What Are the Best Advanced E&M Textbooks for a Rigorous First Semester?

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For a first semester electricity and magnetism class requiring a more rigorous approach than Halliday, Resnick, and Krane, Purcell's "Electricity and Magnetism" is recommended. The discussion highlights the need for a textbook that aligns with a higher level of theoretical understanding and detailed proofs. Participants seek examples of rigor, such as nontrivial computations and advanced theoretical concepts. The focus is on finding resources that complement the limited calculus background of the course while still providing depth. Overall, the goal is to enhance comprehension through more challenging material.
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I'm taking a first semester electricity and magnetism class and my teacher is quite a bit more rigorous than the textbook that he requires (Physics V2 by Halliday, Resnick, and Krane), so, in other words, my textbook is insufficient for the class. Does anyone have any recommended outside readings for a first semester E&M student? The class that I'm taking only requires two semesters of calculus and only has integration of one variable. Given that restriction, I would like to get a book that is as rigorous as possible. As a math major, I'm quite fluent in vector calculus, so if anyone has a good book that might not fit that restriction, I may still be interested.

Thanks very much.
 
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Try Purcell's "Electricity and Magnetism" (Vol 2 of the Berkeley Series).

Can you give an example of the rigorousness? (e.g., more theoretical? detailed proofs?nontrivial computations?)
 
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