r/learnmath

6h ago

u/personalKindling

Algebra Book Recommendations

I am currently working through Algebra and Trigonometry by Stewart, Redlin, and Watson.

And enjoying it. But as I am still ignorant on the subject, I don't know what would be a good book to pick up that takes algebra a bit further. The next step in that direction instead of calculus so to speak. Or is calculus needed to go further in algebra?

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AllanCWechsler

2h ago

Top 1% Commenter

Algebra goes on forever, but probably not in the direction you expect.

Solving polynomial equations leads to a set of challenges that were eventually completely explained by Galois theory, but in the process of doing that, mathematicians had to invent a field called abstract algebra , the study of "toy" arithmetical systems that are not the real numbers, but still have operations that vaguely resemble addition and multiplication.…