From Vector Spaces to Function Spaces
Introduction to Functional Analysis with Applications
Lieferzeit: Besorgungstitel - Lieferbar innerhalb von 10 Werktagen I
Gewicht:
765 g
Format:
261x182x25 mm
Beschreibung:
A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.
Presents an easily-accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; and an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking.
Preface; Glossary of symbols; 1. Vector spaces revisited; 2. Normed linear spaces and Banach spaces; 3. Inner product and Hilbert spaces; 4. Dual spaces; 5. The space L(X,Y) of linear operators; 6. Schwartz distributions; 7. Fourier series and Fourier transform; 8. Laplace transform; 9. Hardy spaces; 10. Applications to systems and control; Appendix A. Some background in sets, mappings, topology; Appendix B. Table of Laplace transforms; Solutions; Bibliographical notes; Bibliography; Index.