Linear Algebra Mastering DiffyQ and linear Algebra

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To master differential equations and linear algebra for significant improvement in electromagnetism (E&M) and quantum mechanics (QM), several book recommendations are highlighted. A particular book is praised for its clear writing style and foundational approach, although it may not cover all necessary mathematical concepts for advanced E&M and QM studies. Another suggestion is Jefferson's free book, which offers a solid introduction to linear algebra and includes numerous application problems and a solutions manual, making it a valuable resource. It is emphasized that while familiarity with linear algebra is essential for understanding E&M and QM, it alone is not sufficient for a comprehensive grasp of the subjects. Consistent practice is also underscored as a key component of mastering these topics.
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What are some books that I can use master DiffyQ and linear algebra ? I want to improve significantly in E&M and quantum mechanics. I understand that I have to practice, practice, and practice , but can you provided me with with some advice ? Thank you.
 
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Greg Bernhardt said:

I agree with this recommendation, provided the OP is looking for a treatment of the basics. It is written in a very clear style by, in fact, a solid functional analyst. However, I would say that by itself it does not provide all of the mathematical apparatus needed for a thorough treatment of E&M and QM. For this, more is needed.
 
Why not Jefferson's free book? It's really good, goes pretty far, too. Maybe not as far as the top level Linear Algebra books, but at least enough for what OP wants. It even has some application problems, well, a lot of problems in general, and the solutions manual is up there too.
 
Maybe it's good to point out that, at least in my opinion, for a good understanding of the formalism of E&M and (in particular) QM, familiarity with linear algebra is necessary but not sufficient.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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