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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 and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). 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.
This text investigates the mathematical principles and analytical techniques required to solve nonlinear ordinary differential equations in scientific and engineering contexts. Authors Dominic Jordan and Peter Smith provide a comprehensive framework for understanding nonlinear dynamics, utilizing a blend of theoretical exposition and practical application. The text is structured to support students and professionals by minimizing mathematical prerequisites while maximizing the utility of the methods presented.
What You Will Find
Scope Limits
Experts and educators recognize this work as a standard, foundational resource for students in engineering and the physical sciences. Readers frequently note the clarity of the diagrams and the pedagogical value of the extensive problem sets included in this edition.
Page Count:
560
Publication Date:
2007-01-01
Publisher:
OUP Oxford
ISBN-10:
0191525995
ISBN-13:
9780191525995
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