Advanced Engineering Mathematics with MATLAB, Second EditionCRC Press, 28 mars 2003 - 840 pages Resoundingly popular in its first edition, Dean Duffy's Advanced Engineering Mathematics has been updated, expanded, and now more than ever provides the solid mathematics background required throughout the engineering disciplines. Melding the author's expertise as a practitioner and his years of teaching engineering mathematics, this text stands clearly apart from the many others available. Relevant, insightful examples follow nearly every concept introduced and demonstrate its practical application. This edition includes two new chapters on differential equations, another on Hilbert transforms, and many new examples, problems, and projects that help build problem-solving skills. Most importantly, the book now incorporates the use of MATLAB throughout the presentation to reinforce the concepts presented. MATLAB code is included so readers can take an analytic result, fully explore it graphically, and gain valuable experience with this industry-standard software. |
Table des matières
Chapter 1 Complex Variables | 1 |
Chapter 2 FirstOrder Ordinary Differential Equations | 70 |
Chapter 3 HigherOrder Ordinary Differential Equations | 125 |
Chapter 4 Fourier Series | 200 |
Chapter 5 The Fourier Transform | 268 |
Chapter 6 The Laplace Transform | 333 |
Chapter 7 The ZTransform | 423 |
Chapter 8 The Hilbert Transform | 473 |
Chapter 10 The Wave Equation | 569 |
Chapter 11 The Heat Equation | 645 |
Chapter 12 Laplaces Equation | 754 |
Chapter 13 Vector Calculus | 823 |
Chapter 14 Linear Algebra | 879 |
Answers To the OddNumbered Problems | 929 |
| 953 | |
Chapter 9 The SturmLiouville Problem | 501 |
Autres éditions - Tout afficher
Advanced Engineering Mathematics with MATLAB, Second Edition Dean G. Duffy Aucun aperçu disponible - 2003 |
Advanced Engineering Mathematics with MATLAB, Second Edition Dean G. Duffy Aucun aperçu disponible - 2003 |
Expressions et termes fréquents
amplitude analytic apply assume becomes begin boundary conditions called Chapter circuit closed coefficients complex compute Consequently Consider constant continuous contour convolution corresponding defined definition denotes depends derivative determine difference direction eigenfunction eigenvalues electrical elements equals evaluate Example expansion express field Figure Finally finite flow fluid forcing formula Fourier series Fourier transform frequency function given gives hand harmonic heat Hilbert transform homogeneous illustrate important infinite initial condition integral interval introduce inverse Laplace transform linear MATLAB matrix method motion multiplying Note obtain ordinary differential equations oscillator particular solution period phase plane plot poles positive problem properties residue response roots satisfies script separation simple singularities solution solve Step Substituting surface technique temperature theorem unit variables various vector verify wave equation yields z-transform zero