Dominic Jordan (University of Keele), Peter Smith (University of Keele)
Nonlinear Ordinary Differential Equations
Dominic Jordan (University of Keele), Peter Smith (University of Keele)
Nonlinear Ordinary Differential Equations
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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.
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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.
Produktdetails
- Produktdetails
- Oxford Texts in Applied and Engineering Mathematics
- Verlag: Oxford University Press
- 4 Revised edition
- Seitenzahl: 540
- Erscheinungstermin: 23. August 2007
- Englisch
- Abmessung: 260mm x 183mm x 33mm
- Gewicht: 924g
- ISBN-13: 9780199208258
- ISBN-10: 0199208255
- Artikelnr.: 22922544
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
- Oxford Texts in Applied and Engineering Mathematics
- Verlag: Oxford University Press
- 4 Revised edition
- Seitenzahl: 540
- Erscheinungstermin: 23. August 2007
- Englisch
- Abmessung: 260mm x 183mm x 33mm
- Gewicht: 924g
- ISBN-13: 9780199208258
- ISBN-10: 0199208255
- Artikelnr.: 22922544
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
Prior to his retirement, Dominic Jordan was a professor in the Mathematics Department at Keele University. His research interests include applications of applied mathematics to elasticity, asymptotic theory, wave and diffusion problems, as well as research on the development of applied mathematics in its close association with late 19th century engineering technologies. Peter Smith is a professor in the Mathematics Department of Keele University. He has taught courses in mathematical methods, applied analysis, dynamics, stochastic processes, and nonlinear differential equations, and his research interests include fluid dynamics and applied analysis.
Preface
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: Liapurnov methods for determining stability of the zero solution
11: The existence of periodic solutions
12: Bifurcations and manifolds
13: Poincaré sequences, homoclinic bifurcation, and chaos
Answers to the exercises
Appendices
A: Existence and uniqueness theorems
B: Topographic systems
C: Norms for vectors and matrices
D: A contour integral
E: Useful identities
References and further reading
Index
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: Liapurnov methods for determining stability of the zero solution
11: The existence of periodic solutions
12: Bifurcations and manifolds
13: Poincaré sequences, homoclinic bifurcation, and chaos
Answers to the exercises
Appendices
A: Existence and uniqueness theorems
B: Topographic systems
C: Norms for vectors and matrices
D: A contour integral
E: Useful identities
References and further reading
Index
Preface
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: Liapurnov methods for determining stability of the zero solution
11: The existence of periodic solutions
12: Bifurcations and manifolds
13: Poincaré sequences, homoclinic bifurcation, and chaos
Answers to the exercises
Appendices
A: Existence and uniqueness theorems
B: Topographic systems
C: Norms for vectors and matrices
D: A contour integral
E: Useful identities
References and further reading
Index
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: Liapurnov methods for determining stability of the zero solution
11: The existence of periodic solutions
12: Bifurcations and manifolds
13: Poincaré sequences, homoclinic bifurcation, and chaos
Answers to the exercises
Appendices
A: Existence and uniqueness theorems
B: Topographic systems
C: Norms for vectors and matrices
D: A contour integral
E: Useful identities
References and further reading
Index







