i think i've accelerated my learning enough, and now i'm going to start doing problems, problems, and more problems to strengthen my mathematical thinking. this thread will be devoted to munkres' well-used topology textbook. i've done all the problems in chapter 1 so far, and i haven't gotten stuck once. i know that about one third of the exercises already have solutions over the web, but i do those anyway, and then of course i do the ones not done over web. i will occasionally post some solutions to interesting problems that really intrigued me, but i don't know latek so i'll perhaps pdf my solutions. i didn't realize how much i learn by doing exercises in old topics. dis is phun! i also want to do every question in a textbook in multivariable calculus (not single variable calculus) and a textbook in linear algebra, but only textbooks whose exercises deal mostly with proofs (not boring exercises that ask simply to compute a jacobian or an integral or a determinant, solve systems of equations, etc...) and does not hold back on topology (e.g. describes continuity in terms of open sets instead of just limits, describes the inverse function theorem by diffeomorphisms, etc...). any suggestions on such textbooks for me to practise with?