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1、ThispageintentionallyleftblankCopyright©2005NewAgeInternational(P)Ltd.,PublishersPublishedbyNewAgeInternational(P)Ltd.,PublishersAllrightsreserved.Nopartofthisebookmaybereproducedinanyform,byphotostat,microfilm,xerography,oranyothermeans,orincorporatedintoanyinformationretrievalsystem,elec
2、tronicormechanical,withoutthewrittenpermissionofthepublisher.Allinquiriesshouldbeemailedtorights@newagepublishers.comISBN:978-81-224-2420-1PUBLISHINGFORONEWORLDNEWAGEINTERNATIONAL(P)LIMITED,PUBLISHERS4835/24,AnsariRoad,Daryaganj,NewDelhi-110002Visitusatwww.newagepublishers.comPrefacevPrefa
3、ceTheobjectiveofthisbookistopresentasubstantialintroductiontotheideas,phenomenaandmethodsoftheproblemsthatarefrequentlyobservedinmathematics,mathematicalphysicsandengineeringtechnology.Thebookcanbeappreciatedataconsiderablenumberoflevelsandisdesignedforevery-onefromamateurstoresearchworkme
4、n.Includedthroughoutareapplicationswithappropriatesuggestionsanddiscussions,wheneverneeded,thatformasignificantandintegralpartofthetextbook.Inaword,thetextdirectsatanall-embracingandpracticaltreatmentofdifferentialequationswithsomemethodsspecificallydevelopedforthepurposecontrolledbycomput
5、erprograms.Theeffectsofthistreatment,thecomputerisedsolutionsforeachproblem,representedincompactform,sometimeswithgraphicalfigures,havebeenprovidedforfurtherstudy.TheoperationhasbeenperformedbytheprogramminglanguageC++basedonanyMS-DOScomputersystem(version6.0)applyingtheclassicalmethods,su
6、chasEuler,Simpson,Runge-Kutta,Finite-Difference,etc.Chapters4and5provideintroductionstofirstorderandsecondorderinitial-valueproblemsdis-cussingthepossibilitiesforfindingsolutions,analyticandcomputerised.Non-lineartypesofdifferen-tialequationshavealsobeenconsidered.Emphasishasbeenplacedonse
7、ction6.3inChapter6thatdealswiththeproblemsconcerningFourierseries,becausethesubjectmatterofnumericalevaluationforFourierseriesisapredominanttopic.SpecialattentionisfocussedonChapter7inviewofthefactthatthedifferentialequationswithboundaryconditionsarethekernels
