Provides an exhaustive introduction to basic mathematical analysis suitable for senior undergraduate and beginning graduate students. Its leisurely approach to the subject matter ensures that the ideas take root gradually but firmly.
Table of Contents
• Preface • The Real Number System • More About the Real Number System • Continuous Functions on an Interval • Real and Complex Sequences • Real and Complex Series • Metric Spaces • Sequences and Series of Functions • Uniform Approximation • Differentiation • More About Differentiation • The Riemann Integral • More About the Riemann Integral • Stieltjes Integral • Additional Problems • References • Index.