A Guide to Real Variables

A Guide to Real Variables

by Steven G. Krantz
     
 

ISBN-10: 0883853442

ISBN-13: 9780883853443

Pub. Date: 08/03/2009

Publisher: Mathematical Association of America

A Guide to Real Variables is an aid and conceptual support for students taking an undergraduate course on real analysis. It focuses on concepts, results, examples and illustrative figures, rather than the details of proofs, in order to remain a concise guide which students can dip into. The core topics of a first real analysis course are covered, including

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Overview

A Guide to Real Variables is an aid and conceptual support for students taking an undergraduate course on real analysis. It focuses on concepts, results, examples and illustrative figures, rather than the details of proofs, in order to remain a concise guide which students can dip into. The core topics of a first real analysis course are covered, including sequences, series, modes of convergence, the derivative, the integral and metric spaces. The next book in this series, Folland's A Guide to Advanced Real Analysis is designed to naturally follow on from this book, and introduce students to graduate level real analysis. Together these books provide a concise guide to the subject at all levels, ideal for student preparation for exams.

Product Details

ISBN-13:
9780883853443
Publisher:
Mathematical Association of America
Publication date:
08/03/2009
Pages:
163
Product dimensions:
6.10(w) x 9.10(h) x 0.50(d)

Table of Contents

Preface; 1. Basics; 2. Sequences; 3. Series; 4. The topology of the real line; 5. Limits and the continuity of functions; 6. The derivative; 7. The integral; 8. Sequences and series of functions; 9. Advanced topics; Glossary of terms from real variable theory; Bibliography; Index.

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