A First Course in Complex Analysis (Synthesis Lectures on Mathematics and Statistics) (Paperback)

A First Course in Complex Analysis (Synthesis Lectures on Mathematics and Statistics) By Allan R. Willms Cover Image
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Description


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.



Product Details
ISBN: 9781636393148
ISBN-10: 1636393144
Publisher: Morgan & Claypool
Publication Date: April 20th, 2022
Pages: 237
Language: English
Series: Synthesis Lectures on Mathematics and Statistics