Topics in Complex Analysis

Begins with an introduction to the theory of functions of a complex variable, covers complex numbers and their properties, analytic functions and the Cauchy–Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral th...

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Bibliographische Detailangaben
1. Verfasser: Romik, Dan
Format: Online
Sprache:Englisch
Veröffentlicht: De Gruyter 2023
Schlagworte:
Online-Zugang:ONIX_20231020_9783110796810_55
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Beschreibung
Zusammenfassung:Begins with an introduction to the theory of functions of a complex variable, covers complex numbers and their properties, analytic functions and the Cauchy–Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem, the residue theorem, and definite integrals. Definitions and proofs are discussed as are applications to physics and engineering.