1 History and Perspective
1.1 Brief History of the Science of Electromagnetism
1.2 Electromagnetism in the Standard Model


2 Vector Calculus
2.1 Vector Algebra
2.1.1 Definitions
2.1.2 Addition and Multiplication of Vectors
2.1.3 Vector Product Identities
2.1.4 Geometric Meanings
2.2 Vector Differential Operators
2.2.1 Gradient of a Scalar Function
2.2.2 Divergence of a Vector Function
2.2.3 Curl of a Vector Function
2.2.4 Del Identities
2.3 Integral Theorems
2.3.1 Gausss Theorem
2.3.2 Stokess Theorem
2.3.3 Vector Calculus in Fluid Mechanics
2.4 Curvilinear Coordinates
2.4.1 General Derivations
2.4.2 Cartesian， Cylindrical， and Spherical Coordinates
2.5 The Helmholtz Theorem


3 Basic Principles of Electrostatics
3.1 Coulombs Law
3.1.1 The Superposition Principle
3.2 The Electric Field
3.2.1 Definition
3.2.2 Charge as the Source of E
3.2.3 Field of a Charge Continuum
3.3 Curl and Divergence of E
3.3.1 FieldTheoryVersusAction at aDistance
3.3.2 Boundary Conditions of the Electrostatic Field
3.4 The Integral Forill of GaussS Law
3.4.1 Flux and Charge
3.4.2 Proof of Gausss Law
3.4.3 CalculationsBased onGausssLaw
3.5 GreenS Function and the Dirac delta Function
3.5.1 The Dirac delta Function
3.5.2 Another ProofofGaussS Law
3.6 The Electric Potential
3.6.1 Definition and Construction
3.6.2 PoissonS Equation
3.6.3 Example Calculations of V（x）
3.7 Energy of the Electric Field
3.8 The Multipole Expansion
3.8.1 Two Charges
3.8.2 The Electric Dipole
3.8.3 Moments ofaGeneralChargeDistribution
3.8.4 EquipotentialS and Field Lines
3.8.5 Torque and Potential Energy for a Dipole in an Electric Field
3.9 Applications
3.10 Chapter Summary


4 ElectrOstatics and Conductors
4.1 Electrostatic properties of coriductors
4.2 Electrostatic Problems with Rectangular Symmetry
4.2.1 Charged Plates
4.2.2 Problems with Rectangular Symmetry and External Point Charges.The Method ofImages
4.3 Problems with Spherical Symmetry
4.3.1 Charged Spheres
4.3.2 Problems with Spherical Symmetry and External Charges
4.4 Problems with Cylindrical Symmetry
4.4.1 Charged Lines and Cylinders
4.4.2 Problems with Cylindrical Symmetry and an External Line Charge


5 General Methods for Laplaces Equation
5.1 Separation of Variables for Cartesian Coordinates
5.1.1 Separable Solutions for Cartesian Coordinates
5.1.2 Examples
5.2 Separation of Variables for Spherical Polar Coordinates
5.2.1 Separable Solutions for Spherical Coordinates
5.2.2 Legendre Polynomials
5.2.3 Examples with Spherical Boundaries
5.3 Separation of Variables for Cylindrical Coordinates
5.3.1 Separable Solutions for Cylindrical Coordinates
5.4 Conjugate Functions in 2 Dimensions
5.5 Iterative Relaxation: A Numerical Method


6 Electrostatics and