Basic Elements of Real Analysis

Authors:

ISBN: 978-0-387-98479-7 (Print) 978-0-387-22749-8 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Chapter

    Pages 1-22

    The Real Number System

  3. No Access

    Chapter

    Pages 23-44

    Continuity and Limits

  4. No Access

    Chapter

    Pages 45-66

    Basic Properties of Functions on ℝ1

  5. No Access

    Chapter

    Pages 67-80

    Elementary Theory of Differentiation

  6. No Access

    Chapter

    Pages 81-100

    Elementary Theory of Integration

  7. No Access

    Chapter

    Pages 101-124

    Elementary Theory of Metric Spaces

  8. No Access

    Chapter

    Pages 125-149

    Differentiation and Integration in ℝN

  9. No Access

    Chapter

    Pages 150-177

    Infinite Series

  10. No Access

    Chapter

    Pages 178-189

    The Derivative of an Integral

  11. No Access

    Chapter

    Pages 190-204

    The Riemann-Stieltjes Integral

  12. No Access

    Chapter

    Pages 205-213

    The Implicit Function Theorem. Lagrange Multipliers

  13. No Access

    Chapter

    Pages 214-259

    Vector Functions on ℝN; The Theorems of Green and stokes

  14. Back Matter

    Pages 261-274