Physics and Algebra: How Much Overlap?

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The discussion centers on the relevance of abstract algebra to physics, with contrasting opinions on its value. One participant expresses a negative experience with abstract algebra, viewing it as unrelated to physics and lacking practical application. In contrast, linear algebra is highlighted as crucial for physicists, emphasizing its importance alongside complex variables. Another contributor advocates for the study of abstract algebra, particularly group theory, noting its significance in physics and the benefits of a deeper understanding of mathematical structures. Overall, while linear algebra is widely recognized for its applicability, abstract algebra, particularly group theory, is acknowledged as potentially beneficial for a physicist's education.
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How much overlap is there in physics and abstract algebra? Would it be worth my time as a physicist to take a course in algebra?
 
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I took a semester of Abstract Algebra as an undergrad and absolutely HATED it. From what I saw, none of it had any application to Physics whatsoever. It seems like a purely fluff subject.

Linear Algebra, on the other hand, was of immense value in my education as a physicist. Along with complex variables, it was probably the most important upper-level math class I took.
 
Thanks. I'm taking linear algebra right now and loving it. If I want more linear algebra but I'd have to take the first abstract class before that.
 
It's defintely worth your time as group theory is very important in physics and besides which a more fundamental understanding of the mathetmatical structures you are using is always good.
 

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