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A First Course in Complex Analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A First Course in Complex Analysis/ by Allan R. Willms.
Author:	Willms, Allan R.
Description:	IV, 237 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-79176-5
ISBN:	9783031791765

A First Course in Complex Analysis
Willms, Allan R.

A First Course in Complex Analysis[electronic resource] /by Allan R. Willms. - 1st ed. 2022. - IV, 237 p.online resource. - Synthesis Lectures on Mathematics & Statistics,1938-1751. - Synthesis Lectures on Mathematics & Statistics,.

Preface -- Acknowledgments -- Basics of Complex Numbers -- Functions of a Complex Variable -- Differentiation -- Contour Integration -- Cauchy Theory -- Series -- Residues -- Conformal Mapping -- Author's Biography -- Index.

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.

ISBN: 9783031791765

Standard No.: 10.1007/978-3-031-79176-5doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA1-939

Dewey Class. No.: 510

A First Course in Complex Analysis
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