A First Course in Complex Analysis

Allan R. Willms

ISBN 10: 3031791711 / ISBN 13: 9783031791710

Editore: Springer International Publishing, Springer Nature Switzerland Apr 2022, 2022

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Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 240 pp. Englisch.

Codice articolo 9783031791710

Dati bibliografici

• Titolo: A First Course in Complex Analysis
• Editore: Springer International Publishing, Springer Nature Switzerland Apr 2022
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 3031791711
• ISBN 13: 9783031791710
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 191 A x 14 P (millimetri) 235 millimetri di larghezza per 191 millimetri di altezza per 14 millimetri di profondità
• Peso: 456 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.