complex-functions-examples-c-9 - the argument principle and many-valued functions.pdf

《complex-functions-examples-c-9 - the argument principle and many-valued functions.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、Complex Functions Examples c9 The Argument Principle and Manyvalued Functions Leif Mejlbro Download free books at LeifMejlbroComplexFunctionsExamplesc-9TheArgumentPrincipleandMany-valuedFunctionsComplexFunctionsExamplesc-9-TheArgumentPrincipleandMany-valuedFunctions©

2、2008LeifMejlbro&VentusPublishingApSISBN978-87-7681-395-6ComplexFunctionsExamplesc-9ContentsContentsIntroduction51.Sometheoreticalbackground41.1Theargumentprinciple41.2Stabilitycriteria61.3Inversefunctions92.Theargumentvariation113.Stabilitycriteria574.Theinnitely-val

3、uedfunctionlogz745.Themany-valuedfunctionsazandza766.TheArcusFunctionsandtheAreaFunctions837.Theinverseofanalgebraicexpression1158.Simpleexampleofpotentialflows118Fast-trackyourcareerMastersinManagementStandoutfromthecrowdDesignedforgraduateswithlessthanoneyearoffull-

4、timepostgraduateworkexperience,LondonBusinessSchool’sMastersinManagementwillexpandyourPleaseclicktheadvertthinkingandprovideyouwiththefoundationsforasuccessfulcareerinbusiness.Theprogrammeisdevelopedinconsultationwithrecruiterstoprovideyouwiththekeyskillsthattopemplo

5、yersdemand.Through11monthsoffull-timestudy,youwillgainthebusinessknowledgeandcapabilitiestoincreaseyourcareerchoicesandstandoutfromthecrowd.LondonBusinessSchoolApplicationsarenowopenforentryinSeptember2011.Regent’sParkLondonNW14SAUnitedKingdomFormoreinformationvisitw

6、ww.london.edu/mim/Tel+44(0)2070007573Emailmim@london.eduemailmim@london.eduorcall+44(0)2070007573www.london.edu/mim/4ComplexFunctionsExamplesc-9IntroductionIntroductionThisistheninthbookcontainingexamplesfromtheTheoryofComplexFunctions.WeshallheretreattheimportantArg

7、umentPrinciple,whiche.g.isappliedinconnectionwithCriteriaofStabilityinCybernetics.Finally,weshallalsoconsidertheMany-valuedfunctionsandtheirpitfalls.EvenifIhavetriedtobecarefulaboutthistext,itisimpossibletoavoiderrors,inparticularinthefirstedition.Itismyhopethattherea

8、derwillshowsomeunderstandingofmysituation.LeifMejlbro27thJune20085ComplexFunctionsExamplesc-9Sometheoreticalbackground1Sometheoreti