# Advanced Engineering Mathematics with MATLAB, Third Edition (Advances in Applied Mathematics)

## Dean G. Duffy

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Taking a practical approach to the subject, Advanced Engineering Mathematics with MATLAB®, Third Edition continues to integrate technology into the conventional topics of engineering mathematics. The author employs MATLAB to reinforce concepts and solve problems that require heavy computation. MATLAB scripts are available for download at www.crcpress.com Along with new examples, problems, and projects, this updated and expanded edition incorporates several significant improvements.

New to the Third Edition

• New chapter on Green’s functions
• New section that uses the matrix exponential to solve systems of differential equations
• More numerical methods for solving differential equations, including Adams–Bashforth and finite element methods
• New chapter on probability that presents basic concepts, such as mean, variance, and probability density functions
• New chapter on random processes that focuses on noise and other random fluctuations

Suitable for a differential equations course or a variety of engineering mathematics courses, the text covers fundamental techniques and concepts as well as Laplace transforms, separation of variable solutions to partial differential equations, the z-transform, the Hilbert transform, vector calculus, and linear algebra. It also highlights many modern applications in engineering to show how these topics are used in practice. A solutions manual is available for qualifying instructors.

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About the Author:

Dean G. Duffy is a former instructor at the US Naval Academy and US Military Academy. From 1980 to 2005, he worked on numerical weather prediction, oceanic wave modeling, and dynamical meteorology at NASA’s Goddard Space Flight Center. Prior to this, he was a numerical weather prediction officer in the US Air Force from September 1975 to December 1979. He earned his Ph.D. in meteorology from MIT. Dr. Duffy has written several books on transform methods, engineering mathematics, Green’s functions, and mixed boundary value problems.

Review:

This third edition includes new examples, problems, projects, and, more significantly, new and improved coverage of Green’s functions and matrix exponential, numerical methods for solving differential equations, and probability and random processes. ... The text accommodates two general tracks: the differential equations course, and the engineering mathematics course. Duffy’s career included 25 years with NASA at the Goddard Space Flight Center (until 2005), and he taught for many years at the US Naval Academy and the US Military Academy.
SciTech Book News, February 2011

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