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A First Course in Real Analysis

  • Textbook
  • © 1991

Overview

Authors:
  1. Murray H. Protter

    1. Department of Mathematics, University of California at Berkeley, Berkeley, USA

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  2. Charles B. Morrey
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Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. The Real Number System

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 1-29

  3. Continuity and Limits

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 30-58

  4. Basic Properties of Functions on ℝ1

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 59-82

  5. Elementary Theory of Differentiation

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 83-97

  6. Elementary Theory of Integration

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 98-129

  7. Elementary Theory of Metric Spaces

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 130-172

  8. Differentiation in ℝN

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 173-193

  9. Integration in ℝN

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 194-210

  10. Infinite Sequences and Infinite Series

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 211-262

  11. Fourier Series

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 263-284

  12. Functions Defined by Integrals; Improper Integrals

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 285-304

  13. The Riemann—Stieltjes Integral and Functions of Bounded Variation

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 305-328

  14. Contraction Mappings, Newton’s Method, and Differential Equations

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 329-340

  15. Implicit Function Theorems and Lagrange Multipliers

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 341-373

  16. Functions on Metric Spaces; Approximation

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 374-412

  17. Vector Field Theory; the Theorems of Green and Stokes

    • Murray H. Protter, Charles B. Morrey Jr.
    Pages 413-493

  18. Back Matter

    Pages 495-536
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Keywords

About this book

Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

Authors and Affiliations

  • Department of Mathematics, University of California at Berkeley, Berkeley, USA

    Murray H. Protter

Bibliographic Information

  • Book Title: A First Course in Real Analysis

  • Authors: Murray H. Protter, Charles B. Morrey

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4419-8744-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1991

  • Hardcover ISBN: 978-0-387-97437-8Published: 01 August 1991

  • Softcover ISBN: 978-1-4612-6460-6Published: 23 October 2012

  • eBook ISBN: 978-1-4419-8744-0Published: 14 November 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: XVIII, 536

  • Topics: Real Functions

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