Linear and Nonlinear Integral Equations

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1、Abdul-MajidWazwazLinearandNonlinearIntegralEquationsMethodsandApplicationsAbdul-MajidWazwazLinearandNonlinearIntegralEquationsMethodsandApplicationsWith4figures~-:trIti>j:Pt.~llH!HIGHEREDUCATIONPRESSf1SpringerTHISBOOKISDEDICATEDTOmywife,ourson,andourthreedaughtersforsupportingmein

2、allmyendeavorsPrefaceManyremarkableadvanceshavebeenmadeinthefieldofintegralequa-tions,buttheseremarkabledevelopmentshaveremainedscatteredinavari-etyofspecializedjournals.Thesenewideasandapproacheshaverarelybeenbroughttogetherintextbookform.Iftheseideasmerelyremaininscholarlyjournal

3、sandnevergetdiscussedintextbooks,thenspecialistsandstudentswillnotbeabletobenefitfromtheresultsofthevaluableresearchachieve-ments.Theexplosivegrowthinindustryandtechnologyrequiresconstructivead-justmentsinmathematicstextbooks.Thevaluableachievementsinresearchworkarenotfoundinmanyof

4、today’stextbooks,buttheyareworthyofad-ditionandstudy.Thetechnologyismovingrapidly,whichispushingforvalu-ableinsightsintosomesubstantialapplicationsanddevelopedapproaches.Themathematicstaughtintheclassroomshouldcometoresemblethemathe-maticsusedinvariedapplicationsofnonlinearscience

5、modelsandengineeringapplications.Thisbookwaswrittenwiththesethoughtsinmind.LinearandNonlinearIntegralEquations:MethodsandApplicationsisde-signedtoserveasatextandareference.Thebookisdesignedtobeacces-sibletoadvancedundergraduateandgraduatestudentsaswellasaresearchmonographtoresearc

6、hersinappliedmathematics,physicalsciences,anden-gineering.Thistextdiffersfromothersimilartextsinanumberofways.First,itexplainstheclassicalmethodsinacomprehensible,non-abstractapproach.Furthermore,itintroducesandexplainsthemoderndevelopedmathematicalmethodsinsuchafashionthatshowshow

7、thenewmethodscancomplementthetraditionalmethods.Theseapproachesfurtherimprovetheunderstand-ingofthematerial.Thebookavoidsapproachingthesubjectthroughthecompactandclas-sicalmethodsthatmakethematerialdifficulttobegrasped,especiallybystudentswhodonothavethebackgroundintheseabstractconc

8、epts.Theaimofthisbookistoofferprac