Nonlinear ordinary differential equations :: problems and solutions : a sourc\\ Ebook for scientists and engineers /
An ideal companion to the new 4th Edition of <em/>Nonlinear Ordinary Differential Equations " by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford ; New York :
Oxford University Press,
2007.
|
| Schriftenreihe: | Oxford texts in applied and engineering mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | An ideal companion to the new 4th Edition of <em/>Nonlinear Ordinary Differential Equations " by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in <em/>Nonlinear Ordinary Differential Equations " 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences. |
| Beschreibung: | 1 online resource (vi, 587 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 0191526401 9780191526404 1281160881 9781281160881 9786611160883 6611160884 1435618033 9781435618039 |
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| 245 | 1 | 0 | |a Nonlinear ordinary differential equations : |b problems and solutions : a sourc\\ Ebook for scientists and engineers / |c D.W. Jordan and P. Smith. |
| 260 | |a Oxford ; |a New York : |b Oxford University Press, |c 2007. | ||
| 300 | |a 1 online resource (vi, 587 pages) : |b illustrations | ||
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| 490 | 1 | |a Oxford Texts in Applied and Engineering Mathematics ; |v v.No. 11 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a An ideal companion to the new 4th Edition of <em/>Nonlinear Ordinary Differential Equations " by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in <em/>Nonlinear Ordinary Differential Equations " 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences. | ||
| 505 | 0 | |a 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 Stabilty 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 | |
| 546 | |a English. | ||
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| author | Jordan, D. W. (Dominic William) |
| author2 | Smith, Peter, 1935- |
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| contents | 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 Stabilty 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 |
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With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in <em/>Nonlinear Ordinary Differential Equations " 4th Edition, and in most cases can be adapted for coursework or self-study. 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| genre | Electronic books. Problems and exercises fast |
| genre_facet | Electronic books. Problems and exercises |
| id | ZDB-4-EBA-ocn252690665 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:30Z |
| institution | BVB |
| isbn | 0191526401 9780191526404 1281160881 9781281160881 9786611160883 6611160884 1435618033 9781435618039 |
| language | English |
| lccn | 2008295712 |
| oclc_num | 252690665 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (vi, 587 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Oxford University Press, |
| record_format | marc |
| series | Oxford texts in applied and engineering mathematics. |
| series2 | Oxford Texts in Applied and Engineering Mathematics ; |
| spelling | Jordan, D. W. (Dominic William) https://id.oclc.org/worldcat/entity/E39PCjJJCtxRJMcT8QJbq4D7RC http://id.loc.gov/authorities/names/n85334998 Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / D.W. Jordan and P. Smith. Oxford ; New York : Oxford University Press, 2007. 1 online resource (vi, 587 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Oxford Texts in Applied and Engineering Mathematics ; v.No. 11 Includes bibliographical references. Print version record. An ideal companion to the new 4th Edition of <em/>Nonlinear Ordinary Differential Equations " by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in <em/>Nonlinear Ordinary Differential Equations " 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences. 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 Stabilty 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 English. Differential equations, Nonlinear Problems, exercises, etc. Équations différentielles non linéaires Problèmes et exercices. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations, Nonlinear fast Electronic books. Problems and exercises fast Smith, Peter, 1935- http://id.loc.gov/authorities/names/n77002749 Print version: Jordan, D.W. (Dominic William). Nonlinear ordinary differential equations. Oxford ; New York : Oxford University Press, 2007 (DLC) 2008295712 Oxford texts in applied and engineering mathematics. http://id.loc.gov/authorities/names/n2002012016 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=216023 Volltext |
| spellingShingle | Jordan, D. W. (Dominic William) Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / Oxford texts in applied and engineering mathematics. 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 Stabilty 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 Differential equations, Nonlinear Problems, exercises, etc. Équations différentielles non linéaires Problèmes et exercices. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations, Nonlinear fast |
| title | Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / |
| title_auth | Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / |
| title_exact_search | Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / |
| title_full | Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / D.W. Jordan and P. Smith. |
| title_fullStr | Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / D.W. Jordan and P. Smith. |
| title_full_unstemmed | Nonlinear ordinary differential equations : problems and solutions : a sourc\\ Ebook for scientists and engineers / D.W. Jordan and P. Smith. |
| title_short | Nonlinear ordinary differential equations : |
| title_sort | nonlinear ordinary differential equations problems and solutions a sourc ebook for scientists and engineers |
| title_sub | problems and solutions : a sourc\\ Ebook for scientists and engineers / |
| topic | Differential equations, Nonlinear Problems, exercises, etc. Équations différentielles non linéaires Problèmes et exercices. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations, Nonlinear fast |
| topic_facet | Differential equations, Nonlinear Problems, exercises, etc. Équations différentielles non linéaires Problèmes et exercices. MATHEMATICS Differential Equations Ordinary. Differential equations, Nonlinear Electronic books. Problems and exercises |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=216023 |
| work_keys_str_mv | AT jordandw nonlinearordinarydifferentialequationsproblemsandsolutionsasourcebookforscientistsandengineers AT smithpeter nonlinearordinarydifferentialequationsproblemsandsolutionsasourcebookforscientistsandengineers |