Analysis I Third Edition /
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book dis...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2016.
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Edición: | 1st ed. 2016. |
Colección: | Texts and Readings in Mathematics,
37 |
Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Chapter 1. Introduction
- Chapter 2. Starting at the beginning: the natural numbers
- Chapter 3. Set theory
- Chapter 4. Integers and rationals
- Chapter 5. The real numbers
- Chapter 6. Limits of sequences
- Chapter 7. Series
- Chapter 8. Infinite sets
- Chapter 9. Continuous functions on R
- Chapter 10. Differentiation of functions
- Chapter 11. The Riemann integral. .