Books to help with math in Jackson and group theory

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SUMMARY

This discussion centers on the challenges of self-studying Jackson's Electrodynamics, particularly the need for a solid grasp of vector manipulations and special functions. The participant expresses uncertainty about the adequacy of Boas' book and considers Arfken's Mathematical Methods for Physicists as a more suitable resource. Additionally, the participant plans to study group theory but lacks a strong foundation in Abstract Algebra, suggesting a need for context-specific resources. Franklin's "Classical Electromagnetism" is recommended for its integration of mathematical concepts relevant to Jackson's work.

PREREQUISITES
  • Understanding of Differential Equations (DEs)
  • Familiarity with Partial Differential Equations (PDEs)
  • Knowledge of Linear Algebra
  • Basic concepts of Abstract Algebra
NEXT STEPS
  • Study Arfken's "Mathematical Methods for Physicists" for advanced mathematical techniques.
  • Explore Franklin's "Classical Electromagnetism" for a comprehensive understanding of electromagnetism and its mathematical foundations.
  • Begin learning group theory with a focus on its applications in physics.
  • Investigate the differences between mathematical group theory and its physical applications.
USEFUL FOR

Students and self-learners in physics, particularly those tackling advanced topics in electrodynamics and group theory, as well as educators seeking resources for teaching these subjects effectively.

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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.
 

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