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I got a 5 on the AP Calculus (BC?) exam, so I have a basic knowledge of calculus (probably on the level that a Stewart book would teach). However, I'm planning to major in mathematics and computer engineering/science, so I'm looking for a rigorous introduction to Calculus. I've read the first chapter of both Apostol's book and Spivak's book, and I really like both. However, I like Spivak's problems, since they really force you to think about the material. However, I was concerned when I found a few posters (I think it was on reddit) who said that Spivak's text is 'incomplete' for teaching Calculus. If I wanted to go to grad school for math, is this the case (i.e., how far does Spivak's

*Calculus*go?) or are people just being stupid on the internet (again)?