Complex Analysis

AvTheodore W. Gamelin

Häftad, Engelska, 2001

Del i serien Undergraduate Texts in Mathematics

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Beskrivning

The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis.

Produktinformation

Utgivningsdatum:2001-05-18
Mått:155 x 235 x 25 mm
Vikt:754 g
Format:Häftad
Språk:Engelska
Serie:Undergraduate Texts in Mathematics
Antal sidor:480
Förlag:Springer-Verlag New York Inc.
ISBN:9780387950693

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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.