If one wants to self-study advanced undergraduate courses or basic graduate courses, how to promise that the knowledge is "systematically" organized? I don't even know how to define "systematical" there, will it be like "unifying advanced ideas"?
2026-04-30 09:09:00.1777540140
How do one systematically self-learn math?
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To address what I think is your notion of "systematical" or "unifying", most math courses are "separate" from each other. For example, you do not need to know real analysis to do a course in abstract algebra. You do not need to know number theory to do a course in graph theory, etc. Of course, there is some overlap and interplay with subjects, but for the most part you can learn them separately. It is not like the lower level math courses, which do build upon each other (for the lower level courses, one does calculus I, then calculus II, then calculus III, and differential equations).