Hi Usually when learning math, understanding the theorems and ideas helps tremendously to remember math. I get that... I got through calculus, linear algebra and complex analysis easily. The problem for me started with three branches in mathematics: Real analysis, measure theory and abstract algebra. The theorems are no problem. However, remembering the definitions is really hard: Rings, fields, sigma-rings, algebras, sigma-algebras, integral domains, outer measure, Lebesgue measure, metric space, norm space... The list goes on... Not only are there many definitions; They are often very similar to each other. So, remembering the differences can be an art in itself. I have to retake exams because I could not remember the definitions. What were the exact definitions of pointwise and uniform continuity? I remembered only vaguely and had to try to deduce parts of the definitions.. How can I remember the definitions more easily? I keep forgetting them..