Introduction to Real Analysis

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Recognizing the increased role of real analysis in economics, management engineering and computer science as well as in the physical sciences, this Second Edition meets the need for an accessible, comprehensive textbook regarding the fundamental concepts and techniques in this area of mathematics. Provides solid coverage of real analysis fundamentals with an emphasis on topics from numerical analysis and approximation theory because of their increased importance to contemporary students. Topics include real ...
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Introduction to Real Analysis, Fourth Edition

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Overview

Recognizing the increased role of real analysis in economics, management engineering and computer science as well as in the physical sciences, this Second Edition meets the need for an accessible, comprehensive textbook regarding the fundamental concepts and techniques in this area of mathematics. Provides solid coverage of real analysis fundamentals with an emphasis on topics from numerical analysis and approximation theory because of their increased importance to contemporary students. Topics include real numbers, sequences, limits, continuous functions, differentiation, infinite series and more. Topological concepts are now conveniently combined into one chapter. An appendix on logic and proofs helps students in analyzing proofs of theorems.
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Editorial Reviews

Booknews
A textbook for a course in real analysis for students of econometrics, management science, the physical sciences, engineering, and computer science. Explains the fundamental concepts and techniques for functions of one variable. First published in 1982. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780471059448
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 3/1/1982
  • Edition number: 1
  • Pages: 370

Table of Contents

Ch. 1 Preliminaries 1
Ch. 2 The Real Numbers 22
Ch. 3 Sequences and Series 52
Ch. 4 Limits 96
Ch. 5 Continuous Functions 119
Ch. 6 Differentiation 157
Ch. 7 The Riemann Integral 193
Ch. 8 Sequences of Functions 227
Ch. 9 Infinite Series 253
Ch. 10 The Generalized Riemann Integral 274
Ch. 11 A Glimpse into Topology 312
App. A Logic and Proofs 334
App. B Finite and Countable Sets 343
App. C The Riemann and Lebesgue Criteria 347
App. D Approximate Integration 351
App. E: Two Examples 354
References 357
Photo Credits 358
Hints for Selected Exercises 359
Index 381
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