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Lectures on real analysis /
"This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All o...
| Main Author: | |
|---|---|
| Format: | Printed Book |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2012.
|
| Series: | Australian Mathematical Society lecture series ;
21 |
| Subjects: | |
| Online Access: | http://assets.cambridge.org/97811070/26780/cover/9781107026780.jpg |
| LEADER | 02494cam a2200313 i 4500 | ||
|---|---|---|---|
| 008 | 120207s2012 nyu 001 0 eng | ||
| 010 | |a 2012005596 | ||
| 020 | |a 9781107026780 (hardback) | ||
| 042 | |a pcc | ||
| 082 | 0 | 0 | |a 515 |2 23 |
| 084 | |2 msc |a 26 | ||
| 100 | 1 | |a Lárusson, Finnur, | |
| 240 | 1 | 0 | |a Lectures. |k Selections |
| 245 | 1 | 0 | |a Lectures on real analysis / |c Finnur Lárusson, University of Adelaide. |
| 260 | |a New York : |b Cambridge University Press, |c 2012. | ||
| 300 | |a x, 117 pages ; |c 24 cm. | ||
| 490 | 0 | |a Australian Mathematical Society lecture series ; |v 21 | |
| 500 | |a Includes index. | ||
| 505 | 8 | |a Machine generated contents note: Preface; To the student; 1. Numbers, sets, and functions; 2. The real numbers; 3. Sequences; 4. Open, closed, and compact sets; 5. Continuity; 6. Differentiation; 7. Integration; 8. Sequences and series of functions; 9. Metric spaces; 10. The contraction principle; Index. | |
| 520 | |a "This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"-- | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis. | |
| 856 | 4 | 2 | |u http://assets.cambridge.org/97811070/26780/cover/9781107026780.jpg |
| 906 | |a 7 |b cbc |c orignew |d 1 |e ecip |f 20 |g y-gencatlg | ||
| 942 | |c BK | ||
| 955 | |b pa20 2012-02-07 |c pa20 2012-02-07 ONIX to STM |a xn05 2012-08-21 1 copy rec'd., to CIP ver. | ||
| 999 | |c 135798 |d 135798 | ||
| 952 | |0 0 |1 0 |4 0 |6 26_000000000000000_LAR |7 0 |9 150334 |a MAT |b MAT |c ST1 |d 2014-02-06 |i 6481 |l 0 |o 26 LAR |p MAT6481 |r 2014-02-06 |w 2018-08-20 |y BK | ||
| 952 | |0 0 |1 0 |2 ddc |4 0 |6 515_000000000000000 |7 0 |9 382787 |a MAT |b MAT |c ST1 |d 2019-04-27 |i G1090 |l 0 |o 515 |p MATG1090 |r 2019-04-27 |w 2019-04-27 |y BK | ||