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An Introduction to Analysis

  • Textbook
  • © 1995

Overview

Authors:
  1. Arlen Brown

    1. Bloomington, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Carl Pearcy

    1. Department of Mathematics, Texas A&M University, College Station, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Graduate Texts in Mathematics (GTM, volume 154)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. The rudiments of set theory

    • Arlen Brown, Carl Pearcy
    Pages 3-24

  3. Number systems

    • Arlen Brown, Carl Pearcy
    Pages 25-45

  4. Linear algebra

    • Arlen Brown, Carl Pearcy
    Pages 46-64

  5. Cardinal numbers

    • Arlen Brown, Carl Pearcy
    Pages 65-79

  6. Ordinal numbers

    • Arlen Brown, Carl Pearcy
    Pages 80-95

  7. Metric spaces

    • Arlen Brown, Carl Pearcy
    Pages 96-134

  8. Continuity and limits

    • Arlen Brown, Carl Pearcy
    Pages 135-173

  9. Completeness and compactness

    • Arlen Brown, Carl Pearcy
    Pages 174-223

  10. General topology

    • Arlen Brown, Carl Pearcy
    Pages 224-276

  11. Back Matter

    Pages 277-300
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Keywords

About this book

As its title indicates, this book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M University, and has proved serviceable. In addition to its primary purpose as a textbook for a formal course, however, it is the authors' hope that this book will also prove of value to readers interested in studying mathematical analysis on their own. Indeed, we believe the wealth and variety of examples and exercises will be especially conducive to this end. A word on prerequisites. With what mathematical background might a prospective reader hope to profit from the study of this book? Our con­ scious intent in writing it was to address the needs of a beginning graduate student in mathematics, or, to put matters slightly differently, a student who has completed an undergraduate program with a mathematics ma­ jor. On the other hand, the book is very largely self-contained and should therefore be accessible to a lower classman whose interest in mathematical analysis has already been awakened.

Authors and Affiliations

  • Bloomington, USA

    Arlen Brown

  • Department of Mathematics, Texas A&M University, College Station, USA

    Carl Pearcy

Bibliographic Information

  • Book Title: An Introduction to Analysis

  • Authors: Arlen Brown, Carl Pearcy

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0787-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-387-94369-5Published: 16 December 1994

  • Softcover ISBN: 978-1-4612-6901-4Published: 30 September 2012

  • eBook ISBN: 978-1-4612-0787-0Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: VII, 300

  • Topics: Analysis

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