Complex AnalysisSpringer Science & Business Media, 25 de juny 1999 - 296 pàgines This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. "Complex Analysis" offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. Stressing motivation and technique, and complete with exercise sets, this volume may be used both as a basic text and as a reference. For this second edition, the authors have revised some of the existing material and have provided new exercises and solutions. |
Continguts
II | 1 |
III | 2 |
IV | 4 |
V | 10 |
VI | 15 |
VII | 17 |
VIII | 20 |
XI | 21 |
XLVI | 139 |
XLVII | 146 |
XLVIII | 149 |
LI | 152 |
LII | 156 |
LIII | 157 |
LIV | 163 |
LV | 175 |
XII | 25 |
XIII | 27 |
XIV | 31 |
XV | 34 |
XVIII | 39 |
XIX | 43 |
XX | 50 |
XXI | 54 |
XXII | 56 |
XXV | 62 |
XXVI | 64 |
XXVII | 67 |
XXVIII | 71 |
XXIX | 73 |
XXX | 78 |
XXXI | 80 |
XXXII | 85 |
XXXIII | 90 |
XXXIV | 92 |
XXXV | 99 |
XXXVI | 101 |
XXXVII | 103 |
XXXVIII | 107 |
XXXIX | 113 |
XL | 115 |
XLIII | 121 |
XLIV | 127 |
XLV | 130 |
Altres edicions - Mostra-ho tot
Frases i termes més freqüents
a₁ Algebra analytic function assume bilinear boundary bounded C-analytic C₁ C₂ Cauchy Cauchy-Riemann equations Chapter Closed Curve Theorem coefficients compact complex numbers complex plane conformal mapping consider contained contour Corollary D₁ defined Definition differentiable entire function example Exercise exists f is analytic f is entire f(zo finite follows function f given harmonic function Hence Hint If(z infinitely inside integral isolated singularity Lemma linear Maximum-Modulus Theorem modulus Morera's Theorem neighborhood nonconstant Note open set polygonal polynomial power series Proof Proposition Prove R₁ radius of convergence real axis real numbers rectangle region Residue Theorem right half-plane sequence Show simple pole simply connected simply connected domain sin² solution Suppose ƒ Theorem Suppose throughout uniformly unit circle unit disc upper half-plane z₁ zero