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.
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
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.
Inhaltsangabe
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
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
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