classical electrodynamics for undergraduates

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1、CLASSICALELECTRODYNAMICSforUndergraduatesProfessorJohnW.NorburyPhysicsDepartmentUniversityofWisconsin-MilwaukeeP.O.Box413Milwaukee,WI532011997Contents1MATRICES51.1EinsteinSummationConvention................51.2CoupledEquationsandMatrices................61.3DeterminantsandInverse...

2、.................81.4SolutionofCoupledEquations.................111.5Summary.............................111.6Problems.............................131.7Answers..............................141.8Solutions.............................152VECTORS192.1BasisVectors.......................

3、....192.2ScalarProduct..........................202.3VectorProduct..........................222.4TripleandMixedProducts...................252.5Div,GradandCurl(di®erentialcalculusforvectors).....262.6IntegralsofDiv,GradandCurl.................312.6.1FundamentalTheoremofGradients....

4、......322.6.2Gauss'theorem(FundamentaltheoremofDivergence)342.6.3Stokes'theorem(Fundamentaltheoremofcurl)....352.7PotentialTheory.........................362.8CurvilinearCoordinates.....................372.8.1PlaneCartesian(Rectangular)Coordinates......372.8.2ThreedimensionalCartes

5、ianCoordinates.......382.8.3Plane(2-dimensional)PolarCoordinates.......382.8.4Spherical(3-dimensional)PolarCoordinates.....402.8.5Cylindrical(3-dimensional)PolarCoordinates....412.8.6Div,GradandCurlinCurvilinearCoordinates....4312CONTENTS2.9Summary.............................432.1

6、0Problems.............................442.11Answers..............................462.12Solutions.............................472.13Figurecaptionsforchapter2..................513MAXWELL'SEQUATIONS533.1Maxwell'sequationsindi®erentialform............543.2Maxwell'sequationsinintegralfo

7、rm..............563.3ChargeConservation.......................573.4ElectromagneticWaves.....................583.5ScalarandVectorPotential...................604ELECTROSTATICS634.1Equationsforelectrostatics...................634.2ElectricField...........................664.3ElectricS

8、calarpotential............