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Advanced Analysis

on the Real Line

  • Textbook
  • © 1996

Overview

Authors:
  1. R. Kannan

    1. Department of Mathematics, University of Texas at Arlington, Arlington, USA

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  2. Carole King Krueger

    1. Department of Mathematics, University of Texas at Arlington, Arlington, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Universitext (UTX)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-ix
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  2. Preliminaries

    • R. Kannan, Carole King Krueger
    Pages 1-18

  3. Monotone Functions

    • R. Kannan, Carole King Krueger
    Pages 19-36

  4. Density and Approximate Continuity

    • R. Kannan, Carole King Krueger
    Pages 37-54

  5. Dini Derivatives

    • R. Kannan, Carole King Krueger
    Pages 55-80

  6. Approximate Derivatives

    • R. Kannan, Carole King Krueger
    Pages 81-101

  7. Additional Results on Derivatives

    • R. Kannan, Carole King Krueger
    Pages 102-117

  8. Bounded Variation

    • R. Kannan, Carole King Krueger
    Pages 118-152

  9. Absolute Continuity

    • R. Kannan, Carole King Krueger
    Pages 153-180

  10. Cantor Sets and Singular Functions

    • R. Kannan, Carole King Krueger
    Pages 181-215

  11. Spaces of BV and AC Functions

    • R. Kannan, Carole King Krueger
    Pages 216-245

  12. Metric Separability

    • R. Kannan, Carole King Krueger
    Pages 246-252

  13. Back Matter

    Pages 253-260
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Keywords

About this book

- < f is increasing. The latter part of the book deals with functions of bounded variation and approximately continuous functions. Finally there is an exhaustive chapter on the generalized Cantor sets and Cantor functions. The bibliography is extensive and a great variety of exercises serves to clarify and sometimes extend the results presented in the text.

Authors and Affiliations

  • Department of Mathematics, University of Texas at Arlington, Arlington, USA

    R. Kannan, Carole King Krueger

Bibliographic Information

  • Book Title: Advanced Analysis

  • Book Subtitle: on the Real Line

  • Authors: R. Kannan, Carole King Krueger

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4613-8474-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1996

  • Softcover ISBN: 978-0-387-94642-9Published: 29 May 1996

  • eBook ISBN: 978-1-4613-8474-8Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: X, 260

  • Topics: Real Functions

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