| Titre : | Linear operator theory in engineering and science |
| Auteurs : | Arch W. Naylor, Auteur ; George R. Sell, Auteur |
| Type de document : | Monographie imprimée |
| Editeur : | New York [USA] : Springer, 2000 |
| Collection : | Applied Mathematical Sciences, num. 40 |
| ISBN/ISSN/EAN : | 978-0-387-95001-3 |
| Format : | 1 vol. (624 p.) / couv. ill. en coul. / 23.5 cm |
| Langues: | Anglais |
| Index. décimale : | 515.724 |
| Résumé : |
A unique introduction to the theory of linear operators on Hilbert space. The author presents the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. Provides an introduction to the theory of linear operators on Hilbert space. This book aims to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. This book is a unique introduction to the theory of linear operators o n Hilbert space. The authors goal is to present the basic facts of fu nctional analysis in a form suitable for engineers, scientists, and ap plied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the m aterial covered and many illustrative examples are presented. |
| Sommaire : |
Preface. - Introduction. - Set-Theoretic Structure. - Topological Structure. - Algebraic Structure. - Combined Topological and Algebraic Structure. - Analysis of Linear Operators (Compact Case). - Analysis of Unbounded Operators. - The Hoelder, Schwartz, and Minkowski Inequalities. - Cardinality. - Zorn's Lemma. - Integration and Measure Theory. - Probability Spaces and Stochastic Processes. - Index of Symbols. - Index |
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| Analyse numérique et équations différentielles | Demailly, Jean-Pierre (1957-....) |
| Analyse numérique | Lakrib, Mustapha |
| Introduction à la théorie générale des processus et intégrales stochastiques | Laleuf, Jean-Claude |
