An introduction to nonstandard real analysis
著者
書誌事項
An introduction to nonstandard real analysis
（Pure and applied mathematics, 118）
Academic Press, 1985
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Preface. Infinitesimals and The Calculus. Nonstandard Analysis on Superstructures. Nonstandard Theory of Topological Spaces. Nonstandard Integration Theory. Appendix.
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