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0 votes
0 answers
52 views

Recommendation books on graduate level vector analysis and field analysis with application of electrodynamics?

I am currently a physics and mathematics double major graduate student. Looking for a text book and problem sets on the topic of vector field analysis, would be best if the book is advanced and ...
3 votes
1 answer
1k views

What are some good textbooks to learn EM with differential forms? (With focus on condensed matter)

As the title suggests, does anyone have recommendations for learning EM with differential forms? Both undergraduate and graduate level textbook suggestions are welcomed. I know there's Lindell's ...
2 votes
1 answer
176 views

A formulation of (classical) electrodynamics using fiber bundles

I have studied the mathematical foundations of gauge theories - in particular, fiber bundles and connection 1-forms - and knowing that classical mechanics can be formulated with fiber bundles$^1$, I ...
3 votes
0 answers
274 views

Understanding Multivariable Calculus without Hand-Waving [duplicate]

I am trying to properly understand multivariable calculus as a physicist and would like to know of any recommendations for textbooks to work through. Ultimately I want to be able to properly ...
0 votes
0 answers
99 views

Cross-products-free approach to classical mechanics & electromagnetism

Cross products are used everywhere in classical mechanics: torque, angular velocity, angular momentum, the Coriolis force, rigid body mechanics. This is even more so in classical electromagnetism. ...
1 vote
1 answer
277 views

Is there a formalism on EM waves that uses only coordinate free calculations?

This book for example: Theory of Electromagnetic Waves: A Coordinate-free Approach, by Hollis C. Chen (McGraw-Hill, 1983); Amazon link, only I can't find it online without a registration. In ...
2 votes
0 answers
251 views

Electrodynamics using exterior calculus

Can anyone suggest resource for full course of electrodynamics using exterior calculus?
1 vote
0 answers
70 views

Book suggestion : geometric approach to electromagnetism [duplicate]

I´m looking for a book on electromagnetism that is introducing the topic from a geometric point of view, focusing more on the theoretical structure than on the application.
15 votes
3 answers
7k views

Electromagnetism for mathematicians

I am trying to find a book on electromagnetism for mathematicians (so it has to be rigorous). Preferably a book that extensively uses Stokes' theorem for Maxwell's equations (unlike other books that ...