Real analysis

Edward James McShane, Truman Arthur Botts0486442357, 9780486442358

This text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, and the Lebesgue-Stieltjes integral is introduced in terms of the ideas of Daniell, measure-theoretic considerations playing only a secondary part. Explores function spaces and harmonic analysis as well. Includes exercises. 1959 edition.