Del i serien Undergraduate Texts in Mathematics

Complex Analysis

Häftad, Engelska, 2001

AvTheodore W. Gamelin

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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

Utgivningsdatum2001-05-18
Mått155 x 235 x 25 mm
Vikt754 g
FormatHäftad
SpråkEngelska
SerieUndergraduate Texts in Mathematics
Antal sidor480
FörlagSpringer-Verlag New York Inc.
ISBN9780387950693

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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.