复分析中的若干论题：英文

Thisbookprovidesaconcisetreatmentoftopicsincomplexanalysis,suitableforaone-semestercourse.ItisanoutgrowthoflecturesgivenbytheauthoroverthelasttenyearsattheUniversityofGöteborgandChalmersUniversityofTechnology.Whiletreatingclassicalcomplexfunctiontheory,theauthoremphasizesconnectionstorealandharmonicanalysis,andpresentsgeneraltoolsthatbasicideasinbeginningcomplexanalysis.Thebookintroducesallofthebasicideasinbeginningcomplexanalysisandstillhastimetoreachmanytopicsnearthefrontierofthesubject.ItcoversclassicalhighlightsinthefieldsuchasFatoutheoremsandsomeNevanlinnatheory,aswellasmorerecenttopics,forexample,Thecoronatheoremandtheduality.Thereaderisexpectedtohaveanunderstandingofbasicintegrationtheoryandfunctionalanalysis.Manyexercisesillustrateandsharpenthetheory,andextendedexercisesgivethereaderanactivepartincomplementingthematerialpresentedinthetext.