Includes bibliographical references (p. -336) and index.
The real and complete number systems -- Basic topology --- Numerical sequences and series -- Continuity -- Differentiation -- The Riemann-Stieltjes integral -- Sequences and series of functions -- Some special functions -- Function of several variables -- Integration of differential forms -- The Lebesgue theory.
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. -- Publisher description.