Biblioteca Univ. Surcolombiana

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Complex analysis / Theodore W. Gamelin.

By: Gamelin, Theodore W [autor].
Series: Undergraduate texts in mathematics: Los Angeles : Springer, 2001Description: 480 páginas : with 184 ilustrations ; 24 cm.Content type: texto Media type: no mediado Carrier type: volumenISBN: 0387950699.Subject(s): Mathematical Analysis | Análisis matemático | Functions of Complex Variables | Funciones de variables complejasDDC classification: 515 /
Contents:
The complex Plane and Elementary Functions -- Analytic Funtions -- Line Integrals and Harmonic Funtions -- Complex integration and Analyticity -- Power Series -- Laurent Series and Isolated Singularities -- The residues calculus -- The logarithmic integral -- The Schwarz lemma and hyperbolic geometry -- Harmonic funtions and the reflection Principle -- Conformal mapping -- Compact Families of Meromorphic Funtions -- Approximation Theorems -- Some Special Funtions -- The Dirichlet Problem -- Riemann Surfaces
Summary: The book consists of three parts. The first part constitutes the basic core of a course in complex analysis for junior and senior undergraduates. The Second Part includes varius more specialized topics as the argument principle, the Schwarz lemma and hyperbolic geometry, the Poisson integral, and the Riemann mapping theorem. The third part consists of a selection of topics designed to complete the coverage of all background necessary for passing Ph. D- qualifying exams in complex analysis.
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Item type Current location Collection Call number Copy number Status Notes Date due Barcode Item holds
Libros Libros Biblioteca Central
Book Cart 		General 515 / G192c (Browse shelf) Ej. 1 Available 900000025668
Libros Libros Biblioteca Central
General 515 / G192c (Browse shelf) Ej. 2 Available CO 900000026756
Libros Libros Biblioteca Central
General 515 / G192c (Browse shelf) Ej. 3 Available CO 900000026757
Total holds: 0
Browsing Biblioteca Central Shelves , Collection code: General Close shelf browser
515 / F72r Real analysis 515 / F964c Cálculo avanzado / 515 / G192c Complex analysis / 515 / G192c Complex analysis / 515 / G192c Complex analysis / 515 / G215a Análisis numérico / 515 / G347c Cálculo con infinitesimales /

Includes bibliographical references and index.

The complex Plane and Elementary Functions -- Analytic Funtions -- Line Integrals and Harmonic Funtions -- Complex integration and Analyticity -- Power Series -- Laurent Series and Isolated Singularities -- The residues calculus -- The logarithmic integral -- The Schwarz lemma and hyperbolic geometry -- Harmonic funtions and the reflection Principle -- Conformal mapping -- Compact Families of Meromorphic Funtions -- Approximation Theorems -- Some Special Funtions -- The Dirichlet Problem -- Riemann Surfaces

The book consists of three parts. The first part constitutes the basic core of a course in complex analysis for junior and senior undergraduates. The Second Part includes varius more specialized topics as the argument principle, the Schwarz lemma and hyperbolic geometry, the Poisson integral, and the Riemann mapping theorem. The third part consists of a selection of topics designed to complete the coverage of all background necessary for passing Ph. D- qualifying exams in complex analysis.

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