1 History and persopective
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 General deriations
2.3.2 Stoke's theorem
2.3.3 Vector calculus in fluid mechanics
2.4 Curvilinerar coordinates
2.4.1 General derivations
2.4.2 Cartesian,Cylindrical,and spherical coordinates
2.5 The Helmholtz Theorem

3 Basic principles of electrostatiple
3.1 Coulomb's Law
3.1.1 The superposition principle
3.2 The electric field
3.1.1 Definition
3.1.2 Charge as the source of
3.1.3 Field of a Charge continuum
3.3 Curl and Divergence of E
3.3.1 Field Theory versus Action at a distance
3.3.2 Boundary conditions of the electrostatic field
3.4 The integral form of Gauss's law
3.4.1 Flux and Charge
3.4.2 Proof of gauss's law
3.4.3 Calculations Based on gauss's law
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4 Electrostatics and conductors
5 General methods for laplace's equation
6 Electrostatics and dielectrics
7 Electric currents
8 Magnetostatics
9 Magnetic Fields and matter
10 Electromagnetic induction
11 The maxwell equations
12 Electromagnetism and relativity
13 Electromagnetism and optics
14 Wave Guides and transmission lines
15 Radiation of electromagnetic waves
A Electric and magnetic units
B The Helmholtz Theorem
Index