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Quadratic form theory and differential equations /
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: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1980.
|
| Colección: | Mathematics in science and engineering ;
v. 152. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Gregory, John, |d 1938 March 2- | |
| 245 | 1 | 0 | |a Quadratic form theory and differential equations / |c John Gregory. |
| 260 | |a New York : |b Academic Press, |c 1980. | ||
| 300 | |a 1 online resource (xii, 237 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. 152 | |
| 504 | |a Includes bibliographical references (pages 231-233) and index. | ||
| 588 | 0 | |a Print version record. | |
| 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 |5 MiAaHDL |2 pda | |
| 505 | 0 | |a Front Cover; Quadratic Form Theory and Differential Equations; Copyright Page; Contents; Preface; Chapter 0 A Few Introductory Remarks; Chapter 1 Introduction to Quadratic Forms and Differential Equations; 1.0 Introduction; 1.1 The Finite-Dimensional Case; 1.2 The Calculus of Variations; 1.3 Fundamental Lemmas (Integration by Parts); 1.4 Quadratic Forms and Differential Equations; Chapter 2 Abstract Theory; 2.0 Introduction; 2.1 Hilbert Space Theory; 2.2 Further Ideas of Hestenes; 2.3 Approximation Theory of Quadratic Forms; Chapter 3 The Second-Order Problem; 3.0 Introduction. | |
| 505 | 8 | |a 3.1 The Focal-Point Problem3.2 The Numerical Problem; 3.3 The Eigenvalue Problem; 3.4 The Numerical Eigenvalue Problems; 3.5 Proofs of Results; Chapter 4 The 2nth-Order Problem; 4.0 Introduction; 4.1 The Signature Theory of Lopez; 4.2 Approximation Theory; 4.3 Comparison Results; 4.4 Higher-Order Numerical Problems and Splines; Chapter 5 Elliptic Partial Differential Equations; 5.0 Introduction; 5.1 Summary; 5.2 The Numerical Problem; 5.3 Separation of Variables; Chapter 6 The Quadratic Control Problem; 6.0 Introduction; 6.1 Focal-Interval Theory of Quadratic Forms. | |
| 505 | 8 | |a 6.2 Focal Arcs of Differential Equations6.3 Two Examples; 6.4 An Approximation Theory of Focal Intervals; Postscript The Numerical Problem Revisited; 1. The x(t)x'(t) Term; 2. Cheap Boundary- Value Methods; 3. Systems; 4. Nonlinear Problems; References; 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;methods for low-rank. | ||
| 650 | 0 | |a Forms, Quadratic. | |
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 6 | |a Formes quadratiques. |0 (CaQQLa)201-0066002 | |
| 650 | 6 | |a �Equations aux d�eriv�ees partielles. |0 (CaQQLa)201-0012495 | |
| 650 | 6 | |a Calcul des variations. |0 (CaQQLa)201-0001183 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Calculus of variations |2 fast |0 (OCoLC)fst00844140 | |
| 650 | 7 | |a Differential equations, Partial |2 fast |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Forms, Quadratic |2 fast |0 (OCoLC)fst00932985 | |
| 650 | 7 | |a Differentialgleichung |2 gnd |0 (DE-588)4012249-9 | |
| 650 | 7 | |a Partielle Differentialgleichung |2 gnd |0 (DE-588)4044779-0 | |
| 650 | 7 | |a Quadratische Form |2 gnd |0 (DE-588)4128297-8 | |
| 650 | 7 | |a Equacoes Diferenciais Ordinarias. |2 larpcal | |
| 653 | 0 | |a Calculus of variations | |
| 653 | 0 | |a Differential equations, Partial | |
| 653 | 0 | |a Forms, Quadratic | |
| 776 | 0 | 8 | |i Print version: |a Gregory, John, 1938 March 2- |t Quadratic form theory and differential equations. |d New York : Academic Press, 1980 |z 9780123014504 |w (DLC) 80000520 |w (OCoLC)6555664 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 152. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123014504 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/152 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=152 |z Texto completo |