Complex Analysis in One VariableSpringer Science & Business Media, 21 déc. 2000 - 381 pages The original edition of this book has been out of print for some years. The appear ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes. |
Table des matières
VI | 5 |
VIII | 6 |
IX | 12 |
X | 24 |
XI | 34 |
XII | 38 |
XIII | 45 |
XIV | 55 |
LXV | 261 |
LXVIII | 263 |
LXIX | 264 |
LXX | 267 |
LXXI | 269 |
LXXIII | 271 |
LXXIV | 272 |
LXXV | 277 |
XV | 57 |
XVI | 59 |
XVII | 62 |
XVIII | 65 |
XIX | 71 |
XXI | 75 |
XXII | 81 |
XXIII | 89 |
XXIV | 99 |
XXVII | 101 |
XXVIII | 105 |
XXIX | 113 |
XXX | 117 |
XXXII | 121 |
XXXIII | 123 |
XXXIV | 129 |
XXXV | 141 |
XXXVII | 145 |
XXXVIII | 147 |
XXXIX | 153 |
XLI | 163 |
XLIII | 168 |
XLIV | 169 |
XLV | 173 |
XLVI | 178 |
XLVII | 181 |
XLVIII | 189 |
L | 190 |
LI | 199 |
LII | 211 |
LV | 214 |
LVI | 217 |
LVII | 221 |
LVIII | 229 |
LIX | 239 |
LXI | 246 |
LXII | 255 |
LXIII | 257 |
LXIV | 259 |
LXXVI | 279 |
LXXVII | 280 |
LXXVIII | 281 |
LXXIX | 283 |
LXXXI | 284 |
LXXXII | 286 |
LXXXIII | 287 |
LXXXIV | 289 |
LXXXV | 290 |
LXXXVI | 292 |
LXXXVIII | 293 |
LXXXIX | 295 |
XC | 299 |
XCII | 301 |
XCIV | 302 |
XCV | 305 |
XCVI | 307 |
XCVIII | 309 |
XCIX | 312 |
C | 315 |
CI | 317 |
CIV | 318 |
CVI | 323 |
CVII | 324 |
CVIII | 325 |
CIX | 333 |
CXII | 334 |
CXIII | 337 |
CXIV | 339 |
CXVI | 342 |
CXVII | 344 |
CXVIII | 345 |
CXX | 353 |
CXXIII | 357 |
CXXIV | 363 |
CXXVI | 367 |
CXXVIII | 371 |
375 | |
381 | |
Autres éditions - Tout afficher
Expressions et termes fréquents
algebraic analytic isomorphism bounded Chapter choose closed curve closed rectangle compact set compact subset complex numbers complex variables connected component connected open set Consider constant continuous function converges uniformly convex countable covering map Definition denote Dirichlet problem dx dy equation exists f dz finite fractional linear transformation function f ƒ dz germ H¹(U harmonic function Hence holomorphic functions holomorphic map homeomorphism homotopy integral Lemma Let f let ƒ mapping theorem Math maximum principle meromorphic function neighborhood nonempty open mapping theorem open set open set CC open subset poles polynomial power series Proof properties Proposition Prove r₁ Runge's theorem sequence simply connected subharmonic functions Suppose topological space uniformly on compact unit circle unit disc Verify Weierstrass y₁ Z¹(U zero ди
Fréquemment cités
Page ix - ... pages ? Not the astronomers, certainly." We venture to assure him that he is perfectly correct in this conjecture. WEP A Manual of the Geology of India. Second edition. Revised and largely re-written by RD Oldham, ARSM, (Calcutta: Geological Survey Office. London: Trübner and Co., 1893.) THE first edition of this book has been out of print for some years ; meanwhile, Indian geology has greatly advanced, so that a revised and extended issue, bringing the work in line with the new results of the...
Page xiii - A point a € A is an isolated point of A if it is not a limit point of A.