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Introduction to real analysis / Robert G. Bartle and Donald R. Sherbert

By: Contributor(s): Material type: TextTextLanguage: English Publication details: New York : John Wiley, 2013.Edition: 3rd edDescription: xi, 388 p.: illISBN:
  • 9788126511099
Subject(s): DDC classification:
  • 515 B289
Contents:
1. Preliminaries -- 2. The real numbers -- 3. Sequences and series -- 4. Limits -- 5. Continuous functions -- 6. Differentiation -- 7. The Riemann integral -- 8. Sequences of functions -- 9. Infinite series -- 10. The generalized Riemann integral -- 11. A Glimpse into topology -- Appendices.
Summary: 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. · 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
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Includes bibliographical references and index.

1. Preliminaries --
2. The real numbers --
3. Sequences and series --
4. Limits --
5. Continuous functions --
6. Differentiation --
7. The Riemann integral --
8. Sequences of functions --
9. Infinite series --
10. The generalized Riemann integral --
11. A Glimpse into topology --
Appendices.

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. · 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

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