Résumé
The unifying approach of functional analysis is to view
functions as points in some abstract vector space and the
differential and integral operators relating these points
as linear transformations on these spaces. The author
presents the basics of functional analysis with attention
paid to both expository style and technical detail, while
getting to interesting results as quickly as possible. The
book is accessible to students who have completed first
courses in linear algebra and real analysis. Topics are
developed in their historical context, with accounts of the
past - including biographies -- appearing throughout the
text. The book offers suggestions and references for
further study, and many exercises.
Appendix B: Basic Set Theory
Contents
Preface
Introduction
- 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 B: Basic Set Theory
L'auteur - Karen Saxe
Karen Saxe is Associate Professor of Mathematics at
Macalester College in St. Paul, Minnesota. She received her
Ph.D. from the University of Oregon. Before joining the
faculty at Macalester, she held a two-year FIPSE
post-doctoral position at St. Olaf College in Northfield,
Minnesota. She currently serves on the editorial board of
the MAA's College Mathematics Journal. This is her first
book.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Karen Saxe |
| Parution | 27/12/2001 |
| Nb. de pages | 198 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 482g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387952246 |
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