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Introductory Problem Courses in Analysis and Topology

  • Textbook
  • © 1982

Overview

Authors:
  1. Edwin E. Moise

    1. Department of Mathematics Queens College, City University of New York, Flushing, USA

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Part of the book series: Universitext (UTX)

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-vii
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  2. Analysis

    1. Front Matter

      Pages ix-ix
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    2. Notations

      • Edwin E. Moise
      Pages 1-1

    3. The Real Numbers, Regarded as an Ordered Field

      • Edwin E. Moise
      Pages 2-5

    4. Functions, Limits, and Continuity

      • Edwin E. Moise
      Pages 6-10

    5. Integers. Sequences. The Induction Principle

      • Edwin E. Moise
      Pages 11-14

    6. The Continuity of IR

      • Edwin E. Moise
      Pages 15-21

    7. The Riemann Integral of a Bounded Function

      • Edwin E. Moise
      Pages 22-27

    8. Necessary and Sufficient Conditions for Integrability

      • Edwin E. Moise
      Pages 28-31

    9. Invertible Functions. Arc-length and Path-length

      • Edwin E. Moise
      Pages 32-36

    10. Point-wise Convergence and Uniform Convergence

      • Edwin E. Moise
      Pages 37-39

    11. Infinite Series

      • Edwin E. Moise
      Pages 40-43

    12. Absolute Convergence. Rearrangements of Series

      • Edwin E. Moise
      Pages 44-45

    13. Power Series

      • Edwin E. Moise
      Pages 46-48

    14. Power Series for Elementary Functions

      • Edwin E. Moise
      Pages 49-50

  3. Topology

    1. Front Matter

      Pages 51-51
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    2. Sets and Functions

      • Edwin E. Moise
      Pages 53-56

    3. Metric Spaces

      • Edwin E. Moise
      Pages 57-59

    4. Neighborhood Spaces and Topological Spaces

      • Edwin E. Moise
      Pages 60-64

    5. Cardinality. Finite and Countable Sets

      • Edwin E. Moise
      Pages 65-68
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Keywords

Authors and Affiliations

  • Department of Mathematics Queens College, City University of New York, Flushing, USA

    Edwin E. Moise

Bibliographic Information

  • Book Title: Introductory Problem Courses in Analysis and Topology

  • Authors: Edwin E. Moise

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4613-8183-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1982

  • Softcover ISBN: 978-0-387-90701-7Published: 05 May 1982

  • eBook ISBN: 978-1-4613-8183-9Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: 94

  • Topics: Analysis, Topology

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