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A first course in real analysis /
Summary: "This book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Series: | Undergraduate texts in mathematics
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| Subjects: | |
| Online Access: | Publisher description Table of contents only |
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| Summary: | Summary:
"This book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done". - Author |
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| Physical Description: | xi, 237 pages : illustrations ; 25 cm. |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: | 9781461264330 0387942173 3540942173 |