An Introduction to Nonstandard Real Analysis

An Introduction to Nonstandard Real Analysis

1st Edition - September 28, 1985

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  • Authors: Albert Hurd, Peter Loeb
  • eBook ISBN: 9780080874371

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The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models.


Mathematicians and Researchers.

Table of Contents

  • Preface. Infinitesimals and The Calculus. Nonstandard Analysis on Superstructures. Nonstandard Theory of Topological Spaces. Nonstandard Integration Theory. Appendix.

Product details

  • No. of pages: 232
  • Language: English
  • Copyright: © Academic Press 1985
  • Published: September 28, 1985
  • Imprint: Academic Press
  • eBook ISBN: 9780080874371

About the Authors

Albert Hurd

Affiliations and Expertise

Dept. of Mathematics, University of Victoria, Victoria, British Columbia Canada

Peter Loeb

Affiliations and Expertise

Department of Mathematics, University of Illinois

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