I recently graduated with a bachelor's in computer science and a minor in mathematics. Since I won't be enrolled in any more math classes, I want to continue learning and honing my skills by myself. Currently, I am reteaching myself Real Analysis through a textbook. It is interesting, but linear algebra has been, by far, the most interesting section of mathematics for me.
After taking my first linear algebra class which was heavy in theory, I took an applied linear algebra class. Unfortunately, this class didn't teach me too much - it mainly just reiterated the basic concepts from the first class I took. I assumed it would pertain more to things like machine learning since it was applied. But I wasn't exposed to too much new material.
I then took an intro-level machine learning class and that really made me see the beauty of linear algebra. After this, I realized I wanted to continue learning about this area of mathematics.
Where can I go from here? What is the next step? I'm sure there's a ton more to learn. I will let it be known that I am no rockstar mathematician. I often spend a lot of time pondering certain problems that many could probably figure out very quickly to ensure I have a very strong grasp on what's happening rather than settling with a vague or just solid understanding. However, as I am proving to myself right now, I do have the discipline to teach myself out of a textbook. I hope this is possible in higher maths, especially for someone of my skill level. I am willing to give it a shot and I am very interested.
I'm mainly looking to be steered in the right direction, whether that means specific areas of math and/or textbooks. All advice is appreciated.
My first linear algebra class was taught from the book Linear Algebra with Applications by Steven Leon. To clarify what I meant by the class being heavy in theory, I mean our homework and exam problems would be centered around proofs. This is in contrast to my applied linear algebra class, that much more geared around computational problems. That class was taught out of the book Matrix Analysis and Applied Linear Algebra by Carl D. Meyer.
As for what I'm interested in, it's kind of hard to say. I'm not fully knowledgable on all of what maths and linear algebra have to offer, but all that I've learned I've enjoyed. Another area of math I thoroughly enjoyed learning about was abstract algebra if that helps in suggesting what other things I might enjoy.