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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2012.
|
| Colección: | Australian Mathematical Society lecture series ;
21. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.