Real Analysis
Mcshane, Edward James
Real Analysis - Mineola Dover Publications 2005 - 272
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
9780486442358
Mathematical analysis
Functions
Real function theory
515.8 MCS
Real Analysis - Mineola Dover Publications 2005 - 272
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
9780486442358
Mathematical analysis
Functions
Real function theory
515.8 MCS