title: A First Course in Real Analysis (Undergraduate Texts in Mathematics)
author:  Murray H. Protter 
description: This book is designed for a first course in real analysis following the standard course in elementary calculus. Included in this edition are the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits.
zlib_text: **Basic Elements of Real**
  
   **Analysis**
  
  _Murray H. Protter_
  
   **Springer**
  
  ![](Images/image00302.jpeg)
  
  ![](Images/image00303.jpeg)
  
  ![](Images/image00304.jpeg)
  
  Murray H. Protter
  
  Department of Mathematics
  
  University of California
  
  Berkeley, CA 94720
  
  USA
  
  _Editorial Board_
  
  S. Axler
  
  F.W. Gehring
  
  K.A. Ribet
  
  MathematicsDepartment
  
  MathematicsDepartment
  
  Department of
  
  San Francisco State
  
  East Hall
  
  Mathematics
  
  University
  
  University of Michigan
  
  University of California
  
  San Francisco, CA 94132
  
  Ann Arbor, MI 48109
  
  at Berkeley
  
  USA
  
  USA
  
  Berkeley, CA 94720-3840
  
  USA
  
  _Front cover illustration_ : _fn_ convergesto _f_ , but _f_ 1 _f_ _f_. (See p.
  167 of
  
  0 _n_ doesnot converge to _f_ 1
  
  0
  
  text for explanation.)
  
  Mathematics Subject Classification (1991): 26-01, 26-06, 26A54
  
  Library of Congress Cataloging-in-Publication Data
  
  Protter, Murray H.
  
  Basic elements of real analysis / Murray H. Protter.
  
  p.
  
  cm.—(Undergraduate textsin mathematics)
  
  Includesbibliographical reference