Advanced Engineering Mathematics with MATLAB, Third Edition

Couverture
CRC Press, 26 oct. 2010 - 1106 pages

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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Autres éditions - Tout afficher

Advanced Engineering Mathematics with MATLAB
Dean G. Duffy
Aperçu limité - 2010

Expressions et termes fréquents

a²u amplitude boundary conditions closed contour complex compute Consider constant convolution cos(t cos(x denotes density derivative eigenfunction eigenvalues eigenvectors element equa evaluate Example expansion Figure finite Fourier coefficients Fourier series Fourier transform frequency Green's function harmonic heat equation Hilbert transform homogeneous illustrate infinite initial condition u(x interval inverse Laplace transform Laplace's equation Let us find line integral linear MATLAB matrix method obtain ordinary differential equations partial differential equation particular solution plot polynomials probability random variable residue satisfies Section separation of variables side of Equation sin(t sin(x sin² singularities solution to Equation solve Sturm-Liouville problem Substituting Equation surface temperature theorem tion vector velocity wave equation yields z-transform ди пп მე მყ

À propos de l'auteur (2010)

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.

Informations bibliographiques

TitreAdvanced Engineering Mathematics with MATLAB, Third Edition
Advances in Applied Mathematics
AuteurDean G. Duffy
Édition3, révisée
ÉditeurCRC Press, 2010
ISBN1439816247, 9781439816240
Longueur1106 pages
  
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