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I question just how realistic is is to have "Proofs from the Book" at the start. While the art is wonderful, the background required to read it is not realistically at a lower level than the textbooks listed.

The discussion here has been much more interesting than the actual list, to me. If you wanted to master all of that material, I think a master's program is the way to go, not self-study.

I would be interested in hearing from people who _do_ successfully self-study. What makes it work?

The least interesting (from my point of view) is "already successful in a related field, applied my skills". That would include CS professionals studying maths, I think.

More interesting would be "unable to attend university because of X, did Y and really enjoyed it." Are you a person who completes MOOCs and get something out of them?



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