Should I take complex analysis or abstract algebra?

AI Thread Summary
The discussion centers on whether a high school student entering physics should take complex analysis or abstract algebra in the fall. The student has already completed Calculus I-III, an introductory functional analysis course, linear algebra, and is likely to self-study differential equations. Participants in the discussion recommend complex analysis over abstract algebra, emphasizing its practical applications in physics, particularly in areas like optics, electromagnetism, and wave mechanics. They note that concepts from complex analysis are essential for upper-level undergraduate courses, while abstract algebra may be more relevant for advanced studies later on. Overall, complex analysis is viewed as more immediately beneficial for the student's physics education.
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Being a high school student who will be going into physics, should I take complex analysis or abstract algebra in the fall? I can't take both at once, and I am set to take intro to QM (I will already have taken Calc I-III, an introductory functional analysis course, and linear algebra. I also will probably have taught myself differential equations by then).
 
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hjg87 said:
Being a high school student who will be going into physics, should I take complex analysis or abstract algebra in the fall? I can't take both at once, and I am set to take intro to QM (I will already have taken Calc I-III, an introductory functional analysis course, and linear algebra. I also will probably have taught myself differential equations by then).

Welcome to the forum!
I'm also a physics student and I didn't take an abstract algebra course (though one course of linear algebra). I'd go for the complex analysis course. Complex numbers are commonly used in physics, in optics/E&M dealing with waves or working with impedances of circuital components. I also believe knowing analyticity concepts are important for the upper undergrad courses. Maybe someone who took both courses could give you a better answer.
 
I agree with fluidistic. Complex analysis is extremely helpful for many branches of physics.

Perhaps abstract algebra would be helpful for more advanced physics courses, but complex analysis you'll use in most of your undergraduate classes.
 
Okay. Thanks.
 
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