Thisbookisintendedasatextbookforafirstcourseinthetheoryoffunctionsofonecomplexvariableforstudentswhoaremathematicallymatureenoughtounderstandandexecutearguments.Theactualpre-requisitesforreadingthisbookarequiteminimal;notmuchmorethanastiffcourseinbasiccalculusandafewfactsaboutpartialderivatives.Thetopicsfromadvancedcalculusthatareused（e.g.,Leibniz'srulefordiffer-entiatingundertheintegralsign）areprovedindetail.