2009

Problems in Real Analysis

Advanced Calculus on the Real Axis

ISBN: 978-0-387-77378-0 (Print) 978-0-387-77379-7 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages 1-15

  2. Sequences, Series, and Limits

    1. Front Matter

      Pages 1-2

    2. No Access

      Book Chapter

      Pages 3-57

      Sequences

    3. No Access

      Book Chapter

      Pages 59-114

      Series

    4. No Access

      Book Chapter

      Pages 115-135

      Limits of Functions

  3. Qualitative Properties of Continuous and Differentiable Functions

    1. Front Matter

      Pages 237-238

    2. No Access

      Book Chapter

      Pages 139-181

      Continuity

    3. No Access

      Book Chapter

      Pages 183-259

      Differentiability

  4. Applications to Convex Functions and Optimization

    1. Front Matter

      Pages 261-262

    2. No Access

      Book Chapter

      Pages 263-287

      Convex Functions

    3. No Access

      Book Chapter

      Pages 289-310

      Inequalities and Extremum Problems

  5. Antiderivatives, Riemann Integrability, and Applications

    1. Front Matter

      Pages 311-312

    2. No Access

      Book Chapter

      Pages 313-324

      Antiderivatives

    3. No Access

      Book Chapter

      Pages 325-372

      Riemann Integrability

    4. No Access

      Book Chapter

      Pages 373-414

      Applications of the Integral Calculus

  6. Appendix

    1. Front Matter

      Pages 415-416

    2. No Access

      Book Chapter

      Pages 417-420

      Basic Elements of Set Theory

  7. Back Matter

    Pages 1-31