[HiroshiSan]

Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand Polimeni and Zhang. This was the textbook used in my intro to proofs course and it was fantastic. Worth the steep price.

Another good one that was optional reading was Book of Proof, it's free so maybe start there.

[oggyhead]

@HiroshiSan, where do you draw the line between math and advanced math? You clearly are not a beginner abd I now wonder the intent of your question

[HiroshiSan]

I appreciate you calling me out. I'm certainly not a beginner in the sense that I know elementary algebra very well and that I know the names of upper level courses.

That being said I'm very much a beginner. I've only come across proofs in the one course I took (where I listed the textbook above). I dropped out of Introductory Analysis due to the fact that my foundation was very very weak. I don't know know much of Calculus and so I had a lot of difficulty building intuition behind a lot of concepts and theorems.

I've been taking high school courses for the past 6 months or so in order to build my foundation because I see a lot of value in a Math degree and would like to complete it.

My intent in asking the question was just to get an idea of what people with a possibly similar background to mine did to really teach themselves upper level math, because I'm struggling at it, very very much.

[oggyhead]

Going to get into introductory analysis soon too myself! The one tip that I have been given is to build intuition by taking/relearning the computational part of calculus before diving into the rigorous part of things. Hopefully someone else can weight in on the value of the tip