Hi ! at the moment, I have big troubles to solve exercices for my analysis homework. This is not a problem with an exercise in particular, it really is about how to solve things. I just started a bachelor's degree in physics and I have no mathematical maturity. I can easily use mathematics to solve physics problem but I have no idea what I am doing with "pure mathematics" (analysis). I fail to understand the logical steps I have to make to prove anything. I would like to know if there was some sort of methods/guidelines/anything really, I could follow for some cases that would help me see the steps I have to make to prove something and more importantly, how to know that my result is valid. How to know that I need to do a proof by contradiction or something else ? I asked the same question to the teaching assistant and I am waiting for an answer but I thought that I could ask other people to have maybe more help. How to get better at abstract reasoning for unknown solutions ? For example, I understand the proofs in class, I can do them again but I am totally unable to think like that myself. I really don't understand what my objectives are when I read an exercise. Here is an example : If I solve the inequality I have (x-b)(x+b) <= 0 but after that, I don't know what I need to do. Thank you.