Screen LibraryFunctional analysis in modern applied mathematics /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
Saved in:
| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Group Author: | |
| Published: |
Academic Press,
|
| Publisher Address: | London ; New York : |
| Publication Dates: | 1977. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Mathematics in science and engineering ;
v. 132 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/00765392/132 |
| Summary: |
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;<BR id="CRLF">methods |
| Carrier Form: | 1 online resource (ix, 339 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9780080956411 0080956416 |
| Index Number: | QA320 |
| CLC: | O177 |
| Contents: | Cover13; -- Functional Analysis in Modern Applied Mathematics -- Copyright Page -- Contents -- Introduction -- PART I: Basic Functional Analysis -- Chapter 1. NORMED LINEAR SPACES -- Chapter 2. INTEGRATION THEORY FOR REAL-VALUED FUNCTIONS -- Chapter 3. LINEAR TRANSFORMATIONS -- Chapter 4. HILBERT SPACES -- Chapter 5. PROBABILITY THEORY -- Chapter 6. CALCULUS IN BANACH SPACES -- Chapter 7. TOPOLOGICAL SPACES -- Part II: Analysis of Abstract Equations -- Chapter 8. DIFFERENTIAL EQUATIONS -- 8.1 Ordinary differential equations -- 8.2 Stochastic differential equations -- 8.3 Differential delay e |