Advertisement

Real Mathematical Analysis

  • Charles Chapman Pugh

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

Table of contents

  1. Front Matter
    Pages i-xi
  2. Charles Chapman Pugh
    Pages 1-50
  3. Charles Chapman Pugh
    Pages 51-137
  4. Charles Chapman Pugh
    Pages 139-200
  5. Charles Chapman Pugh
    Pages 201-266
  6. Charles Chapman Pugh
    Pages 267-361
  7. Charles Chapman Pugh
    Pages 363-429
  8. Back Matter
    Pages 431-440

About this book

Introduction

Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician.
In this new introduction to undergraduate real analysis the author takes a different approach from past presentations of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises.

Keywords

Real Mathematical Analysis calculus integral mathematical analysis real analysis real number

Authors and affiliations

  • Charles Chapman Pugh
    • 1
  1. 1.Mathematics DepartmentUniversity of California at BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21684-3
  • Copyright Information Springer-Verlag New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2941-9
  • Online ISBN 978-0-387-21684-3
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site