## Advanced engineering mathematics with Mathematica and MatlabThis book is designed for a junior- or senior-level course. It contains a numerical analysis package and a symbolic manipulator to aid in the application of the basic tools of mathematics to the formulation and solution of problems in fluid dynamics, solid mechanics, electromagnetism, and other fields. Mathematica and MATLAB are used throughout the text in examples and projects. The standard Table of Contents and familiar level of difficulty are augmented by Mathematica and MATLAB, which are used the way practicing engineers use them. |

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### Contents

Laplaces EquationSteadyStates Flows | 9 |

Integral Theorems of Vector Calculus | 11 |

Fourier Series and Partial Differential Equations | 14 |

Copyright | |

8 other sections not shown

### Common terms and phrases

algebraic algorithm apply approaches inﬁnity approximate solution augmented matrix boundary value problem chapter characteristic equation coefficients command compute Consider the differential constant Cos[t deﬁned deﬁnition denoted derivatives determine differential equation differential operator domain Draw the graph DSolve eigenvalues eigenvectors Euler’s evaluate exact solution ﬁeld Figure ﬁle fimction ﬁnd ﬁnding ﬁrst ﬁrst-order ﬂow ﬂuid forcing term formula function f Gaussian elimination homogeneous initial conditions initial data initial value problem input internal function interval linear transformation linearly independent linearly independent solutions M-ﬁle Mathematica and MATLAB Mathematica or MATLAB mathematical matrix method multiplication nonlinear obtain output parameters particular solution Plot the graph power series program in Mathematica radius result right-hand side roots satisﬁes scalar second-order Show Sin[t sint solution curve solve speciﬁed symbolic syntax system of differential tank Taylor polynomial Taylor series theorem TLAB unique solution variable vector space velocity verify wronskian zero