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八五品
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作者S.lang 著
出版社世界图书出版公司
出版时间2003-06
版次1
装帧平装
货号A8-3
上书时间2024-07-17
商品详情
- 品相描述:八五品
图书标准信息
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作者
S.lang 著
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出版社
世界图书出版公司
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出版时间
2003-06
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版次
1
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ISBN
9787506260060
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定价
59.00元
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装帧
平装
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开本
24开
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纸张
胶版纸
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页数
485页
- 【内容简介】
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Thepresentbookismeantasatextforacourseoncomplexanalysisattheadvancedundergraduatelevel,orfirst-yeargraduatelevel.Thefirsthalf,moreorless,canbeusedforaone-semestercourseaddressedtoundergraduates.Thesecondhalfcanbeusedforasecondsemester,ateitherlevel.Somewhatmorematerialhasbeenincludedthancanbecoveredatleisureinoneortwoterms,togiveopportunitiesfortheinstructortoexerciseindividualtaste,andtoleadthecourseinwhateverdirectionsstrikestheinstructorsfancyatthetimeaswellasextrareadingmaterialforstudentsontheirown.Alargenumberofroutineexercisesareincludedforthemorestandardportions,andafewharderexercisesofstrikingtheoreticalinterestarealsoincluded,butmaybeomittedincoursesaddressedtolessadvancedstudents.
此书为英文版!
- 【目录】
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Foreword
Prerequisites
PARTONEBasicTheory
CHAPTERⅠComplexNumbersandFunctions
1.Definition
2.PolarForm
3.ComplexValuedFunctions
4.LimitsandCompactSets
5.ComplexDifferentiability
6.TheCauchy-RiemannEquations
7.AnglesUnderHolomorphicMaps
CHAPTERⅡPowerSeries
1.FormalPowerSeries
2.ConvergentPowerSeries
3.RelationsBetweenFormalandConvergentSeries
4.AnalyticFunctions
5.DifferentiationofPowerSeries
6.TheInverseandOpenMappingTheorems
7.TheLocalMaximumModulusPrinciple
CHAPTERⅢCauchysTheorem,FirstPart
1.HolomorphicFunctionsonConnectedSets
2.IntegralsOverPaths
3.LocalPrimitiveforaHolomorphicFunction
4.LocalPrimitiveforaHolomorphicFunction
5.TheHomotopyFormofCauchysTheorem
6.ExistenceofGlobalPrimitives.DefinitionoftheLogarithm
7.TheLocalCauchyFormula
CHAPTERⅣWindingNumbersandCauchysTheorem
CHAPTERⅤApplicationsofCauchysIntegralFormula
CHAPTERⅥCalculusofResidues
CHAPTERⅦConformalMappings
CHAPTERⅧHarmonicFunctions
PARTTWOGeometricFunctionTheory
CHAPTERⅨSchwarzReflection
CHAPTERⅩTheRiemannMappingTheorem
CHAPTERⅪAnalyticContinuationAlongCurves
PARTTHREEVariousAnalyticTopics
CHAPTERⅫApplicationsoftheMaximumModulusPrincipleandJensensFormula
CHAPTERⅩⅢEntireandMeromorphicFunctions
CHAPTERⅩⅣEllipticFunctions
CHAPTERⅩⅤTheGammaandZetaFunctions
CHAPTERⅩⅥThePrimeNumberTheorem
Appendix
Bibliography
Index
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