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Intermediate Real Analysis

  • Emanuel Fischer

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Emanuel Fischer
    Pages 1-41
  3. Emanuel Fischer
    Pages 42-91
  4. Emanuel Fischer
    Pages 92-150
  5. Emanuel Fischer
    Pages 151-201
  6. Emanuel Fischer
    Pages 202-239
  7. Emanuel Fischer
    Pages 240-289
  8. Emanuel Fischer
    Pages 290-339
  9. Emanuel Fischer
    Pages 340-377
  10. Emanuel Fischer
    Pages 378-426
  11. Emanuel Fischer
    Pages 558-600
  12. Emanuel Fischer
    Pages 601-680
  13. Emanuel Fischer
    Pages 681-709
  14. Back Matter
    Pages 764-770

About this book

Introduction

There are a great deal of books on introductory analysis in print today, many written by mathematicians of the first rank. The publication of another such book therefore warrants a defense. I have taught analysis for many years and have used a variety of texts during this time. These books were of excellent quality mathematically but did not satisfy the needs of the students I was teaching. They were written for mathematicians but not for those who were first aspiring to attain that status. The desire to fill this gap gave rise to the writing of this book. This book is intended to serve as a text for an introductory course in analysis. Its readers will most likely be mathematics, science, or engineering majors undertaking the last quarter of their undergraduate education. The aim of a first course in analysis is to provide the student with a sound foundation for analysis, to familiarize him with the kind of careful thinking used in advanced mathematics, and to provide him with tools for further work in it. The typical student we are dealing with has completed a three-semester calculus course and possibly an introductory course in differential equations. He may even have been exposed to a semester or two of modern algebra. All this time his training has most likely been intuitive with heuristics taking the place of proof. This may have been appropriate for that stage of his development.

Keywords

Differentialrechnung Fischer Integralrechnung calculus real analysis

Authors and affiliations

  • Emanuel Fischer
    • 1
  1. 1.Department of MathematicsAdelphi UniversityGarden CityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-9481-5
  • Copyright Information Springer-Verlag New York 1983
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-9483-9
  • Online ISBN 978-1-4613-9481-5
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site
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