Handbook of Complex VariablesSpringer Science & Business Media, 1999 M10 14 - 290 páginas This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. It is not a book of mathematical theory. It is instead a book of mathematical practice. All the basic ideas of complex analysis, as well as many typical applica tions, are treated. Since we are not developing theory and proofs, we have not been obliged to conform to a strict logical ordering of topics. Instead, topics have been organized for ease of reference, so that cognate topics appear in one place. Required background for reading the text is minimal: a good ground ing in (real variable) calculus will suffice. However, the reader who gets maximum utility from the book will be that reader who has had a course in complex analysis at some time in his life. This book is a handy com pendium of all basic facts about complex variable theory. But it is not a textbook, and a person would be hard put to endeavor to learn the subject by reading this book. |
Contenido
III | 1 |
IV | 2 |
VI | 3 |
VII | 6 |
VIII | 7 |
X | 8 |
XIII | 10 |
XIV | 11 |
CLX | 103 |
CLXIV | 104 |
CLXVI | 105 |
CLXIX | 106 |
CLXXII | 107 |
CLXXIII | 108 |
CLXXVI | 109 |
CLXXVII | 110 |
XV | 12 |
XIX | 13 |
XXI | 14 |
XXII | 15 |
XXIII | 16 |
XXIV | 17 |
XXV | 19 |
XXVI | 21 |
XXVIII | 22 |
XXX | 23 |
XXXI | 24 |
XXXIV | 25 |
XXXV | 26 |
XXXVII | 28 |
XXXIX | 31 |
XL | 32 |
XLI | 33 |
XLII | 34 |
XLIII | 35 |
XLIV | 36 |
XLV | 37 |
XLVI | 38 |
XLVII | 41 |
XLVIII | 42 |
L | 43 |
LIV | 44 |
LVI | 45 |
LIX | 46 |
LXII | 48 |
LXVI | 49 |
LXVIII | 50 |
LXX | 51 |
LXXII | 52 |
LXXIII | 54 |
LXXIV | 56 |
LXXV | 58 |
LXXVI | 60 |
LXXVII | 62 |
LXXVIII | 63 |
LXXXII | 64 |
LXXXIV | 66 |
LXXXVI | 67 |
LXXXIX | 69 |
XC | 70 |
XCII | 71 |
XCIII | 72 |
XCV | 73 |
XCVII | 74 |
C | 75 |
CI | 76 |
CIII | 77 |
CVI | 78 |
CVIII | 79 |
CIX | 80 |
CX | 81 |
CXIII | 83 |
CXV | 84 |
CXVI | 85 |
CXX | 86 |
CXXI | 87 |
CXXV | 88 |
CXXVI | 89 |
CXXX | 90 |
CXXXII | 91 |
CXXXIII | 92 |
CXXXVII | 93 |
CXXXIX | 94 |
CXLI | 95 |
CXLV | 96 |
CXLVII | 97 |
CLI | 98 |
CLIII | 99 |
CLV | 100 |
CLIX | 101 |
CLXXXI | 111 |
CLXXXIII | 112 |
CLXXXVI | 113 |
CLXXXIX | 114 |
CXCIII | 117 |
CXCIV | 118 |
CXCVII | 119 |
CCII | 120 |
CCIII | 121 |
CCVII | 122 |
CCVIII | 123 |
CCIX | 128 |
CCXII | 129 |
CCXIII | 130 |
CCXVI | 131 |
CCXVIII | 132 |
CCXX | 133 |
CCXXI | 134 |
CCXXIV | 135 |
CCXXVII | 137 |
CCXXIX | 138 |
CCXXX | 139 |
CCXXXI | 140 |
CCXXXII | 143 |
CCXXXV | 144 |
CCXXXVII | 146 |
CCXXXVIII | 147 |
CCXXXIX | 149 |
CCXL | 150 |
CCXLIII | 151 |
CCXLIV | 152 |
CCXLVI | 153 |
CCL | 154 |
CCLI | 155 |
CCLIII | 156 |
CCLVIII | 157 |
CCLXII | 158 |
CCLXVIII | 159 |
CCLXX | 160 |
CCLXXIII | 161 |
CCLXXVII | 162 |
CCLXXX | 163 |
CCLXXXI | 164 |
CCLXXXII | 168 |
CCLXXXIII | 169 |
CCLXXXIV | 170 |
CCLXXXV | 172 |
CCLXXXVI | 175 |
CCLXXXVIII | 179 |
CCLXXXIX | 181 |
CCXC | 186 |
CCXCII | 186 |
CCXCIII | 186 |
CCXCIV | 186 |
CCXCV | 186 |
CCXCVI | 187 |
CCXCVII | 188 |
CCXCIX | 189 |
CCC | 196 |
CCCI | 198 |
CCCIII | 199 |
CCCIV | 200 |
CCCVI | 201 |
CCCVII | 205 |
CCCIX | 207 |
CCCX | 213 |
CCCXI | 215 |
CCCXII | 217 |
CCCXIV | 255 |
CCCXV | 259 |
CCCXVI | 261 |
CCCXVII | 265 |
CCCXVIII | 269 |
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Términos y frases comunes
analytic continuation Blaschke boundary calculation Cauchy integral circular level curves closed curve compact sets compact subsets Complex Analysis complex derivative complex number complex plane Complex Variable conformal mapping conformal self-map connected open set constant continuous function converges uniformly defined definition denote Dirichlet problem disc D(P,r entire function essential singularity example f be holomorphic FIGURE finite Fourier series Fourier transform function element function f functions Let ƒ is holomorphic Gamma Function half plane harmonic function holomorphic function homotopic infinite product Laurent series Let f Let ƒ Let UCC linear fractional transformation maximum principle meromorphic function modulus multiplicities one-to-one open set pole polynomial power series real axis real number region removable singularity residues result Riemann surface root sequence theorem Let theory U₁ uniformly on compact unit disc upper half upper half-plane zeros of ƒ zeta function მყ
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