Now with a full-color design, the new Fourth Edition of Zill's Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. New modern applications and engaging projects makes Zill's classic text a must-have text and resource for Engineering Math students! |

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### Contents

Part 2 Vectors Matrices and Vector Calculus | 295 |

Part 3 Systems of Differential Equations | 549 |

Part 4 Partial Differential Equations | 625 |

Part 5 Complex Analysis | 761 |

Appendices | 885 |

Answers for Selected OddNumbered Problems | 898 |

I-1 | |

I-24 | |

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### Common terms and phrases

analytic Answers to selected approximate autonomous system boundary conditions boundary-value problem circle coefficients complex number compute conformal mapping constant contour converges coordinates corresponding critical point defined Definition determine Dirichlet problem dx dt dy dx dy/dx eigenvalues eigenvectors Euler’s method evaluate Example Exercises Answers formula Fourier series function f Gauss–Jordan elimination homogeneous initial conditions initial-value problem interval inverse Laplace transform Laurent series line integral linear system linearly independent mass multiple n n matrix nonhomogeneous nonlinear nonzero obtain odd-numbered problems begin orthogonal parameter parametric equations particular solution plane autonomous system polynomial power series radius real number region result Runge–Kutta method satisfies scalar Section selected odd-numbered problems shown in FIGURE sinh solution curve Suppose surface tangent temperature Theorem tion upper half-plane variables vector field vector space velocity verify x-axis xy-plane zero