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Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf

Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf download

Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf free download. The book developed from courses on nonlinear differential equations given over many years in the Mathematics Department of Keele University. It presents an introduction to dynamical systems in the context of ordinary differential equations, and is intended for students of mathematics, engineering and the sciences, and workers in these areas who are mainly interested in the more direct applications of the subject.

Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf download

The level is about that of final-year undergraduate, or master’s degree courses in the UK. It has been found that selected material from Chapters 1to5, and 8, 10, and 11 can be covered in a one-semester course by students having a background of techniques in differential equations and linear algebra. The book is designed to accommodate courses of varying emphasis, the chapters forming fairly self-contained groups from which a coherent selection can be made without using significant parts of the argument.

Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf download

From the large number of citations in research papers it appears that although it is mainly intended to be a textbook it is often used as a source of methods for a wide spectrum of applications in the scientific and engineering literature. We hope that research workers in many disciplines will find the new edition equally helpful.

Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf download

General solutions of nonlinear differential equations are rarely obtainable, thoughparticular solutions can be calculated one at a time by standard numerical techniques. However, this book deals with qualitative methods that reveal the novel phenomena arising from nonlinear equations, and produce good numerical estimates of parameters connected with such general features as stability, periodicity and chaotic behaviour without the need to solve the equations.

Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf download

We illustrate there liability of such methods by graphical or numerical comparison with numerical solutions. For this purpose the Mathematica™software was used to calculate particular exact solutions; this was also of great assistance in the construction of perturbation series, trigonometric identities, and for other algebraic manipulation. However, experience with such software is not necessary for the reader.

Nonlinear Ordinary Differential Equations by P W Jordan and P Smith fourth edition pdf download

Nonlinear Ordinary Differential Equations by P. W. Jordan and P. Smith fourth edition pdf download


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