An introduction to nonstandard real analysis /

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...

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Bibliographic Details
Main Authors: Hurd, A. E. Albert Emerson, 1931
Corporate Authors: Elsevier Science & Technology
Group Author: Loeb, Peter A
Published: Academic Press,
Publisher Address: Orlando :
Publication Dates: 1985.
Literature type: eBook
Language: English
Subjects:
Online Access: http://www.sciencedirect.com/science/bookseries/00798169/118
Summary: 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 nonstanda
Carrier Form: 1 online resource (xii, 232 pages)
Bibliography: Includes bibliographical references (pages 222-224) and index.
ISBN: 9780080874371
0080874371
1281763675
9781281763679
Index Number: QA299
CLC: O17
Contents: Preface. Infinitesimals and The Calculus. Nonstandard Analysis on Superstructures. Nonstandard Theory of Topological Spaces. Nonstandard Integration Theory. Appendix.