Theodore W. Gamelin: Complex Analysis

Cover: 9780387950693 | Complex Analysis | Theodore W. Gamelin | Taschenbuch | xviii | 2001

Rückseite: 9780387950693 | Complex Analysis | Theodore W. Gamelin | Taschenbuch | xviii | 2001

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Sprache: Englisch

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Beschreibung

The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters.

Über den Autor

Zusammenfassung

Inhaltsverzeichnis

First Part.- I The Complex Plane and Elementary Functions.- II Analytic Functions.- III Line Integrals and Harmonic Functions.- IV Complex Integration and Analyticity.- V Power Series.- VI Laurent Series and Isolated Singularities.- VII The Residue Calculus.- Second Part.- VIII The Logarithmic Integral.- IX The Schwarz Lemma and Hyperbolic Geometry.- X Harmonic Functions and the Reflection Principle.- XI Conformal Mapping.- Third Part.- XII Compact Families of Meromorphic Functions.- XIII Approximation Theorems.- XIV Some Special Functions.- XV The Dirichlet Problem.- XVI Riemann Surfaces.- Hints and Solutions for Selected Exercises.- References.- List of Symbols.

Details

Erscheinungsjahr:	2001
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xviii 480 S.
ISBN-13:	9780387950693
ISBN-10:	0387950699
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Gamelin, Theodore W.
Hersteller:	Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 27 mm
Von/Mit:	Theodore W. Gamelin
Erscheinungsdatum:	18.05.2001
Gewicht:	0,75 kg