Reddit reviews Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
We found 2 Reddit comments about Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics). Here are the top ones, ranked by their Reddit score.
NewMint ConditionDispatch same day for order received before 12 noonGuaranteed packagingNo quibbles returns
The book Ideals, Varieties and Algorithms by Cox, Litle and O'Shea is a very good undergraduate level algebraic geometry book. It has the benefit of teaching you the commutative algebra you need along the way instead of assuming you know it.
I'm not really aware of any algebraic topology books I'd consider undergraduate, but most of them are accessible to first year grad students anyway, which isn't too far away from senior undergrad. Some of my favorite sources for that are Munkres' book and Fulton's Book.
For knot theory, I haven't really studied it myself, but I've heard that The Knot Book is quite good and quite accessible.
You've almost got a quadratic form: https://en.wikipedia.org/wiki/Quadratic_form maybe you can add a dummy variable to homogenize the linear terms
That aside, (computational) algebraic geometry has a lot to say about this problem, in particular you might want to start here:
https://www.amazon.com/Ideals-Varieties-Algorithms-Computational-Undergraduate/dp/0387356509