Calculus, by Michael Spivak, is a textbook on calculus. It is not an ordinary calculus textbook although it introduces calculus from first principles, it may be unsuitable for persons wishing to learn to apply calculus to scientific and engineering problems; it is primarily addressed to those who are attracted by the beauty of mathematics. It shows why calculus works, done with real rigor.
It is therefore used in the honors freshman calculus course at the University of Toronto, the University of Chicago, the University of Michigan, Trinity College, Dublin, the University of Oregon, the University of Rochester, Ohio State University, the University Of Georgia, the Advanced section at the University of Waterloo, the Universidad Nacional Autónoma de México, Johns Hopkins University, and in another freshman calculus course in CIMAT. Such courses, which are also offered at the sophomore level (for example, at Princeton University), are a standard means of introducing students to more...
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