第+三+講+復(fù)變積分.ppt

第三講復(fù)變積分 華南農(nóng)業(yè)大學(xué)理學(xué)院 Outline 講授要點(diǎn) 復(fù)變積分 復(fù)變積分的定義 復(fù)變積分的基本性質(zhì) Cauchy定理 單連通區(qū)域的Cauchy定理 復(fù)連通區(qū)域的Cauchy定理 兩個(gè)有用的引理 引理 適用于半徑無窮小的圓弧 引理 適用于半徑無窮大的圓弧 Outline 講授要點(diǎn) ComplexIntegration definition 定義 復(fù)變積分是復(fù)平面上的線積分 ComplexIntegration definition 復(fù)變積分 ComplexIntegration Fundamentalproperties 復(fù)變積分的基本性質(zhì) ComplexIntegration Fundamentalproperties 復(fù)變積分的基本性質(zhì) ComplexIntegration Fundamentalproperties 例 4 1 ComplexIntegration Fundamentalproperties 例 4 1 ComplexIntegration Fundamentalproperties 例 4 1 ComplexIntegration Fundamentalproperties 評述 Cauchyintegraltheorems Cauchytheoremforsimplyandmultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremforsimplyconnecteddomain Cauchyintegraltheorems Cauchytheoremforsimplyconnecteddomain Cauchyintegraltheorems Cauchytheoremforsimplyconnecteddomain Cauchyintegraltheorems Cauchytheoremforsimplyconnecteddomain Cauchyintegraltheorems Cauchytheoremforsimplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain Cauchyintegraltheorems Cauchytheoremformultiplyconnecteddomain TwoUsefulLemmas LemmaappliedtoInfinitesimalArc TwoUsefulLemmas LemmaappliedtoInfinitesimalArc TwoUsefulLemmas LemmaappliedtoInfinitesimalArc TwoUsefulLemmas LemmaappliedtoInfinitesimalArc TwoUsefulLemmas LemmaappliedtoInfiniteArc TwoUsefulLemmas LemmaappliedtoInfiniteArc TwoUsefulLemmas LemmaappliedtoInfiniteArc TwoUsefulLemmas LemmaappliedtoInfiniteArc TwoUsefulLemmas LemmaappliedtoInfiniteArc CauchyIntegralFormula FiniteDomain CauchyIntegralFormula FiniteDomain CauchyIntegralFormula FiniteDomain CauchyIntegralFormula InfiniteDomain 無界區(qū)域 CauchyIntegralFormula infiniteDomain 無界區(qū)域 CauchyIntegralFormula infiniteDomain 無界區(qū)域 CauchyIntegralFormula infiniteDomain 無界區(qū)域 CauchyIntegralFormula infiniteDomain 無界區(qū)域 Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives Higher orderDerivativesofCauchyIntegralFormula Higher orderDerivatives H