The exercises get a little monotonousīecause Spivak has a few tricks he likes to use repeatedly, and I've seen (you can see throughout that Spivak has a vision of what The whole thing is the mostĬoherently envisioned and explained treatment of one-variable calculus Where I finally learned what a limit was, after three years ofīad-calculus-book “explanations”. Have the time, read it and do all the exercises. Of course, as we all know, the One True Calculus Book is Paul's Notes are really an instructive tutorial that allows you to proceed at your own pace, provides exercises, organizes the material into "modules" so you can work through and digest sub-sections/topics progressively. The link will take you to the Calculus I notes, but there's a menu at the top of the page where you can select notes for algebra/precalculus.
I'll also provide a link to the Khan Academy, where you can review pre-requisite material, and supplement your journey through Calculus with video lectures, practice problems, etc.įinally, here is a link to Paul's Online Math Notes. You might enjoy this site that gives timeline of the history of calculus. And it outlines the development of Calculus, and the motivation for its development to some degree.
It won't replace a calculus textbook, but it really is great reading to understand calculus a bit more intuitively. That said, a very nice supplement to a textbook is Michael Spivak'sĪ Hitchhiker's Guide to Calculus. And if you want to learn calculus, you're going to have to have some sort of "textbook." And some are better than others. If you want to learn calculus, you should ensure you have mastered material typically covered in a Precalculus course.
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