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Introduction to Real Analysis
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Table of Contents

  • The Real Numbers
  • Topology of the Real Line
  • 3. Sequences of Real Numbers

    4. Limits and Continuity

    5. Differentiation

    6. Integration

    7. Series of Real Numbers

    8. Sequences and Series of Functions

    9. Fourier Series

    10. Lebesgue Measure and Integrations

    About the Author

    Manfred Stoll received his Ph.D. from Penn State University under the supervision of K.T. Hahn and supported by an NDEA Fellowship. He has spent his entire career at University of South Carolina, serving as Department Chair, and supervised 3 master's students and eight doctoral students. He has published over 47 refereed research articles and published three books. He has served as a Referee on over 22 journals, served on numerous Panel Sessions for the AMS and Review Panels for the Science Foundation of Ireland (2005-2008), and was the Program Officer in Mathematics and Physics for the Science Foundation of Ireland in Summer 2007. Since 1990 he has given 27 invited conference talks, including hour addresses and plenary talks.

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