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1、FractalsinEngineeringJacquesLévy-VéhelandEvelyneLutton(Eds.)FractalsinEngineeringNewTrendsinTheoryandApplicationsWith106Figures123JacquesLévy-VéhelEvelyneLuttonINRIARocquencourtDomainedeVoluceau-RocquencourtB.P.10578153LeChesnayCedexFranceBritishLibraryCataloguing
2、inPublicationDataFractalsinengineering:newtrendsintheoryandapplications1.Engineeringmathematics2.FractalsI.Lévy-Véhel,Jacques,1960-II.Lutton,Evelyne,1962-620’.001514742ISBN-10:1846280478LibraryofCongressControlNumber:2005927902ISBN-10:1-84628-047-8e-ISBN:1-84628-0
3、48-6Printedonacid-freepaperISBN-13:978-1-84628-047-4©Springer-VerlagLondonLimited2005Apartfromanyfairdealingforthepurposesofresearchorprivatestudy,orcriticismorreview,aspermittedundertheCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,storedor
4、transmitted,inanyformorbyanymeans,withthepriorpermissioninwritingofthepublishers,orinthecaseofreprographicreproductioninaccordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgency.Enquiriesconcerningreproductionoutsidethosetermsshouldbesenttothepublishers.
5、Theuseofregisterednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantlawsandregulationsandthereforefreeforgeneraluse.Thepublishermakesnorepresentation,expressorimplied,withregardtotheaccuracy
6、oftheinfor-mationcontainedinthisbookandcannotacceptanylegalresponsibilityorliabilityforanyerrorsoromissionsthatmaybemade.PrintedinGermany987654321SpringerScience+BusinessMediaspringeronline.comForewordThisvolumeisasequeltothebooksFractals:TheoryandApplicationsinEn
7、gineering(Springer-Verlag,1999)andFractalsinEngineering.FromTheorytoIndustrialApplications(Springer-Verlag,1997),presentingsomeofthemostrecentadvancesinthefield.Itisafascinatingexercisetofollowtheprogressofknowledgeinthisinterdisciplinaryarea,aswitnessedbythesethre
8、evolumes.First,confirmingprevioustrendsobservedin1997and1999,appliedmath-ematicalresearchonfractalshasnowreachedamaturelevel,wherebeautifultheoriesaredev