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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: | |
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| Format: | Printed Book |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2012.
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| Series: | Australian Mathematical Society lecture series ;
21 |
| Subjects: | |
| Online Access: | http://assets.cambridge.org/97811070/26780/cover/9781107026780.jpg |
Table of Contents:
- 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.