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

This is a revised, updated, and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory of functions of a re

A classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.