Introduction To Real Analysis

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In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this text provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral. Table Of Contents Preliminaries The Real Numbers Sequences and Series Limits Continuous Functions Differentiation The Riemann Integral Sequences of Functions Infinite Series The Generalized Riemann Integral A Glimpse into Topology Appendices References Photo Credits Hints for Selected Exercises Index