Nonlinear ordinary differential equations :: an introduction for scientists and engineers /
Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing ove...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford ; New York :
Oxford University Press,
2007.
|
| Ausgabe: | 4th ed. |
| Schriftenreihe: | Oxford applied and engineering mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions. - ;This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text. |
| Beschreibung: | Previous edition: 1999. |
| Beschreibung: | 1 online resource (viii, 531 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780191525995 0191525995 |
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| 505 | 0 | |a Preface to the fourth edition; 1 Second-order differential equations in the phase plane; 2 Plane autonomous systems and linearization; 3 Geometrical aspects of plane autonomous systems; 4 Periodic solutions; averaging methods; 5 Perturbation methods; 6 Singular perturbation methods; 7 Forced oscillations: harmonic and subharmonic response, stability, and entrainment; 8 Stability; 9 Stability by solution perturbation: Mathieu's equation; 10 Liapunov methods for determining stability of the zero solution; 11 The existence of periodic solutions; 12 Bifurcations and manifolds | |
| 505 | 8 | |a 13 Poincaré sequences, homoclinic bifurcation, and chaosAnswers to the exercises; Appendices; References and further reading; Index; | |
| 520 | |a Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions. - ;This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text. | ||
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| contents | Preface to the fourth edition; 1 Second-order differential equations in the phase plane; 2 Plane autonomous systems and linearization; 3 Geometrical aspects of plane autonomous systems; 4 Periodic solutions; averaging methods; 5 Perturbation methods; 6 Singular perturbation methods; 7 Forced oscillations: harmonic and subharmonic response, stability, and entrainment; 8 Stability; 9 Stability by solution perturbation: Mathieu's equation; 10 Liapunov methods for determining stability of the zero solution; 11 The existence of periodic solutions; 12 Bifurcations and manifolds 13 Poincaré sequences, homoclinic bifurcation, and chaosAnswers to the exercises; Appendices; References and further reading; Index; |
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| indexdate | 2024-11-27T13:16:13Z |
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| spelling | Jordan, D. W. (Dominic William) Nonlinear ordinary differential equations : an introduction for scientists and engineers / D.W. Jordan and P. Smith. 4th ed. Oxford ; New York : Oxford University Press, 2007. 1 online resource (viii, 531 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Oxford applied and engineering mathematics Previous edition: 1999. Includes bibliographical references and index. Print version record. Preface to the fourth edition; 1 Second-order differential equations in the phase plane; 2 Plane autonomous systems and linearization; 3 Geometrical aspects of plane autonomous systems; 4 Periodic solutions; averaging methods; 5 Perturbation methods; 6 Singular perturbation methods; 7 Forced oscillations: harmonic and subharmonic response, stability, and entrainment; 8 Stability; 9 Stability by solution perturbation: Mathieu's equation; 10 Liapunov methods for determining stability of the zero solution; 11 The existence of periodic solutions; 12 Bifurcations and manifolds 13 Poincaré sequences, homoclinic bifurcation, and chaosAnswers to the exercises; Appendices; References and further reading; Index; Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions. - ;This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text. English. Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Équations différentielles non linéaires. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations, Nonlinear fast Smith, Peter, 1935- Print version: Jordan, D.W. (Dominic William). Nonlinear ordinary differential equations. 4th ed. Oxford ; New York : Oxford University Press, 2007 9780199208241 0199208247 (OCoLC)137312934 Oxford applied and engineering mathematics. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=213874 Volltext |
| spellingShingle | Jordan, D. W. (Dominic William) Nonlinear ordinary differential equations : an introduction for scientists and engineers / Oxford applied and engineering mathematics. Preface to the fourth edition; 1 Second-order differential equations in the phase plane; 2 Plane autonomous systems and linearization; 3 Geometrical aspects of plane autonomous systems; 4 Periodic solutions; averaging methods; 5 Perturbation methods; 6 Singular perturbation methods; 7 Forced oscillations: harmonic and subharmonic response, stability, and entrainment; 8 Stability; 9 Stability by solution perturbation: Mathieu's equation; 10 Liapunov methods for determining stability of the zero solution; 11 The existence of periodic solutions; 12 Bifurcations and manifolds 13 Poincaré sequences, homoclinic bifurcation, and chaosAnswers to the exercises; Appendices; References and further reading; Index; Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Équations différentielles non linéaires. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations, Nonlinear fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037906 |
| title | Nonlinear ordinary differential equations : an introduction for scientists and engineers / |
| title_auth | Nonlinear ordinary differential equations : an introduction for scientists and engineers / |
| title_exact_search | Nonlinear ordinary differential equations : an introduction for scientists and engineers / |
| title_full | Nonlinear ordinary differential equations : an introduction for scientists and engineers / D.W. Jordan and P. Smith. |
| title_fullStr | Nonlinear ordinary differential equations : an introduction for scientists and engineers / D.W. Jordan and P. Smith. |
| title_full_unstemmed | Nonlinear ordinary differential equations : an introduction for scientists and engineers / D.W. Jordan and P. Smith. |
| title_short | Nonlinear ordinary differential equations : |
| title_sort | nonlinear ordinary differential equations an introduction for scientists and engineers |
| title_sub | an introduction for scientists and engineers / |
| topic | Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Équations différentielles non linéaires. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations, Nonlinear fast |
| topic_facet | Differential equations, Nonlinear. Équations différentielles non linéaires. MATHEMATICS Differential Equations Ordinary. Differential equations, Nonlinear |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=213874 |
| work_keys_str_mv | AT jordandw nonlinearordinarydifferentialequationsanintroductionforscientistsandengineers AT smithpeter nonlinearordinarydifferentialequationsanintroductionforscientistsandengineers |