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A First Course in Complex Analysis

A First Course in Complex Analysis

Paperback

Series: Synthesis Lectures on Mathematics & Statistics

General MathematicsProbability & Statistics

ISBN10: 3031791711
ISBN13: 9783031791710
Publisher: Springer Nature
Published: Apr 19 2022
Pages: 217
Weight: 0.92
Height: 0.51 Width: 7.50 Depth: 9.25
Language: English
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.

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General Mathematics