Introduction to real analysis
著者
書誌事項
Introduction to real analysis
Wiley, c2000
3rd ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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 book 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.
目次
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.
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