Books to help with math in Jackson and group theory

AI Thread Summary
Self-studying Jackson's Electrodynamics presents challenges primarily with vector manipulations and special functions, suggesting a resource like Arfken's may be beneficial. Boas is considered too basic, although its special functions section could be useful. For group theory, starting with Tinkham is recommended, despite its solid-state focus, as it can provide a foundational understanding. It is advised to approach group theory within a physics context to better grasp its application, as the mathematical aspects differ significantly from physics usage. Overall, focusing on math relevant to physics will enhance comprehension in both areas.
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So I'm currently self-studying Jackson's Electrodynamics. The math for my undergrad physics was no problem at all for me as I had a strong background in DEs, PDEs, linear algebra, etc. I haven't looked too much into Jackson so far, but it seems I'm having the most difficulty is just keeping up with all the tedious vector manipulations and special functions. Would I need a book like Arfken's to help a lot with this later on? I don't think Boas would help much since the last time I saw it, it seemed to basic for me. But I didn't see the special functions section of it.

Also, I'm hoping to be able to self study some group theory this summer as well. I have no background in it and have very little knowledge of Abstract Algebra (I audited a course in it for a few weeks, but this was years ago). I don't know yet if I want to go into QFT, solid-state, etc. I heard Tinkham is good for beginners, but its based for solid state physics.
 
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Arfken will definitely help for Jackson.
 
You may want to look at Franklin, "Classical Electromagnetism", which covers the Jackson material, but includes the math background in the text.

You may want to wait with Group Theory, to study it in the context of a physics course.
Math GT is quite different than its use in physics.
What you seem to need most is math in the context of physics.
 
For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
This is part 2 of my thread Collection of Free Online Math Books and Lecture Notes Here, we will consider physics and mathematical methods for physics resources. Now, this is a work in progress. Please feel free comment regarding items you want to be included, or if a link is broken etc. Note: I will not post links to other collections, each link will point you to a single item. :book:📚📒 [FONT=trebuchet ms]Introductory college/university physics College Physics, Openstax...

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