A First Course in Complex Analysis
Allan R. Willms(Author)
Springer (Publisher)
Published on 19. April 2022
Book
Hardback
217 pages
978-3-031-79181-9 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Target group
Professional and scholarly
Illustrations
XIX, 217 p.
Dimensions
Height: 235 mm
Width: 155 mm
ISBN-13
978-3-031-79181-9 (9783031791819)
DOI
10.1007/978-3-031-79176-5
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
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Additional editions

Allan R. Willms
A First Course in Complex Analysis
E-Book
06/2022
Springer
€69.54
Available for download

Allan R. Willms
A First Course in Complex Analysis
Book
04/2022
1st Edition
Springer
€69.54
Shipment within 15-20 days
Person
Allan R. Willms is a professor in the Department of Mathematics & Statistics at the University of Guelph in Canada. He earned a B.Math. (1992) and an M.Math. (1993) from the University of Waterloo in Canada and received a Ph.D. (1997) from Cornell University in Ithaca, NY, USA. He spent five years as a faculty member in the Department of Mathematics & Statistics at the University of Canterbury in Christchurch, New Zealand, after which he moved to Guelph in 2003. He is a generalist applied mathematician and says of himself "I know a little about a lot of things but not much about anything." His research has included neuronal ion channels, antibiotic resistance, Cheyne-Stokes respiration, resonant Hopf bifurcations, Huygens' clocks, climate change, cat bladder measurements, parameter range reduction for ODE models, fish population dynamics, E. coli contamination in beef processing plants, epidemiology, robot path planning, cytokine storms, and pathogen survival in manure.
Content
Preface.- Acknowledgments.- Basics of Complex Numbers.- Functions of a Complex Variable.- Differentiation.- Contour Integration.- Cauchy Theory.- Series.- Residues.- Conformal Mapping.- Author's Biography.- Index.