From Vector Spaces to Function Spaces: Introduction to Functional Analysis with Applications
Autor Yutaka Yamamotoen Limba Engleză Hardback – 3 oct 2012
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Specificații
ISBN-13: 9781611972306
ISBN-10: 1611972302
Pagini: 260
Ilustrații: Illustrations
Dimensiuni: 183 x 261 x 22 mm
Greutate: 0.77 kg
Editura: Society for Industrial and Applied Mathematics
Colecția Society for Industrial and Applied Mathematics
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1611972302
Pagini: 260
Ilustrații: Illustrations
Dimensiuni: 183 x 261 x 22 mm
Greutate: 0.77 kg
Editura: Society for Industrial and Applied Mathematics
Colecția Society for Industrial and Applied Mathematics
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Descriere
A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.