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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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| 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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MARC
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| 020 | |a 0387942173 |q (New York : acidfree paper) | ||
| 020 | |a 3540942173 |q (Berlin : acidfree paper) | ||
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| 050 | 0 | 0 | |a QA300 |b .B457 1994 |
| 082 | 0 | 0 | |a 515.8 |2 20 |
| 100 | 1 | |a Berberian, Sterling K., |d 1926- |9 13279 | |
| 245 | 1 | 2 | |a A first course in real analysis / |c Sterling K. Berberian. |
| 264 | |a New York : |b Springer-Verlag, |c c1994. | ||
| 300 | |a xi, 237 pages : |b illustrations ; |c 25 cm. | ||
| 336 | |2 rdacontent |a text |b txt | ||
| 337 | |2 rdamedia |a unmediated |b n | ||
| 338 | |2 rdacarrier |a volume |b nc | ||
| 440 | 0 | |a Undergraduate texts in mathematics |9 13266 | |
| 501 | |a "With 19 illustrations" | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | |a Content: Ch. 1. Axioms for the Field R of Real Numbers Ch. 2. First Properties of R Ch. 3. Sequences of Real Numbers, Convergence Ch. 4. Special Subsets of R Ch. 5. Continuity Ch. 6. Continuous Functions on an Interval Ch. 7. Limits of Functions Ch. 8. Derivatives Ch. 9. Riemann Integral Ch. 10. Infinite Series Ch. 11. Beyond the Riemann Integral. | ||
| 520 | |a 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 | ||
| 650 | 0 | |a Mathematical analysis. |9 455 | |
| 650 | 0 | |a Numbers, Real. |9 13280 | |
| 856 | 4 | 2 | |3 Publisher description |u http://www.loc.gov/catdir/enhancements/fy0815/93046020-d.html |
| 856 | 4 | 1 | |3 Table of contents only |u http://www.loc.gov/catdir/enhancements/fy0815/93046020-t.html |
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