Beginning functional analysis
Author(s)
Bibliographic Information
Beginning functional analysis
（Undergraduate texts in mathematics）
Springer, c2002
Available at 53 libraries
Note
Bibliography: p. [187]-191
Includes index
Description and Table of Contents
Description
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.
Table of Contents
* 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
by "Nielsen BookData"