Abstract Algebra
Comments discuss abstract algebra concepts such as group theory, rings, fields, and related structures, with users explaining prerequisites, sharing examples, relating them to programming, and debating their importance in modern mathematics.
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maybe I'm misunderstanding you, it sounds like you're just describing abstract algebra. See linear algebra or group theory as topic titles.
Algebra, the real one, with groups and rings and so forth
Are group and ring theory not a science, or are they not mathematics?
wikipedia already covers abstract algebra (the subject necessary for understanding the math in this article) rather well. what more do you want?
Group theory is the abstraction you want
Do you know any group theory? Otherwise it's no wonder you see most of this as meaningless symbol manipulation, as you wouldn't be able to relate any of the symbols to meaningful concepts.Though if you do know group theory you may have been put off by their choice to use addition and multiplication instead of multiplication and integer powers, as is more common.I'm also somewhat annoyed they choose to phrase things in terms of a "Group of prime order p with associated f
Very nice, Thank you Always wanted to know, now you saved me a year dedicated to abstract algebra
Actually group theory is discrete and algebraic.
Group Theory is no more an "obscure branch of algebra" than "algorithms" is an obscure branch of Computer Science.
"algebra" in the gp comment is different from the algebra in early highschool.