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
……
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
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