<p>
Probably closer to Apostol. IMHO it was more rigorous than the one I taught from one semester (one of Stewart’s). The full 3 semester course text is over 1000 pages. There was quite a bit of theory and proofs, but not near the level that we got later in Real Analysis. Our RA I text was Bartle and Sherbert, which I didn’t care for.</p>
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I’m all for introducing more of the interesting features and the beauty and subtlety of mathematics at the middle and high school levels. Even some abstract algebra, topology, etc. Too many students are turned off by the system we have now, or they think they are not good at math and abandon all hope before they even get to the actual subject (i.e. while they are still doing arithmetic). I was one of them, and I hate that fact.</p>