What is Reddit's opinion of A Discrete Transition to Advanced Mathematics (Pure and Applied Undergraduate Texts)?

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All the books listed can be found on libgen.io

If interest is theoretical mathematics:

Become adept at writing proofs.

I recommend https://www.amazon.com/Discrete-Transition-Advanced-Mathematics-Undergraduate/dp/0821847899

Do some exercises in the first chapter, and go around the book doing whatever is of interest. I suggest learning about proofs/truth tables, functions, infinite sets, and number theory. This book will have chapters approaching all of these.

After this, you have some choice. I would take a beginners book in any of the following fields

Abstract algebra: https://www.amazon.com/Book-Abstract-Algebra-Second-Mathematics/dp/0486474178

Linear algebra: Linear Algebra Done Right by axler

Analysis: foundations of mathematical analysis by rudin (this will be hard but don’t be afraid!)

Approach each of these books slowly. Do not rush. Self-studying math is HARD. You might only get through 3 pages in a week, but I guarantee that you will get the ropes, and a few weeks later, look back and wonder how it was difficult at all.

In making the choice of what to study first, go to the subjects Wikipedia page or google “should I study x or y first” and you’ll likely find good resources