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Functional Analysis : an Introduction to Banach Space Theory.
A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasi...
| Clasificación: | Libro Electrónico |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiley-Interscience
2011.
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| Colección: | Pure and applied mathematics (John Wiley & Sons : Unnumbered)
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and "do" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material. |
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| Descripción Física: | 1 online resource (379 pages) |
| Bibliografía: | Includes bibliographical references (p. 341-344) and indexes. |
| ISBN: | 1283306255 9781283306256 9781118031247 1118031245 |