Symmetry analysis of differential equations [[electronic resource] ] : an introduction / / Daniel J. Arrigo
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| Autore: |
Arrigo Daniel J (Daniel Joseph), <1960->
|
| Titolo: |
Symmetry analysis of differential equations [[electronic resource] ] : an introduction / / Daniel J. Arrigo
|
| Pubblicazione: | Hoboken, N.J., : Wiley, 2015 |
| Descrizione fisica: | 1 online resource (xiii, 176 p.) : ill |
| Disciplina: | 515.353 |
| Soggetto topico: | Lie groups |
| Lie groups - Study and teaching (Higher) | |
| Lie groups - Study and teaching (Graduate) | |
| Differential equations, Partial | |
| Soggetto genere / forma: | Electronic books. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 1 An Introduction -- 2 Ordinary Differential Equations -- 3 Partial Differential Equations -- 4 Nonclassical Symmetries and Compatibility -- Solutions -- References -- Index. |
| Sommario/riassunto: | A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs. Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems. Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features: Detailed, step-by-step examples to guide readers through the methods of symmetry analysis; End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods. Symmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations. |
| Titolo autorizzato: | Symmetry analysis of differential equations |
| ISBN: | 1-118-72165-9 |
| 1-118-72157-8 | |
| 1-118-72144-6 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910460330103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |