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- Thread starter Lonewolf
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Tom Mattson

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My answer would depend on your major. If you are majoring in math or physics, then you will need to take both of them. If you are in engineering, you will only find Linear Algebra useful.

I took both of these courses, and as a physics grad student I find them indispensable. My thesis is on effective field theories for hadrons, and one must have a solid foundation of vector spaces and group theory for that.

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Nope, it's definitely analysis. We've got seperate options for abstract algebra and linear algebra.

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damgo

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http://www.mcs.le.ac.uk/Modules/MA/MA2121.html

http://www.mcs.le.ac.uk/Modules/MA/MA2151.html

I like the sound of them, but I'm not sure what exactly they involve, and searching on the web for them wasn't exactly fruitful. We've got real analysis as seperate first and second year modules. I'm from the UK. We don't have majors or things like that. We just do a degree course in a subject.

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HallsofIvy

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Thanks for the links.

"Abstract Analysis" looks to me like a fairly standard analysis course (perhaps a second year of analysis- I didn't look for prerequisites.)

"Linear Analysis" looks more like what I would call "Functional Analysis", generally speaking more "abstract" and more difficult than "Abstract Analysis"!

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HallsofIvy

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As to how much use they are in "Applied Mathematics", that depends strongly on what you mean by "applied mathematics"- an unfortunately vague term! Some people use "applied mathematics" to mean the theory behind the kind of mathematics used in applications. Certainly, if you consider yourself a mathematician of any sort you should have as much anaysis as possible. Functional Analysis (what, I think, is your "linear analysis") is used in developing the theories behind solution methods for differential equations, among other things, but are not really necessary just for using those methods. Again, think about exactly what YOU want to do and talk to the faculty.

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damgo

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Wow, that's pretty cool. At least the stuff I'm learning is only seemingly useless

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