![]() ![]() One is the 'shape of space' by Jeff Weeks, and the other is 'Symmetry of things' by John Conway ![]() If I may add my two cents, I would add two more books that are an integral part of my library, and which I have presently lent to a gifted middle school student. Thus I got to see first hand the staggering amount of work he put into building his explanations. So we "read" Emil Artin's "Galois Theory" together. In his Galois theory lectures I and a few other students were lucky enough to join him as fellow learners: he was still getting his lectures straight and, in his honest way, warned us that this would be the case. Perhaps a mathematical analogue of Richard Feynman as a teacher. I hope he wouldn't mind my saying that his gift for explanation did not appear magically: sheer hard work was evident in his lecture notes and he gave me the impression of someone never happy with an explanation as it was, he was always striving for a simpler and cleaner one for everything he lectured. I took four of his courses in all, in general group and Galois theory as well two topics (topology and Riemann Surfaces) which were very much subtopics of the above book. I also had the sheer pleasure of being lectured by John Stillwell when he was here in Australia in the early to mid 1990s. See also the answer on his "Naive Lie Theory". John Stillwell's "Classical Topology and Combinatorial Group Theory (Springer-Verlag Graduate Texts in Mathematics)". ![]()
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