Looking for a physics course

[diegocas]

Hi! I'm a mathematician but I'm now stuyding some physics. I like it, but I am not completely satisfied with the presentation in ordinary books. I want to find a physics book with no fear for math! In traditional textbooks, line integrals, surface integrals, Stoke's theorem is always avoided! I hope someone could recommend a good math-based physics book. I'm especially interested in electricity and magnetism.
Thanks.

 

[Bob S]

I recommend a 2nd year college Electricity and Magnetism course. My preference, being an experimenter, would be for a course using MKS units. Thus quantities are volts, amps, Tesla, Coulombs, Farads, Henrys, amp-turns, meters etc. Avoid most EE courses (generally they minimize the math). Advanced EE electricial circuits courses MAY get into poles, zeroes, and stability diagrams.

 

[Peeter]

While not focusing on e&m you may enjoy the Dover book 'Mathematics of classical and quantum physics'.

http://www.amazon.com/dp/048667164X/?tag=pfamazon01-20

EDIT: on second thought, this may not be what you are looking for (ie: perhaps you looking for a differential forms treatment of E&M?)

 

[robphy]

Purcell
https://www.amazon.com/dp/0070049084/?tag=pfamazon01-20

 

[neo86]

Hi,

You might want to take a look at the following book:
https://www.amazon.com/dp/0817642226/?tag=pfamazon01-20

It basically discusses electromagnetism from an axiomatic point in terms of differential geometry. Especially if you are a mathematician this will probably be very interesting.
Parts of it are available online on the homepage of the author:
http://www.thp.uni-koeln.de/gravitation/mitarbeiter/Birkshowme.pdf"

A few suggestions for other topics (I only cite books which are on a mathematically quite high level):
Mechanics: Mathematical Methods in Classical Mechanics by V.I. Arnol'd
Quantum Mechanics: Mathematical Concepts of Quantum Mechanics by Gustafson and Sigal
and of course the books by Reed and Simon
GR: Large Scale Structure of Space-time by Hawking and Ellis

 

[Cantab Morgan]

Purcell

Seconded.