Functions of a Complex Variable: With Applications |
Contents
PREFACE p vii | 1 |
CONFORMAL REPRESENTATION p | 32 |
SOME SPECIAL TRANSFORMATIONS p | 57 |
8 other sections not shown
Common terms and phrases
angle annulus Argand diagram b₁ boundary bounded C₁ C₂ cardioid Cauchy-Riemann equations Cauchy's theorem circle of centre closed contour complex numbers confocal conformal transformation consider const contour integral cosec cosh curve defined denotes domain ellipse essential singularity finite number follows function f(z Hence infinite integral round interior point inverse lemma limit point many-valued function maps Möbius mx dx neighbourhood one-one one-valued P₁ P₂ parabola plane point at infinity pole of order polygon positive real axis power series prove radius rational function real numbers real variable region regular arc regular function residue of f(z Riemann surface roots S₂ semicircle Show simple poles singularity of f(z small circle strip Taylor's theorem tends to zero u+iv unit circle upper half upper half-plane values w-plane w₁ write x+iy z-plane corresponds πα Σπί ди дх