Advanced calculus by Folland

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1、Instructor'sSolutionManualforADVANCEDCALCULUSGeraldB.FollandContents1SettingtheStage11.1EuclideanSpacesandVectors.................................11.2SubsetsofEuclideanSpace...................................11.3LimitsandContinuity......................................21.4Sequences......

2、......................................31.5Completeness..........................................41.6Compactness..........................................51.7Connectedness.........................................51.8UniformContinuity.......................................72DifferentialCal

3、culus82.1DifferentiabilityinOneVariable................................82.2DifferentiabilityinSeveralVariables..............................92.3TheChainRule.........................................102.4TheMeanValueTheorem...................................102.5FunctionalRelationsandImpli

4、citFunctions:AFirstLook..................102.6Higher-OrderPartialDerivatives................................112.7Taylor'sTheorem........................................122.8CriticalPoints..........................................142.9ExtremeValueProblems..................................

5、..152.10Vector-ValuedFunctionsandTheirDerivatives........................173TheImplicitFunctionTheoremanditsApplications193.1TheImplicitFunctionTheorem.................................193.2CurvesinthePlane.......................................203.3SurfacesandCurvesinSpace...............

6、...................213.4TransformationsandCoordinateSystems...........................223.5FunctionalDependence.....................................244IntegralCalculus254.1IntegrationontheLine.....................................254.2IntegrationinHigherDimensions.........................

7、......264.3MultipleIntegralsandIteratedIntegrals............................274.4ChangeofVariablesforMultipleIntegrals...........................284.5FunctionsDefinedbyIntegrals.................................304.6ImproperIntegrals.......................................31