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Beschreibung
The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators as linear transformations on these spaces. It has been the author's goal to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed first courses in linear algebra and real analysis, and to develop the topics in their historical context.
The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators as linear transformations on these spaces. It has been the author's goal to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed first courses in linear algebra and real analysis, and to develop the topics in their historical context.
Zusammenfassung
The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators as linear transformations on these spaces. It has been the author's goal to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed first courses in linear algebra and real analysis, and to develop the topics in their historical context.
Inhaltsverzeichnis
* Metric Spaces, Normed Spaces, Inner Product Spaces * The Topology of Metric Spaces * Measure and Integration * Fourier Analysis in Hilbert Space * An Introduction to Abstract Linear Operator Theory * Further Topics * Appendix A: Complex Numbers * Appendix B: Basic Set Theory
Details
| Medium: | Taschenbuch |
|---|---|
| Inhalt: |
xi
197 S. 13 s/w Illustr. |
| ISBN-13: | 9781441929143 |
| ISBN-10: | 1441929142 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Saxe, Karen |
| Hersteller: |
Springer
Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 12 mm |
| Von/Mit: | Karen Saxe |
| Erscheinungsdatum: | 03.12.2010 |
| Gewicht: | 0,335 kg |