A First Course in Complex Analysis

Willms, Allan R.

  • 出版商: Morgan & Claypool
  • 出版日期: 2022-04-20
  • 售價: $2,840
  • 貴賓價: 9.5$2,698
  • 語言: 英文
  • 頁數: 237
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1636393144
  • ISBN-13: 9781636393148
  • 海外代購書籍(需單獨結帳)

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This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.