Beginning Functional Analysis

Beginning Functional Analysis

Einband:
Fester Einband
EAN:
9780387952246
Untertitel:
Undergraduate Texts in Mathematics
Genre:
Mathematik
Autor:
Karen Saxe
Herausgeber:
Springer New York
Auflage:
2002
Anzahl Seiten:
216
Erscheinungsdatum:
07.12.2001
ISBN:
0387952241

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.

Includes supplementary material: sn.pub/extras

Inhalt
Introduction: To the Student.- 1 Metric Spaces, Normed Spaces, Inner Product Spaces.- 2 The Topology of Metric Spaces.- 3 Measure and Integration.- 4 Fourier Analysis in Hilbert Space.- 5 An Introduction to Abstract Linear Operator Theory.- 6 Further Topics.- A Complex Numbers.- Exercises for Appendix A.- B Basic Set Theory.- Exercises for Appendix B.- References.


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