Rigorous E&M and thermodynamics books with challenging problems

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UncertaintyAjay
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So, I am deeply unsatisfied with the way I've been taught E&M and thermodynamics in school. Despite having done AP Physics C: E & M and having got a 5 in it, I feel my understanding is lacking. Could you guys ( and girls) please recommend something rigorous for me to use to teach myself.Books and/or video lectures are good. Preferably something with CHALLENGING accompanying problems.
 
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I don't know, what I mean by "rigoros" and what "AP Physics C" means, but a good starting point are for sure the "Feynman Lectures". They are not mathematically rigoros but focused on the physics.
 
Yep, I'm working my way through them. But they don't have any accompanying problems, so... But terrific fun. Feynman explains things beautifully.
 
I did not know that existed. Thank you very much! I am now a very very happy man. I'm in India so it'll be at least a month before its delivered here. Any suggestions to tide me over till then?
 
In that month, you could try mastering the "physical" derivation of the Lamor formula. And also compare it with the mathematical derivation using the Lienard-Wiechert potentials.
http://blog.cupcakephysics.com/elec...homsons-derivation-of-the-larmor-formula.html (physical derivation)
http://fermi.la.asu.edu/PHY531/larmor/index.html (mathematical derivation)

You can also try the qualifying exams of various universities (some provide solutions).
https://www.princeton.edu/physics/graduate-program/prelims/
http://jonathanwhitmore.com/physics/physics-quals
http://physicsweb.phy.uic.edu/graduate/guidelines.php
http://physics.columbia.edu/qalifying-exam-quals
http://physics.uoregon.edu/grad_studies/phd_qualifier/

As for notes, Richard Fitzpatrick has a good sets at undergraduate and graduate levels.
http://farside.ph.utexas.edu/teaching/em/em.html
http://farside.ph.utexas.edu/teaching/jk1/jk1.html

David Tong also has good notes, and links to other good resources.
http://www.damtp.cam.ac.uk/user/tong/em.html

None of those are rigourous. For rigour, you could try https://www.amazon.com/dp/1461291135/?tag=pfamazon01-20 (I haven't read it).
 
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