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Thron W. — Introduction to the theory of functions of a complex variable
Thron W. — Introduction to the theory of functions of a complex variable

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Название: Introduction to the theory of functions of a complex variable

Автор: Thron W.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1953

Количество страниц: 235

Добавлена в каталог: 09.12.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$I^{b}_{a}$      56
$K_{a}(r)$      43
$L(z_{1}, z_{2})$      64
$log_{m, k} z$      174
$L_{\infty}(z_{1}, z_{2})$      81
$M_{k}$      12
$n(\prod_{n})$      91
$n_{x}$      30
$N_{x}(r)$      40
$N_{x}^{D}$      30
$P(z_{0},...,z_{n})$      64
$\mathcal{K}$      191
$\mathfrak{T}(\xi)$      25
$\pi$      96
$\Pi_{n}$      91
Abel’s theorem      130
Absolute convergence      117
Absolute topological property      35
Absolute value      23
Addition      8 22
Aleph      137
Aleph nought      19
Alexander’s lemma      74
Algebra, fundamental theorem of      100
Algebraic branch point      225
Algebraic structure      6
Analytic configuration      159
Analytic continuation      156
Analytic function      159
angle      185
Archimedes, principle of      13
Arcwise connccted set      65
arg z      146
Argument of a complex number      146
Associative operation      5
Attractive fixed point      199
Automorphic function      216
B.V.      60
BD      32
Bicontinous mapping      38
Binary operation      5
Binomial theorem      128 152
Bolzano — Weierstrass theorem      44
Boundary      32
Boundary point      32
Bounded sequence      42
Bounded set      40
Bounded variation      60
Branch of an analytic function      160
Branch point      225
c-boundary      70
c-sequence of partitions      92
Cantor — Bernstein theorem      19
cardinal number      3
Casorati — Weierstrass theorem      164
Cauchy inequalities      109
Cauchy integral formulas      106
Cauchy sequence      42
Cauchy — Goursat theorem      101
Cauchy — Hadamard theorem      123
Cauchy — Riemann conditions      183
cell      69
Center      43
circle      43
Circle of convergence      124
Circular region      43
Closed curve      67
Closed region      65
Closed set      30
Closure of a set      30
Commutative operation      5
Compact set      33
Complement      4
Complete ordered field      7
Complete space      42
COMPLEX      70
Complex conjugate      23
Complex number      22
Component of a set      34
Conformal mapping      186
Connected set      33
Continuous function      37
Contour integration      176
Convergent sequence      36
cos z      145
cosec z      149
cot z      149
Covering of a set      47
Cross ratio      194
Curve      64
CYCLE      71
Darboux’ theorem      179
Deleted neighborhood      30
Denumerable set      19
Dependent variable      2
Derivative      53
Diagonal sequence      142
Diameter of a set      40
Differentiable function      53
Directed curve      85
Distance      40
Distance, between sets      40
Distributive operation      5
Divergent sequence      36
Division      8 22
DM      40
Domain of definition      2
Domain of Existence      159
Domain of values      2
Double sequence      120
e      146
E(J)      78
Edge of a cell      69
Element of a sequence      36
Element of a set      1
Element of an analytic function      159
Elliptic modular function      213
Elliptic transformation      197
Embedding of a set      35
End point of a curve      64
End point of a directed curve      86
Entire function      169
Equality      1
Equivalence class      4
Equivalence relation      3
Equivalent functions      85
Equivalent neighborhood systems      35
Essential singular point      162
Everywhere dense set      34
Extended plane      166
Exterior of a simple closed curve      78
Farey series      211
Field      7
Finite cardinal number      18
First axiom of countability      36
Fixed curve      197
Fixed family of curves      197
Fixed point      196
Function      2
Functional element      159
Fundamental theorem of algebra      109
g.l.b.      13
General topological space      6
Geometric series      118
Grating      69
Greatest lower bound      13
Group      7
Half plane      82
Harmonic function      184
Hausdorff space      30
Heine — Borel theorem      47
Holomorphic function      106
Homeomorphism      6
Homologous cycles      72
Hurwitz theorem      180
Hyperbolic transformation      198
i      23
I(J)      78
Identity element      7
Imaginary number      25
Imaginary part of a number      25
In r      150
Independence of the path      108
Independent variable      2
Indifferent fixed point      199
Induction      11
Infinite cardinal number      19
Infinite series      117
Infinitesimal      13
Initial point of a directed curve      86
Inscribed polygon      65
INTEGER      11
integral      92
Interior of a set      32
Interior of a simple closed curve      78
Interior point      32
Interpolation      130
Intersection      4
interval      56
Invariant property      38
Inverse element      7
Inverse function      153
Inversely equivalent functions      85
inversion      191
Isogonal mapping      185
Isolated point      32
Isomorphism      6
Jordan curve theorem      61
Jordan's Theorem      76
k-cell      69
k-complex      70
l. u. b.      7
Landau      15
Laurent series expansion      135
Laurent’s theorem      133
Least upper bound      7
Leibniz' test      117
Length of a directed curve      86
Lim      37
lim inf      62
lim sup      62
Limit inferior      62
Limit of a function      37
Limit point of a sequence      36
Limit point of a set      30
Limit superior      62
Line segment      64
Linear fractional transformation      190
Liouville’s theorem      109
Locally compact set      33
Log z      150
Logarithmic branch point      225
Logarithmic residue      177
Lower bound      13
Loxodromic transformation      198
M      11
Maximum Modulus Principle      110
Meromorphic function      169
Mertens theorem      120
Method of summation      132
Metric function      40
Metric space      40
Midpoint of a line segment      101
MODULO      2
Modulo, addition of complexes      70
Modulus      (see Absolute value)
Monodromy theorem      161
Montel's theorem      218
Morera’s theorem      109
Multiplication      8 22 107
Natural boundary      163
Natural number      11
Negative number      8
Negative variation      60
Negatively directed circle      90
Negatively directed curve      104
Neighborhood      30
Norm of a partition      91
Normal family of functions      142
Nowhere dense set      34
Null set      3
Object      1
One      8
One-to-one correspondence      2
Open region      65
Open set      30
Ordered field      7
Ordered pair      2
Orientable surface      221
Orthogonal curves      188
Oscillation of a function      52
Painlevd’s theorem      209
Parabolic transformation      198
Partial derivative      59
Partition of a curve      91
Peano axioms      11
Picard’s theorems      216
Plane of complex numbers      43
Poincare — Volterra theorem      160
Point      30
Point at infinity      166
Pole      162
Polygonal line      64
Polynomial      169
Positive nth root      15
Positive number      8
Positive variation      60
Positively directed circle      90
Positively directed curve      104
Power      152
Power series      123
Primitive of a function      108
principal argument      148
Principal part of a Laurent series      170
Principal value of an ath power      152
Principle of Archimedes      13
Principle of the argument      177
PRODUCT      26
Proper subset      3
Q(a, d)      44
RADIUS      43
Radius of convergence      124
Ratio Test      118
Rational function      169
Rational number      12
Real number      7
Real part of a number      25
Rearrangement of a power series      129
Rectangular region      67
Rectifiable curve      86
Refinement of a grating      72
Refinement of a partition      90
Reflection      191
Reflexive property      3
Region      65
Regular function (Holomorphic)      106
Relative topological property      35
Repulsive fixed point      199
Residue      175
Riemann configuration      223
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