an introduction to vector analysis

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1、AnIntroductiontoVectorAnalysisStevenA.Chapinc2010iiContentsPrefaceix1Vectors11.1BasicConcepts..........................11.1.1Exercises..........................121.2TheDotProduct.........................131.2.1Exercises..........................181.3TheCr

2、ossProduct........................201.3.1Exercises..........................241.4LinesandPlanesinSpace....................271.4.1Exercises..........................322CurvesinSpace372.1VectorFunctions.........................372.1.1Exercises..............

3、............442.2SpaceCurves...........................452.2.1Exercises..........................552.3MoreAboutCurves........................582.3.1Exercises..........................642.4PlottingCurves..........................652.4.1Project.............

4、..............673ScalarFieldsandVectorFields693.1ScalarFields............................693.1.1Exercises..........................773.2VectorFieldsandFlowCurves..................803.2.1Exercises..........................903.3PlottingFunctionsofTwoVariabl

5、es...............94iiiivCONTENTS3.3.1Project...........................954LineIntegralsandSurfaceIntegrals974.1LineIntegrals...........................974.1.1Exercises..........................1024.2ConservativeFields........................1034.2.1Exerci

6、ses..........................1154.3AreaIntegralsandVolumeIntegrals...............1174.3.1Exercises..........................1264.4SurfaceIntegrals.........................1294.4.1Exercises..........................1434.5PlottingParametricSurfaces.........

7、..........1464.5.1Project...........................1485Stokes-typeTheorems1495.1Green'sTheorem.........................1495.1.1Exercises..........................1535.2TheDivergenceTheorem.....................1555.2.1Exercises..........................15

8、95.3Stokes'Theorem.........................1605.3.1Exercises..........................1645.4CylindricalandSphericalCoordinates..............1655.4.1Exercises..........................1745.5Applications..............