
Thisbookprovidesanintroductiontocomplexanalysisforstudentswithsomefamiliaritywithcomplexnumbersfromhighschool.StudentsshouldbefamiliarwiththeCartesianrepresentationofcomplexnumbersandwiththealgebraofcomplexnumbers,thatis,theyshouldknowthati2=-1.Afamiliaritywithmultivariablecalculusisalsorequired,butherethefundamentalideasarereviewed.Infact,complexanalysisprovidesagoodtraininggroundformultivariablecalculus.Itallowsstudentstoconsolidatetheirunderstandingofparametrizedcurves,tangentvectors,arclength,gradients,lineintegrals,independenceofpath,andGreenstheorem.Theideassurroundingindependenceofpathareparticularlydifficultforstudentsincalculus,andtheyarenotabsorbedbymoststudentsuntiltheyareseenagaininothercourses.
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