Royden H.L., Fitzpatrick P.M. Real Analysis

4th edition. — China Machine Press, 2010. — 516 p.Real Analysis, Fourth Edition, covers the basic material that every reader should know in the classical theory of the functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in mathematics and familiarity with the fundamental concepts of analysis.Classical theory of functions, including the classical Banach spaces; General topology and the theory of general Banach spaces; Abstract treatment of measure and integration.