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I've just finished high school but I don't feel my knowledge of mathematics is good enough. I'd like to start again from scratch, possibly adding a bit (a lot) of problem solving to it. What is the order in which I should study the various branches of mathematics? What are some good books to do so? Keep in mind that for 'starting from scratch' I mean starting from (possibly at a university level) set theory and the four operations. Thanks in advance for the answers!

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    You might find the answers to this question relevant: http://math.stackexchange.com/questions/177167/tips-for-an-adult-to-learn-math-from-the-beginning2012-08-03

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