Basic Elements of Real Analysis

  • Murray H. Protter

Part of the Undergraduate Texts in Mathematics book series (UTM)

About this book

Introduction

From the author of the highly acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one- semester course in real analysis. Many students of mathematics and those students who intend to study any of the physical sciences and computer science need a text that presents the most important material in a brief and elementary fashion. The author has included such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed. There are illustrative examples throughout with over 45 figures.

Keywords

Implicit function calculus derivative differential equation real analysis

Authors and affiliations

  • Murray H. Protter
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b98884
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98479-7
  • Online ISBN 978-0-387-22749-8
  • Series Print ISSN 0172-6056
  • About this book