## Complex Analysis for Mathematics and EngineeringIntended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises, as well as a student study guide are also available online. |

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good examples and explanation

User Review - Flag as inappropriate

on the basis of the first few pages I really felt that this book is written very explicitly which covers all aspects of the Complex Analysis. the book is not only useful to undergraduate students from science and engineering but through its numerous applications is more beneficial for researchers.

My best wishes to the authors to write different books on Mathematics with a such simple, lucid and clear writing style that is appropriate for students on different levels.

Dr. N. H. More

### Contents

1 Complex Numbers | 1 |

2 Complex Functions | 53 |

3 Analytic and Harmonic Functions | 97 |

4 Sequences Julia and Mandelbrot Sets and Power Series | 127 |

5 Elementary Functions | 159 |

6 Complex Integration | 199 |

7 Taylor and Laurent Series | 255 |

8 Residue Theory | 297 |

### Other editions - View all

Complex Analysis for Mathematics and Engineering John H. Mathews,Russell W. Howell Limited preview - 2006 |

Complex Analysis for Mathematics and Engineering, Volume 1 John H. Mathews,Russell W. Howell Limited preview - 2001 |

Complex analysis for mathematics and engineering John H. Mathews,Russell W. Howell Snippet view - 1996 |

### Common terms and phrases

analytic function angle antiderivative Arctan bilinear transformation boundary values Calculate complex analysis complex function complex numbers complex potential compute conformal mapping constant Corollary cosz curve deﬁned deﬁnition denote derivative difference equation differentiable Dirichlet problem Evaluate EXAMPLE EXERCISES FOR SECTION f is analytic f z0 ﬁlter ﬁnd Find the image ﬁrst fluid flow Fourier series function f given harmonic function Hence Hint Identity illustrated in Figure inequality inverse isin Laplace transform Laurent series Let f line segment linear Maclaurin series nth root obtain one-to-one parametrization plane point z0 poles polynomial positively oriented proof properties real number residues result Riemann right half-plane sequence series representation Show that f shown in Figure simply connected domain sin2 singularity sinz Solution Solve square root streamlines Theorem unit circle upper half-plane vector vertical x-axis z-transform