My capacity to read proofs went through the roof once I went through a few chapters in Velleman’s How to Prove It: A Structured Approach. If you feel shaky with less intuitive proof techniques like proof by contrapositive or , for example, how to prove a logical disjunction of propositions, you should at least skim parts of this (or a similar) book.
Echoing what other posters’ have said: always read with a pencil and notebook in front of you and write down all the definitions you read. Draw pictures. In my experience, a large part of being able to comprehend more advanced mathematics is being able to take complicated definitions and chunk them into a single concepts without losing the fine details of the definition. I’ve found that asking yourself dumb questions about definitions is useful for trying to do this.
My capacity to read proofs went through the roof once I went through a few chapters in Velleman’s How to Prove It: A Structured Approach. If you feel shaky with less intuitive proof techniques like proof by contrapositive or , for example, how to prove a logical disjunction of propositions, you should at least skim parts of this (or a similar) book.
Echoing what other posters’ have said: always read with a pencil and notebook in front of you and write down all the definitions you read. Draw pictures. In my experience, a large part of being able to comprehend more advanced mathematics is being able to take complicated definitions and chunk them into a single concepts without losing the fine details of the definition. I’ve found that asking yourself dumb questions about definitions is useful for trying to do this.