Theory of Functions of Real Variables

The theory of functions of real variables constitutes a pillar of modern mathematical analysis. This balanced introductory treatment covers all of the fundamentals, from the real number system and point sets to set theory and metric spaces. Useful, well-chosen lists of references to the literature c [...]
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The theory of functions of real variables constitutes a pillar of modern mathematical analysis. This balanced introductory treatment covers all of the fundamentals, from the real number system and point sets to set theory and metric spaces. Useful, well-chosen lists of references to the literature conclude each chapter. 1956 edition.