Basic requirements to start a course in electrodynamics

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    Course Electrodynamics
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SUMMARY

To begin a self-study course in electrodynamics, a solid understanding of vector calculus, tensors, and tensor calculus is essential, along with a background in special relativity and Maxwell's equations. The textbook "Classical Electrodynamics" by Julian Schwinger is recommended for its mathematical depth, while "The Feynman Lectures on Physics" provides a more accessible introduction to electromagnetic phenomena. "Introduction to Electrodynamics" by David J. Griffiths is also suggested for beginners, as it is more approachable than Jackson's work, which is considered encyclopedic and better suited for reference.

PREREQUISITES
  • Vector calculus
  • Tensors and tensor calculus
  • Special relativity
  • Maxwell's equations
NEXT STEPS
  • Study "The Feynman Lectures on Physics" for foundational concepts in electromagnetism
  • Read "Classical Electrodynamics" by Julian Schwinger for advanced mathematical techniques
  • Explore "Introduction to Electrodynamics" by David J. Griffiths for a beginner-friendly approach
  • Review vector analysis in three-dimensional space as outlined in "Electromagnetic Fields and Interactions" by R. Becker
USEFUL FOR

Undergraduate physics students, self-learners in electrodynamics, and anyone seeking a deeper understanding of electromagnetic theory and its mathematical foundations.

nearlynothing
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I'm in my third year of undergraduate physics and I'm wondering what i'd need in order to start my course on electrodynamics on my own.

thanks in advance.
 
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Electrodynamics is usually taught as a graduate course. You need to be very familiar with vector calculus, and will need some understanding of tensors and tensor calculus. You'll also need some background in special relativity. Also you should really have a good understanding of maxwell's equations and the general form of Coloumb's law.

Take a look at the textbook by Jackson, it's pretty standard for a lot of schools.
 
Dear God. You start out with Jackson? Even in a graduate course
using Jackson usually requires the professor to do a lot of professing.
It is, in my experience, the standard but not because it's easy going
more because it's encyclopedic.

nearlynothing, what's your background? Have you had an undergraduate
course in E-M? What text did you use? How did you do? Are you comfortable
with all the math dipole suggested? Third year doesn't mean that much to me.
What are your goals for self study?
 
Jackson is a very good book but it's too detailed for the beginner. It can be read for special questions on the side.

For sure for a first lecture, which imho is clearly undergraduate (in Germany it's taught in the 2nd year, or 3rd-4th semester), you don't need all the details on electrostatics before you learn the dynamics. Also relativity is not a must, but indeed a good theoretical exposition of the subject is relatistic, because Maxwell's theory is a relativistic theory.

To start with, I'd recommend the Feynman Lectures, which are elementary but give a very concise physical picture of electromagnetic phenomena, including the relativistic aspects, where a relativistic treatment helps to prevent troubles one usually encounters with oldfashioned textbooks (e.g., the Faraday's disk, unipolar machine/generator, Faraday's and Feynman's disk, etc.).

Another very good book, but more at the level of Jackson and not so much in the main stream way to present things is

Julian Schwinger et al, Classical electrodynamics

There you find marvelous mathematical tricks by a master of the subject (Schwinger did research not only in QED for which he is famous but also in the classical theory, mostly on waveguides).

Two of my favorites, which however have the disadvantage of using the pseudo-Euclidean convention for relativity (i.e., setting x_4=\mathrm{i} c t instead of using the indefinite Minkowski metric on a real four-dimensional affine space) are

A. Sommerfeld, Lectures on Theoretical Physics, Vol. 3 (Electrodynamics) and Vol. 4 (Optics)

R. Becker, Electromagnetic Fields and Interactions

The latter book contains also a nice introduction to the necessary vector analysis on \mathbb{R}^3.
 
You need to be aware of special relativity, understand electromagnetism and have a basic grasp of tensor calculus.

Griffiths was the perfect book for me. Jackson seemed very hard work and probably best left as a reference/examples book, at least for a beginner.
 

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