Introduction to Real Analysis
eBook - PDF

Introduction to Real Analysis

  1. 416 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Real Analysis

About this book

This text provides the fundamental concepts and techniques of real analysis for students 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 three editions, this edition maintains the same spirit and user-friendly approach with additional examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: Introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible.

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Yes, you can access Introduction to Real Analysis by Robert G. Bartle,Donald R. Sherbert in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2011
Print ISBN
9780471433316
eBook ISBN
9781118135860

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Contents
  5. Preface
  6. CHAPTER 1 PRELIMINARIES
  7. CHAPTER 2 THE REAL NUMBERS
  8. CHAPTER 3 SEQUENCES AND SERIES
  9. CHAPTER 4 LIMITS
  10. CHAPTER 5 CONTINUOUS FUNCTIONS
  11. CHAPTER 6 DIFFERENTIATION
  12. CHAPTER 7 THE RIEMANN INTEGRAL
  13. CHAPTER 8 SEQUENCES OF FUNCTIONS
  14. CHAPTER 9 INFINITE SERIES
  15. CHAPTER 10 THE GENERALIZED RIEMANN INTEGRAL
  16. CHAPTER 11 A GLIMPSE INTO TOPOLOGY
  17. APPENDIX A: LOGIC AND PROOFS
  18. APPENDIX B: FINITE AND COUNTABLE SETS
  19. APPENDIX C: THE RIEMANN AND LEBESGUE CRITERIA
  20. APPENDIX D: APPROXIMATE INTEGRATION
  21. APPENDIX E: TWO EXAMPLES
  22. REFERENCES
  23. PHOTO CREDITS
  24. HINTS FOR SELECTED EXERCISES
  25. INDEX