## Advanced Engineering Mathematics with MATLAB, Second EditionResoundingly 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. |

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### Contents

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 9 The SturmLiouville Problem | 501 |

### Other editions - View all

Advanced Engineering Mathematics with MATLAB, Second Edition Dean G. Duffy No preview available - 2003 |

Advanced Engineering Mathematics with MATLAB, Second Edition Dean G. Duffy No preview available - 2003 |

### Common terms and phrases

amplitude analytic assume Bessel function boundary conditions circuit closed contour complex number compute Consider contour integral convergence corresponding cosine delta function denotes derivative eigenfunction eigenvalues eigenvectors equals zero evaluate Example expansion Figure find the inverse finite fluid formula Fourier coefficients Fourier series Fourier transform frequency function f(t given Green’s harmonic heat equation Hilbert transform homogeneous illustrate initial condition u(x interval introduce Laplace transform Laplace’s equation Legendre Let us find Let us solve line integral linear MATLAB script clear matrix method nth root numerical solution obtain ordinary differential equations orthogonality oscillator parameters partial differential equation particular solution phase plane plot polynomials positive radius rewrite right side satisfies second-order Section separation constant separation of variables shifting theorem sine singularities solve the heat step function Sturm-Liouville problem Substituting surface technique temperature transfer function vector field velocity verify vibrations wave equation yields z-transform