATEX2ε.ThegraphicsweredrawnusingtheopensourceillustratingsoftwareDiaandInkscape,withalittlehelpfromMathematica.ThemaintexthasbeensetintheY&YLucidaBrighttypefamily,theheadinginBitstreamZapfHumanist601.Librar

3、yofCongressControlNumber:2004102307MathematicsSubjectClassification(1998):00A06ISBN3-540-20861-5SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,r

4、ecitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliabl

5、eforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronline.com©Springer-VerlagBerlinHeidelberg2005PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,th

6、atsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:ErichKirchner,HeidelbergTypesetting:CamerareadybytheauthorsProduction:LE-TEXJelonek,Schmidt&V¨ocklerGbR,LeipzigPrintedonacid-freepaper40/3142YL-543210PrefaceThissecondvolumeofacomprehe

7、nsivetourthroughmathematicalcoresubjectsforcomputerscientistscompletesthefirstvolumeintwore-gards:PartIIIfirstaddstopology,differential,andintegralcalculustothetop-icsofsets,graphs,algebra,formallogic,machines,andlineargeometry,ofvolume1.Withthisspectrumoffundamentalsi