Courses Course Selection: Algebra or Analysis?

AI Thread Summary
The discussion centers on choosing between two advanced mathematics courses: Analysis, which covers Lebesgue and Fourier analysis, and Algebra, focusing on lattices and Boolean algebra. Participants emphasize that the decision should reflect personal interests, as both subjects are equally important for a mathematician. The conversation highlights the necessity of specialization in mathematics, suggesting that the choice should align with the student's future goals. Ultimately, the consensus is that there is no wrong choice, as both courses contribute to a well-rounded mathematical education. The decision should be based on the student’s preferences and aspirations in the field of mathematics.
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Hi.

I have done some algebra (mostly group theory and linear algebra), and single-variable real analysis at the level of baby Rudin. Currently I have a choice between two courses:

Analysis: Lebesgue and Fourier analysis; Hilbert and Sobolev spaces; fractals and approximation theory

Algebra: lattices and order, Boolean algebra, universal algebra

Which do you think is the wiser choice? Thanks
 
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A wiser choice for what!?

Maybe you should take an English paper so you can communicate yourself more clearly:p
 
Sorry, the wiser choice for a student who wants to be a mathematician
 
Well it's totally up to you, whatever your interests are. Either you like algebra better, or your like analysis better. There's no wrong choice here.
 
So the topics covered by the two courses are equally important? Btw, I enjoy analysis and algebra equally.
 
Again: important for what? The're both mathematics courses, so in order to become 'a mathematician' they're both important. But 'a mathematician' is a general term, every mathematician has to specialise in a certain subject.
We can't decide for you, since we don't know what your future plans are.
 
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