Often when I'm working on a math problem, there comes a point when I've set everything up and what r
Raul Walker
Answered question
2022-07-04
I find that I usually think about this step in the problem as a black box, into which I put a set of equations and out of which comes a set of solutions. This is particularly true if the algebra involved includes many steps.
This is good in a lot of ways and bad in some others, but putting that aside, I'm fascinated that this step seems to come up in all areas of math. Is it possible to separate math from algebra? Are there any branches of math where long chains of algebra are not found or uncommon?
Answer & Explanation
billyfcash5n
Beginner2022-07-05Added 17 answers
In general, I think that most tedious arithmetic can be avoided, at least in my upper level undergraduate courses- I can't necessarily speak for the guys doing graduate coursework or beyond.
My experience of Abstract Algebra and Galois Theory was devoid of arithmetic, although the theory behind it can help understand or simplify arithmetic computations. Most of my upper level classes have been, as well.
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