Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
This advanced calculus textbook reviews the concept of limits, then introduces the theory of Riemann-Stieltjes integration, sequences and series of functions, Fourier series, the Riesz representation theorem, and the Lebesque integral. A slightly corrected reprint of the 1981 edition published by Marcel Dekker. Annotation c. Book News, Inc., Portland, OR