Beginning functional analysis
著者
書誌事項
Beginning functional analysis
（Undergraduate texts in mathematics）
Springer, c2002
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注記
Bibliography: p. [187]-191
Includes index
内容説明・目次
内容説明
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.
目次
* 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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