正版未使用 复分析/德-弗莱塔格/第2版/英文版 201407-版次
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作者[德]弗莱塔格 著
出版社世界图书出版公司
出版时间2014-07
版次2
装帧平装
货号ST110/9787510077838
上书时间2024-09-24
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- 品相描述：九五品
图书标准信息
- 作者 [德]弗莱塔格 著
- 出版社 世界图书出版公司
- 出版时间 2014-07
- 版次 2
- ISBN 9787510077838
- 定价 89.00元
- 装帧 平装
- 开本 24开
- 纸张 胶版纸
- 页数 532页
- 正文语种 英语
- 【内容简介】
- ThisbookisatranslationoftheforthcomingfourtheditionofourGermanbook"FunktionentheorieP'(Springer2005).ThetranslationandtheLATEXfileshavebeenproducedbyDanFulea.HealsomadealotofsuggestionsforimprovementwhichinfluencedtheEnglishversionofthebook.Itisapleasureforustoexpresstohimourthanks.WealsowanttothankourcolleaguesDiarmuidCrowley,WinfriedKohnenandJorgSixtforusefulsuggestionsconcerningthetranslation.
- 【目录】
-
DifferentialCalculusintheComplexPlaneC
Ⅰ.1ComplexNumbers
Ⅰ.2ConvergentSequencesandSeries
Ⅰ.3Continuity
Ⅰ.4ComplexDerivatives
Ⅰ.5TheCAUCHY-RIEMANNDifferentialEquations
ⅡIntegralCalculusintheComplexPlaneC
Ⅱ.1ComplexLineIntegrals
Ⅱ.2TheCAUCHYIntegralTheorem
Ⅱ.3TheCAUCHYIntegralFormulas
Ⅲ SequencesandSeriesofAnalyticFunctions,theResidue Theorem
Ⅲ.1UniformApproximation
Ⅲ.2PowerSeries
Ⅲ.3MappingPropertiesofAnalyticFunctions
Ⅲ.4SingularitiesofAnalyticFunctions
Ⅲ.5LAURENTDecomposition AAppendixtoIII.4andIII.5
Ⅲ.6TheResidueTheorem
Ⅲ.7ApplicationsoftheR,esidueTheorem
ⅣConstructionofAnalyticFunctions
Ⅳ.1TheGammaFunction
Ⅳ.2TheWEIERs'rRASSProductFormula
Ⅳ.3TheMITrrAc_LEFFLERPartialFYactionDecomposition
Ⅳ.4TheRIEMANNMappingTheorem
AAppendix:TheHomotopicalVersionoftheCAUCHY IntegralTheorem
BAppendix:AHomologicalVersionoftheCAUCHY
IntegralTheorem
CAppendix:CharacterizationsofElementaryDomains
ⅤEllipticFunctions
Ⅴ.1LIOUViLLE'STheorems
AAppendixtotheDefinitionofthePeriodLattice
Ⅴ.2TheWEIERSTRASS-function
Ⅴ.3TheFieldofEllipticFunctions
AAppendixtoSect.V.3:TheTorusasanAlgebraicCurve
Ⅴ.4TheAdditionTheorem
Ⅴ.5EllipticIntegrals
Ⅴ.6ABEL'STheorem
Ⅴ.7TheEllipticModularGroup
Ⅴ.8TheModularFunctionj
ⅥEllipticModularForms
Ⅵ.1TheModularGroupandItsFundamentalRegion
Ⅵ.2Thek/12-formulaandtheInjectivity ofthej-function
Ⅵ.3TheAlgebraofModularForms
Ⅵ.4ModularFormsandThetaSeries
Ⅵ.5ModularFormsforCongruenceGroups
AAppendixtoV1.5:TheThetaGroup
Ⅵ.6ARingofThetaFhnctions
Ⅶ AnalyticNumberTheory
Ⅶ.1SumsofFourandEightSquares
Ⅶ.2DIRiCHLErrSeries
Ⅶ.3DIRICHLETSerieswithFunctionalEquations
Ⅶ.4TheRIEMANN<-functionandPrimeNumbers
Ⅶ.5TheAnalyticContinuationofthe<-function
Ⅶ.6ATAUBERianTheorem
ⅧSolutionstotheExercises
Ⅷ.1SolutionstotheExercisesofChapterⅠ
Ⅷ.2SolutionstotheExercisesofChapterⅡ
Ⅷ.3SolutionstotheExercisesofChapterⅢ
Ⅷ.4SolutionstotheExercisesofChapterⅣ
Ⅷ.5SolutionstotheExercisesofChapterⅤ
Ⅷ.6SolutionstotheExercisesofChapterⅥ
Ⅷ.7SolutionstotheExercisesofChapterⅦ
R/eferences
SymbolicNotations
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