complex-functions-examples-c-7 - applications of the calculus of residues.pdf

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1、Complex Functions Examples c7 Applications of the Calculus of Residues Leif Mejlbro Download free books at LeifMejlbroComplexFunctionsExamplesc-7ApplicationsoftheCalculusofResiduesComplexFunctionsExamplesc-7–ApplicationsoftheCalculusofResidues©2008LeifMej

2、lbro&VentusPublishingApSISBN978-87-7681-390-1ComplexFunktionsExamplesc-7ContentsContentsIntroduction61.Somepracticalformulæintheapplicationsofthecalculationofresidues71.1Trigonometricintegrals71.2Improperintegralsingeneral81.3Improperintegrals,wheretheint

3、egrandisarationalfunction81.4Improperintegrals,wheretheintegrandisarationalfunctiontimea8trigonometricfunction1.5Cauchy’sprincipalvalue101.6Sumofsomeseries122.Trigonometricintegrals133.Improperintegralsingeneral254.Improperintegral,wheretheintegrandisarat

4、ionalfunction445.Improperintegrals,wheretheintegrandisarationalfunctiontimesa72trigonometricfunctionFast-trackyourcareerMastersinManagementStandoutfromthecrowdDesignedforgraduateswithlessthanoneyearoffull-timepostgraduateworkexperience,LondonBusinessSchoo

5、l’sMastersinManagementwillexpandyourPleaseclicktheadvertthinkingandprovideyouwiththefoundationsforasuccessfulcareerinbusiness.Theprogrammeisdevelopedinconsultationwithrecruiterstoprovideyouwiththekeyskillsthattopemployersdemand.Through11monthsoffull-times

6、tudy,youwillgainthebusinessknowledgeandcapabilitiestoincreaseyourcareerchoicesandstandoutfromthecrowd.LondonBusinessSchoolApplicationsarenowopenforentryinSeptember2011.Regent’sParkLondonNW14SAUnitedKingdomFormoreinformationvisitwww.london.edu/mim/Tel+44(0

7、)2070007573Emailmim@london.eduemailmim@london.eduorcall+44(0)2070007573www.london.edu/mim/4ComplexFunktionsExamplesc-7KapiteloverskriftNL6.Improperintegrals,wheretheintegrandisarational98functiontimesanexponentialfunction7.Cauchy’sprincipalvalue1148.Sumof

8、specialtypesofseries130You’refullofenergyandideas.Andthat’s©UBS2010.Allrightsreserved.justwhatwearelookingfor.Lookingforacareerwhereyourideascouldreallymakeadifference?UBS’sGraduateProgrammeandinternshipsareachancefo