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Polya G., Latta G. — Complex Variables
Polya G., Latta G. — Complex Variables



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Название: Complex Variables

Авторы: Polya G., Latta G.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1974

Количество страниц: 328

Добавлена в каталог: 10.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$n^{th}$ roots of a complex number      50
Absolute convergence      63
Absolute value      4
Analytic continuation      231
Analytic continuation, along a curve      233
Analytic continuation, reflection principle      240
Analytic functions      75 97
Analytic functions at infinity      138 205
Analytic functions, derivative of      75
Analytic functions, singularities of      202
Arcs      134
Argument (phase)      4
Argument principle      226
Asymptotic series      291
Bernoulli's equation      266
Bessel function      68
beta function      239
Bilinear transformation      120
Binomial series      107
Branch cut      165
Branch cut, principal      220
Branch point      48
Branch point, integration around      220
Cauchy inequalities      186
Cauchy integral formula      177
Cauchy integral formula, theorem      146
Cauchy principal value      182 222
Cauchy — Riemann conditions      80
Cauchy — Riemann conditions in polar coordinates      84
Circle of convergence      63
Circulation of a fluid      282
Closed curve      146
Complex number(s)      5
Complex number(s), conjugate      15
Complex number(s), imaginary part      4
Complex number(s), plane      3
Complex number(s), polar form      42
Complex number(s), real part      4
Complex number(s), roots of      50
Complex potential      267
Conformal mapping      87
conjugate      15
Connected domain      169
Continuity      100
Contour integral      146
Convergence      63
Critical point      129
Cross ratio      125
Curl      91
Curve(s) orientation      134 168
Curve(s), closed      169
Curve(s), simple      161
de Moivre's formula      11
Degenerate polygons      255
Derivative, of Cauchy integral      185
Dipole      270
Divergence      91 155
domains      54
Domains, multiply connected      158
Domains, simply connected      158 168
Entire functions      187
Essential singularity      203
Essential singularity, behavior near      220
Essential singularity, residue at      210
Euler's formula      39
Exponential function      36
Exponential function, inverse of      46
Exponential function, mapping by      129
Fixed point      126
Fluid flow, about cylinder      280
Fluid flow, in channels      275
Flux      143
Fourier series      202
Free boundaries      282
Functions, analytic      75
Functions, beta      239
Functions, entire      187
Functions, gamma      235
Functions, inverse      46
Functions, limits of      20
Functions, multiple valued      54 140
Fundamental theorem of algebra      188
Gamma function      235
Gauss' theorem on zeros of polynomials      70
Geometric series      21
Green's identity      175
Harmonic functions      96
Hodograph plane      285
Hydrodynamics      265
Hyperbolic functions      69
identities      43
Image      85
Imaginary axis      4
Imaginary axis, part      4
Indefinite integral      162
Independence of path      159
Integrals, contour      146
Integrals, line      147
Integrals, principal value      182
Inverse point      127
Inversion of series      227
Irrotational flow      90
Irrotational flow, vector field      93
Isolated point      206
Isolated point, singular point      206
Jensen's theorem      229
Joukowski airfoil      139
Lagrange's formula      22
Laplace's equation      95
Laplace's equation, asymptotic formula      302
Laurent series      195
Level curves      57
Limits      20
Line integral      147
Linear fractional transformation      120
Liouville's theorem      187
Logarithm      46
Logarithm, inverse of      46
Logarithm, mapping by      131
Logarithm, principal branch of      47
Machin's formula      24
Maclaurin's series      188
Magnification      105
Majorant      262
Mapping, conformal      87
Mapping, Mercator      131
Mapping, Ptolemy (stereographic)      113
Mapping, Schwarz — Christoffel      250
Mapping, univalent      110
Maximum modulus theorem      187
Meromorphic function      99
Natural boundary      235
One to one function      110
Order of zeros      205
Order, of poles      203
Phase (argument)      4
Point at infinity      114
Poisson's integral formula      219 24:
Poles      203
Poles order      205
Polynomial      36
Power series      63
Power series, algebra of      192
Power series, convergence of      63
Power series, differentiation of      78 101
Power series, integration of      192
Powers      49
Principal part of Laurent expansion      203
Punctured plane      55
Quaternions      29—33
Real axis      4
Real axis, part      4
Reflection principle      240
Removable singularity      203
Residue theorem      206
Residues      204
Residues, computation of      208
Riemann mapping theorem      243
Rouche's theorem      227
Saddlepoint method      314
Schwarz — Christoffel formula      250
Schwarz' inequality      205 220
Series inversion      227
Singular points      202
Sink      270
Source      91 270
Stagnation point      274
Stereographic mapping      113
Stream function      267
Stream function, streamlines      267
Taylor's series      188
Triangle inequality      7 25
Trigonometric functions      38
Trigonometric functions, identities      40 43
Trigonometric functions, inverse      52
Univalent      110 244
Vector(s)      2 6
Vector(s) fields      88
Vectorial operations      17
Velocity potential      267
Vena contracta      288
Weierstrass      220
Work      143
Zeros, order      205
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