Linear Algebra Done Wrong

That is really a wonderful book which I perused when learning linear algebra, maybe a bit on the mathy side for OP expecially as he is asking a book for a "visual learner". Fortunately linear algebra can be grasped intuitively in dimensions above 3 even if it can't be visualized, but maybe I'm biased as it is bread and butter for me now.

I enjoyed Linear Algebra Done Wrong [0], to be used in combination with a more traditional textbook, like Linear Algebra and its Applications [1] (which has some good diagrams). I've already seen it mentioned, but I'd like to add that 3b1b's Essence of Linear Algebra [2] videos are well made and make for a good supplementary resource early on. [0]: https://www.math.brown.edu/streil/papers/LADW/LADW_2017-09-0... (https://www.math.brown.edu/streil/papers/LADW/LADW_2017-09-04.pdf) [1]: https://www.amazon.com/Linear-Algebra-Its-Applications-5th/d... (https://www.amazon.com/Linear-Algebra-Its-Applications-5th/dp/032198238X) — PDFs exist. [2]: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x... (https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab)

Eh, I was thinking about something else, actually. What you listed are taught in every CS program, aren't they? It isn't what I imagined when I heard "rigorous" at all. Topology, number theory, abstract algebra (I mean, real one, not CS-course basics), statistics, tensor analysis? Isn't that "undergrad math"? For things like Set theory/combinatorics/logic basics I'd recommend Rosen's "Discrete Math and Applications"[1]. CS oriented, simple, interesting, broad. Covers all the basic stuff. Linear algebra — two books, "Linear algebra done Right" and "Linear algebra done Wrong". Second one more math-oriented, the first one — pretty simple, pretty clear, fun to read. Real analysis ("calculus" you mean?) — I personally learned from different sources and probably the most concise book I read is Fichtengolz's "differential and integral calculus", but I don't know if it's available in english. I guess, almost any book on topic is fine.…