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An Introduction to Analysis

  • Arlen Brown
  • Carl Pearcy

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

Table of contents

  1. Front Matter
    Pages i-vii
  2. Arlen Brown, Carl Pearcy
    Pages 3-24
  3. Arlen Brown, Carl Pearcy
    Pages 25-45
  4. Arlen Brown, Carl Pearcy
    Pages 46-64
  5. Arlen Brown, Carl Pearcy
    Pages 65-79
  6. Arlen Brown, Carl Pearcy
    Pages 80-95
  7. Arlen Brown, Carl Pearcy
    Pages 96-134
  8. Arlen Brown, Carl Pearcy
    Pages 135-173
  9. Arlen Brown, Carl Pearcy
    Pages 174-223
  10. Arlen Brown, Carl Pearcy
    Pages 224-276
  11. Back Matter
    Pages 277-300

About this book

Introduction

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.

Keywords

Analysis calculus compactness mathematical analysis metric space

Authors and affiliations

  • Arlen Brown
    • 1
  • Carl Pearcy
    • 2
  1. 1.BloomingtonUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0787-0
  • Copyright Information Springer-Verlag New York, Inc. 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6901-4
  • Online ISBN 978-1-4612-0787-0
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site