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Differential Equations

Linear, Nonlinear, Ordinary, Partial

Cambridge University Press

Cambridge University Press
Author: A.C King , J. Billingham +1...
৳250
Edition: international
Stock Availability: Out of stock

Category: Engineering Books BSc in CE : Civil Engineering

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When mathematical modelling is used to describe physical, biological or chemical phenomena, one of the most common results of the modelling process is a system of ordinary or partial differential equations.
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Title Differential Equations
Publisher Cambridge University Press
Edition international
No. Of Pages 554
Country USA
Language English
Description Differential Equations Linear, Nonlinear, Ordinary, Partial When mathematical modelling is used to describe physical, biological or chemical phenomena, one of the most common results of the modelling process is a system of ordinary or partial differential equations. Finding and interpreting the solutions of these differential equations is therefore a central part of applied mathematics, and a thorough understanding of differential equations is essential for any applied mathematician. The aim of this book is to develop the required skills on the part of the reader. The authors focus on the business of constructing solutions analytically and interpreting their meaning, although they do use rigorous analysis where needed. The reader is assumed to have some basic knowledge of linear, constant coefficient ordinary differential equations, real analysis and linear algebra. The book will thus appeal to undergraduates in mathematics, but would also be of use to physicists and engineers. MATLAB is used extensively to illustrate the material. There are many worked examples based on interesting real-world problems. A large selection of exercises is provided, including several lengthier projects, some of which involve the use of MATLAB. The coverage is broad, ranging from basic second-order ODEs including the method of Frobenius, Sturm-Liouville theory, Fourier and Laplace transforms, and existence and uniqueness, through to techniques for nonlinear differential equations including phase plane methods, bifurcation theory and chaos, asymptotic methods, and control theory. This broad coverage, the authors’ clear presentation and the fact that the book has been thoroughly class-tested will increase its appeal to undergraduates at each stage of their studies. - Cambridge University Press

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