Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics)

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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.

Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics) Review

Jordan and Smith have done an excellent job in describing and providing techniques to solve non-linear differential equations. Non-linear ordinary differential equations are stiff and can be solved numerically, but numerical solutions do not provide physical parametric insight. Consequently, it is often necessary to find a closed analytical solution. When faced with this challenge in my personal research, I looked around for books that would help me solve the non-linear forced differential equation that science had presented to me. Even in a good research university library, I could not find any that beat Jordan and Smith's work. I did find summary presentations in the specialized literature of physics, but those works referenced Jordan and Smith for futher details. Together, Jordan and Smith's textbook and sourcbook provide a wealth of practical information for solving non-linear equations along with lots of good examples. I feel fortunate that I found their work and have successfully solved my equations following their advice. Their work even helped me to visualize and interpret my results. I heartily recommend the two books to anyone faced with the need to solve nonlinear ordinary differential equations using techniques (for example, averaging methods, perturbation methods, Fourier expansion methods, liapunov methods, chaos, etc.# that lie beyond those studied in college for solving linear differential equations.Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers #Oxford Texts in Applied and Engineering Mathematics#Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook for Scientists and Engineers #Oxford Texts in Applied & Engineering Mathematics)

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