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Mañas Baena, Manuel (2023) Apuntes de Variable Compleja. [Teaching Resource] (Unpublished)
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Abstract
Apuntes de clase de análisis en una variable compleja para físicos. Se estudian funciones holomorfas, integrales complejas, series complejas, y la teoría de los residuos. Los elementos clave son las ecuaciones de Cauchy-Rieman, el teorema de Cauchy, la formula integral de Cauchy, y el teorema de los residuos.
También, se incluye información histórica.
Resumen (otros idiomas)
Lecture notes on analysis in a complex variable for physicists. Holomorphic functions, complex integrals, complex series, and the theory of residues are studied. The key elements are the Cauchy-Rieman equations, Cauchy's theorem, Cauchy's integral formula, and the remainder theorem. Historical information is included as well.
| Item Type: | Teaching Resource |
|---|---|
| Uncontrolled Keywords: | Variable compleja; Funciones homomorfas; Teorema de Cauchy; Fórmula integral de Cauchy; Residuos |
| Palabras clave (otros idiomas): | Complex analysis; Holomorphic function; Cauchy theorem; Cauchy integral formula; Residues |
| Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics Sciences > Mathematics > Mathematical analysis Sciences > Mathematics > Functions |
| ID Code: | 76676 |
| Deposited On: | 15 Feb 2023 16:57 |
| Last Modified: | 15 Feb 2023 17:07 |
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