Spivak's celebrated textbook is widely held as one of the finest
introductions to mathematical analysis. His aim is to present
calculus as the first real encounter with mathematics: it is the
place to learn how logical reasoning combined with fundamental
concepts can be developed into a rigorous mathematical theory
rather than a bunch of tools and techniques learned by rote. Since
analysis is a subject students traditionally find difficult to
grasp, Spivak provides leisurely explanations, a profusion of
examples, a wide range of exercises and plenty of illustrations in
an easy-going approach that enlightens difficult concepts and
rewards effort. Calculus will continue to be regarded as a modern
classic, ideal for honours students and mathematics majors, who
seek an alternative to doorstop textbooks on calculus, and the more
formidable introductions to real analysis.
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