An Introduction to Nonstandard Real Analysis, Volume 118

1st Edition

Authors: Albert Hurd Peter Loeb
Hardcover ISBN: 9780123624406
eBook ISBN: 9780080874371
Imprint: Academic Press
Published Date: 28th September 1985
Page Count: 232
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Table of Contents

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


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.


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© Academic Press 1985
Academic Press
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About the Authors

Albert Hurd Author

Affiliations and Expertise

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

Peter Loeb Author

Affiliations and Expertise

Department of Mathematics, University of Illinois