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Functional 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London ; New York :
Academic Press,
1977.
|
| Colección: | Mathematics in science and engineering ;
v. 132. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 003 | OCoLC | ||
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| 020 | |z 0121962504 | ||
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| 050 | 4 | |a QA320 |b .C87 1977 | |
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| 100 | 1 | |a Curtain, Ruth F. | |
| 245 | 1 | 0 | |a Functional analysis in modern applied mathematics / |c Ruth F. Curtain, A.J. Pritchard. |
| 260 | |a London ; |a New York : |b Academic Press, |c 1977. | ||
| 300 | |a 1 online resource (ix, 339 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 132 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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 equations -- 8.4 Partial differential equations -- 8.5 Abstract equations -- 8.6 Semigroup theory -- 8.7 Solution of inhomogeneous abstract evolution equations -- Chapter 9. SPECTRAL THEORY AND APPLICATIONS -- 9.1 Spectral theory in finite dimensions -- 9.2 Spectrum of closed linear operators on a normed linear space -- 9.3 Spectral theory for compact normal operators -- 9.4 Spectral decomposition for unbounded linear operators -- Part III: Applications -- Chapter 10. STABILITY THEORY -- 10.1 Liapunov stability for ordinary differential equations -- 10.2 Stability properties of operators : perturbation theory -- Chapter 11. LINEAR SYSTEMS THEORY -- 11.1 Controllability -- 11.2 Stability -- 11.3 Observability -- 11.4 Linear quadratic control problems -- 11.5 Filtering -- 11.6 Time optimal control -- Chapter 12. OPTIMIZATION PROBLEMS -- 12.1 Minimization of coercive bilinear forms -- 12.2 Least squares minimization in a Hilbert space -- 12.3 Unconstrained Calculus of Variations problems -- 12.4 Minimization under equality constraints -- 12.5 Minimization with inequality constraints -- 12.6 Optimal control theory -- Chapter 13. NUMERICAL METHODS -- 13.1 General principles and introduction -- 13.2 Linear equations -- 13.3 Nonlinear equations -- 13.4 Approximation theory -- 13.5 Numerical solution of optimization problems -- Chapter 14. INFINITE DIMENSIONAL LINEAR SYSTEMS THEORY -- 14.1 Controllability -- 14.2 Observability -- 14.3 The quadratic cost control problem for evolution equations -- 14.4 A direct approach to the quadratic cost control problem -- INDEX. | |
| 520 | |a 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 for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and<BR id="CRLF">methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.<BR id="CRLF"><BR id="CRLF">As a result, the book represents a blend of new methods in general computational analysis, <BR id="CRLF">and specific, but also generic, techniques for study of systems theory ant its particular<BR id="CRLF">branches, such as optimal filtering and information compression | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 6 | |a Analyse fonctionnelle. |0 (CaQQLa)201-0001196 | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Functional analysis |2 fast |0 (OCoLC)fst00936061 | |
| 650 | 1 | 7 | |a Analytische ruimten. |2 gtt |
| 650 | 1 | 7 | |a Functionaalanalyse. |2 gtt |
| 650 | 7 | |a Analyse fonctionnelle. |2 ram | |
| 655 | 4 | |a Electronic resource. | |
| 700 | 1 | |a Pritchard, A. J. | |
| 776 | 0 | 8 | |i Print version: |a Curtain, Ruth F. |t Functional analysis in modern applied mathematics. |d London ; New York : Academic Press, 1977 |z 0121962504 |z 9780121962500 |w (DLC) 77071795 |w (OCoLC)3381685 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 132. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780121962500 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/132 |z Texto completo |