Misc II Flashcards
(66 cards)
1
Q
topology on X
A
61
3 properties
2
Q
neighborhood of x
A
62
3
Q
closed set
A
63
4
Q
Hausdorff space
A
64
5
Q
examples of topology
A
65
6
Q
finer/coarser, topologies
A
66
7
Q
subspace topology
A
67
8
Q
interior of A
A
68
9
Q
exterior of A
A
69
10
Q
boundary of A
A
70
11
Q
limit point of A
A
71
12
Q
derived set of A
A
72
13
Q
closure of A
A
73
14
Q
basis of a topology
A
74
2 criteria
15
Q
product topology on XxY
A
75
16
Q
(dis)connected
A
76
17
Q
how to identify connected spaces
A
77
3 of em
18
Q
open covering
A
78
19
Q
compact
A
79
20
Q
Heine-Borel theorem
A
80
21
Q
continuity in general
A
81
22
Q
results for continuous maps
A
82
4 of em
23
Q
open map
A
83
24
Q
homeomorphic
A
84
25
supremum/infimum
85
26
Cauchy sequence
86
27
complete space
87
28
Lebesgue measure
88
29
Lebesgue measurable sets
89
| 3 of em
30
Lebesgue measurable function
90
31
step function
91
32
Lebesgue integral
92
33
completeness of L^p
93
34
complex numbers
94
35
complex conjugate
95
36
modulus of z
96
37
argument of z
97
38
Euler's formula
98
39
deMoivre's formula
99
40
nth roots of unity
100
41
nth roots of w
101
42
complex logarithm
102
43
complex powers
103
44
constant in complex
104
45
trigonometric functions, complex
105
46
hyperbolic cosine/sine
106
47
properties of sinh, cosh
107
| 8 of em
48
complex function differentiable at z0
108
49
Cauchy-Riemann equations
109
50
Laplace's equation
110
51
analytic
111
52
complex line integral
112
53
Cauchy's Theorem
113
54
Morera's Theorem
114
55
Cauchy's Integral Formulas
115
56
Cauchy's Derivative Estimates
116
57
Liouville's Theorem
117
58
The Maximum Principle
118
59
radius of convergence
119
60
punctured open disk
120
61
singularity
121
62
pole of order n
122
63
Laurent series
123
64
residue
124
65
iterative method
125
66
bisection method
126
