© 1998

Basic Elements of Real Analysis


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

About this book


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.


Implicit function calculus derivative differential equation real analysis

Authors and affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • Book Title Basic Elements of Real Analysis
  • Authors Murray H. Protter
  • Series Title Undergraduate Texts in Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-98479-7
  • Softcover ISBN 978-1-4757-7150-3
  • eBook ISBN 978-0-387-22749-8
  • Series ISSN 0172-6056
  • Edition Number 1
  • Number of Pages XII, 276
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Real Functions
  • Buy this book on publisher's site


"This book is intended for a "shortened" course aimed at students who intend to study the physical sciences or computer science. It covers the most important topics in an elementary way. ... The book can be recommended to students desiring a good solid background in mathematics for the study of other sciences without unnecessary detours."
EMS Newsletter, June 2001