Complex Analysis for Mathematics & Engineering (6版)

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書名：Complex Analysis for Mathematics and Engineering 6/e 作者：Mathews 出版社：Jones & Bartlett 出版日期：2012/00/00 ISBN：9781449604455 內容簡介 New material on the origin of complex numbers New exercises help students work through and understand key concepts The essential details of residues and conformal mappings are included A chapter on z-transforms illustrates the area of digital signal filtering Applications include steady state temperatures, fluid flow, and electrostatics Fourier series are used to solve the Dirichlet problem in the unit disk Solutions to the odd-numbered problems are included as an appendix Additional exercises using Maple and Mathematica are available online 目錄 Chapter 1 Complex Numbers Chapter 2 Complex Functions Chapter 3 Analytic and Harmonic Functions Chapter 4 Sequences, Julia and Mandelbrot Sets, and Power Series Chapter 5 Elementary Functions Chapter 6 Complex Integration Chapter 7 Taylor and Laurent Series Chapter 8 Residue Theory Chapter 9 z-Transforms and Applications Chapter 10 Conformal Mapping Chapter 11 Applications of Harmonic Functions Chapter 12 Fourier Series and the Laplace Transform