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  • Textbook
  • © 1991

A First Course in Real Analysis

Authors:

  1. Murray H. Protter

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Charles B. Morrey
    View author publications

    You can also search for this author in PubMed   Google Scholar

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
    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
    PDF
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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.
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Keywords

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Authors and Affiliations

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

    Murray H. Protter

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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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Access via your institution

Buy it now

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 74.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 74.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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