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When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. All too often li

This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literat

The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced

A concise, classical approach to the theory of real functions, set in the topological context of metric spaces. Newly translated by G. H. Lawden of the Univ. of