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Real Analysis Foundations and Functions of One Variable /
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the st...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Undergraduate Texts in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- A Short Historical Introduction
- Basic Concepts
- Real Numbers
- Infinite Sequences I
- Infinite Sequences II
- Infinite Sequences III
- Rudiments of Infinite Series
- Countable Sets
- Real Valued Functions of One Variable
- Continuity and Limits of Functions
- Various Important Classes of Functions (Elementary Functions)
- Differentiation
- Applications of Differentiation
- The Definite Integral
- Integration
- Applications of Integration
- Functions of Bounded Variation
- The Stieltjes Integral
- The Improper Integral.