A. I. Markushevich
THE THEORY OF ANALYTIC FUNCTIONS: A BRIEF COURSE
ΑΡΙΘ. 66
Μετάφραση από τα ρωσικά: EUGENE YANKOVSKY
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Σειρά:
Complex Analysis
Mir
422
14 x 22
Σκληρό
1η
1983
Αγγλικά
Contents:
Complex numbers and their geometric interpretation
Functions of a complex variable – The derivative and its geometric and hydromechanical interpretation
Elementary analytic functions and the corresponding conformal mappings
Series with complex terms – Power series
Integrating functions of a complex variable
Cauchy’s integral formula and its implications
The Laurent series – Isolated singular points of single – Valued analytic functions – Entire and meromorphic functions
Residues and their applications – The argument principle – Elliptic functions
Analytic continuation – The Riemann surface – Singular points
Mapping performed by analytic functions – Riemann’s mapping theory – The Schwarz – Christoffel transformation formula: