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EighthGrader said:Did you go through Spivak and Velleman at the same time? How much did Velleman help?
And when you went through Spivak, did you answer all of the problems at the end of each chapter?
I went through (part of) Spivak, and then started Velleman. I wish I'd gone through Velleman first. Velleman is much "gentler" than Spivak in introducing one to proofs. Although Spivak is apparently the most "gentle" of the theoretical calculus books, I still found him at times terse and difficult to understand. Lay may be a better alternative if you don't want two books, but I am really liking Velleman. Also, Spivak seems to be a favored text for many people and classes, so that's worth keeping in mind.
I did not do all of the problems in the sections of Spivak that I worked through. I looked at all of them and did maybe 1/3 to 1/2 of them.