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Jul 12, 2019 at 16:19 comment added Willie Wong The links seems to have broken; the book now is available from the MAA press: amazon.com/TeXas-Style-Introduction-Proof-Textbooks/dp/…
Jul 1, 2013 at 9:38 comment added Ronnie Brown It is interesting to see that the notions of category theory are not mentioned in these answers. In particular, the proof by verification of or use of a universal property is very powerful. Many examples of this are in my book "Topology and Groupoids": for example in general topology (products, sums, quotients); in connection with the Seifert-van Kampen theorem; and in connection with the fundamental groupoid of an orbit space.
Apr 26, 2011 at 15:34 comment added Eric Rowell Thanks! I really like Taylor's notes. I will definitely include this as an extra resource if only for the advice in the appendices.
Apr 25, 2011 at 3:03 history answered Josh CC BY-SA 3.0