Buch, Englisch, 594 Seiten, Print PDF, Format (B × H): 172 mm x 246 mm, Gewicht: 1028 g
A Sourcebook for Scientists and Engineers
Buch, Englisch, 594 Seiten, Print PDF, Format (B × H): 172 mm x 246 mm, Gewicht: 1028 g
ISBN: 978-0-19-921203-3
Verlag: Oxford University Press
An ideal companion to the new 4th Edition of 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 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.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematik Allgemein
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Naturwissenschaften Physik Quantenphysik
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
Weitere Infos & Material
- 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, entrainment
- 8: Stability
- 9: Stability by solution perturbation: Mathieu's equation
- 10: Liapunov methods for determining stability of the zero equation
- 11: The existence of periodic solutions
- 12: Bifurcations and manifolds
- 13: Poincaré sequences, homoclinic bifurcation, and chaos
