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5、demicPressHarcourtPlace,32JamestownRoad,LondonNW17BY,UKhttp://www.academicpress.comLibraryofCongressCatalogCardNumber:00-108262InternationalStandardBookNumber:0-12-382592-XPRINTEDINTHEUNITEDSTATESOFAMERICA010203040506DOC987654321CONTENTSPrefacexvPARTONEREVIEWMATERIAL1C
6、HAPTER1ReviewofPrerequisites31.1RealNumbers,MathematicalInduction,andMathematicalConventions41.2ComplexNumbers101.3TheComplexPlane151.4ModulusandArgumentRepresentationofComplexNumbers181.5RootsofComplexNumbers221.6PartialFractions271.7FundamentalsofDeterminants311.8Con
7、tinuityinOneorMoreVariables351.9DifferentiabilityofFunctionsofOneorMoreVariables381.10TangentLineandTangentPlaneApproximationstoFunctions401.11Integrals411.12TaylorandMaclaurinTheorems431.13CylindricalandSphericalPolarCoordinatesandChangeofVariablesinPartialDifferentia
8、tion461.14InverseFunctionsandtheInverseFunctionTheorem49viiPARTTWOVECTORSANDMATRICES53CHAPTER2VectorsandVectorSpaces5
