Beginning Functional Analysis

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ISBN-13:
9780387952246
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
07.12.2001
Seiten:
216
Autor:
Karen Saxe
Gewicht:
494 g
Format:
241x160x16 mm
Sprache:
Englisch
Beschreibung:

The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.
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.
* 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

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