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Classical Electrodynamics

Paperback Engels 2021 3e druk 9781119770763
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Samenvatting

The third edition of the defining text for the graduate-level course in Electricity and Magnetism has finally arrived! It has been 37 years since the first edition and 24 since the second. The new edition addresses the changes in emphasis and applications that have occurred in the field, without any significant increase in length.

Specificaties

ISBN13:9781119770763
Taal:Engels
Bindwijze:paperback
Aantal pagina's:811
Druk:3
Verschijningsdatum:13-5-2021
Thema:

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Inhoudsopgave

Introduction and Survey
1. Maxwell Equations in Vacuum, Fields, and Sources
2. Inverse Square Law, or the Mass of the Photon
3. Linear Superposition
4. Maxwell Equations in Macroscopic Media
5. Boundary Conditions at Interfaces Between Different Media
6. Some Remarks on Idealizations in Electromagnetism

Chapter 1 / Introduction to Electrostatics
1. Coulomb’s Law
2. Electric Field
3. Gauss’s Law
4. Differential Form of Gauss’s Law
5. Another Equation of Electrostatics and the Scalar Potential
6. Surface Distributions of Charges and Dipoles and Discontinuities in the Electric Field and Potential
7. Poisson and Laplace Equations
8. Green’s Theorem
9. Uniqueness of the Solution with Dirichlet or Neumann Boundary Conditions
10. Formal Solution of Electrostatic Boundary-Value Problem with Green Function
11. Electrostatic Potential Energy and Energy Density; Capacitance
Problems

Chapter 2 / Boundary- Value Problems in Electrostatics: I
1. Method of Images
2. Point Charge in the Presence of a Grounded Conducting Sphere
3. Point Charge in the Presence of a Charged, Insulated, Conducting Sphere
4. Point Charge Near a Conducting Sphere at Fixed Potential
5. Conducting Sphere in a Uniform Electric Field by Method of Images
6. Green Function for the Sphere; General Solution for the Potential
7. Conducting Sphere with Hemispheres at Different Potentials
8. Orthogonal Functions and Expansions
9. Separation of Variables; Laplace Equation in Rectangular Coordinates
10. A Two-Dimensional Potential Problem; Summation of Fourier Series
11. Fields and Charge Densities in Two-Dimensional Corners and Along Edges
12. Introduction to Finite Element Analysis for Electrostatics
Problems

Chapter 3 / Boundary- Value Problems in Electrostatics: II
1. Laplace Equation in Spherical Coordinates
2. Legendre Equation and Legendre Polynomials
3. Boundary-Value Problems with Azimuthal Symmetry
4. Behavior of Fields in a Conical Hole or Near a Sharp Point
5. Associated Legendre Functions and the Spherical Harmonics
6. Addition Theorem for Spherical Harmonics
7. Laplace Equation in Cylindrical Coordinates; Bessel Functions
8. Boundary-Value Problems in Cylindrical Coordinates
9. Expansion of Green Functions in Spherical Coordinates
10. Solution of Potential Problems with the Spherical Green Function Expansion
Problems


Chapter 4 / Multipoles, Electrostatics of Macroscopic Media, Dielectrics
1. Multipole Expansion
2. Multipole Expansion of the Energy of a Charge Distribution in an External Field
3. Elementary Treatment of Electrostatics with Ponderable Media
4. Boundary-Value Problems with Dielectrics
5. Molecular Polarizability and Electric Susceptibility
6. Models for Electric Polarizability
7. Electrostatic Energy in Dielectric Media
Problems
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          Classical Electrodynamics