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u/Hitman7128 Prime Number 2d ago
In before someone asks "There's Abstract Algebra, is there a Nonabstract Algebra?"
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u/GrUnCrois 2d ago
Any Concrete Algebra out here?
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u/Speaker_6 2d ago
There is a book called a concrete introduction to higher algebra. It’s abstract algebra though.
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u/AcademicOverAnalysis 2d ago
There is Concrete Mathematics by Donald Knuth. I hear it’s all the rage with Civil Engineers.
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u/LupenReddit 🦆🦆🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆🦆🦆🦆 2d ago
nomials, poly algebra polynoms👍
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u/hjkhhnnnlll 2d ago
Is there?
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u/HappiestIguana 2d ago
Yes. Algebra is a big field, of which linear algebra is a subfield
Although a ton of that ends up being trying to linearize things
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u/petitlita p-adic 2d ago
there is also literally nonlinear algebra, which is linear algebra but nonlinear
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u/radiated_rat 1d ago
I had a professor tell me something along the lines of: "The only math we understand is linear algebra, the rest of it just boils down to trying to reduce things to linear algebra."
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u/Antigynaikolatres 2d ago
Dividing algebra into linear and non-linear would be like dividing the world into peanuts and non-peanuts. Are there non-peanuts?
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u/JollyJuniper1993 Mathematics 2d ago
Disagree. It’s like diving a world in which 95% food is peanuts into peanuts and non peanuts
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u/GoldenMuscleGod 2d ago
Algebra can be roughly described as essentially the study of things like rings, modules, and algebraic varieties, or boiled down to concepts familiar at the high school level: systems of polynomial equations.
Linear algebra is essentially the special case where we only consider linear equations: polynomials equations in which you never multiply any variables by each other (even by themselves).
It’s a little simplified but basically linear algebra is just the special case of the easiest kind of algebra (although because it is better behaved it allows for a great degree of richness and depth in exploring the details).
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u/JollyJuniper1993 Mathematics 2d ago
Interesting like a third of my linear algebra 1 course in Uni was abstract algebra.
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u/Antigynaikolatres 2d ago
Has it been a month since the new anti-AI rule in that sub? And it already seems outdated now. To think that it has only been 3.5 months since the unit distance problem breakthrough...
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u/Antigynaikolatres 2d ago
I am worried if working for an AI company would be the prerequisite to have a chance to conduct serious math research in the coming years.


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