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A course in modern analysis and its applications /
Designed for one-semester courses for senior undergraduates, this book approaches topics initially through convergence of sequences in metric space. However, the alternative topological approach is also described. Applications are included from differential and integral equations, systems of linear...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2003.
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| Colección: | Australian Mathematical Society lecture series ;
17. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Prelude to Modern Analysis; 2 Metric Spaces; 3 The Fixed Point Theorem and its Applications; 4 Compactness; 5 Topological Spaces; 6 Normed Vector Spaces; 7 Mappings on Normed Spaces; 8 Inner Product Spaces; 9 Hilbert Space; Bibliography; Selected Solutions; Index.