Misc II Flashcards
topology on X
61
3 properties
neighborhood of x
62
closed set
63
Hausdorff space
64
examples of topology
65
finer/coarser, topologies
66
subspace topology
67
interior of A
68
exterior of A
69
boundary of A
70
limit point of A
71
derived set of A
72
closure of A
73
basis of a topology
74
2 criteria
product topology on XxY
75
(dis)connected
76
how to identify connected spaces
77
3 of em
open covering
78
compact
79
Heine-Borel theorem
80
continuity in general
81
results for continuous maps
82
4 of em
open map
83
homeomorphic
84
supremum/infimum
85
Cauchy sequence
86
complete space
87
Lebesgue measure
88
Lebesgue measurable sets
89
3 of em
Lebesgue measurable function
90
step function
91
Lebesgue integral
92
completeness of L^p
93
complex numbers
94
complex conjugate
95
modulus of z
96
argument of z
97
Euler’s formula
98
deMoivre’s formula
99
nth roots of unity
100
nth roots of w
101
complex logarithm
102
complex powers
103
constant in complex
104
trigonometric functions, complex
105
hyperbolic cosine/sine
106
properties of sinh, cosh
107
8 of em
complex function differentiable at z0
108
Cauchy-Riemann equations
109
Laplace’s equation
110
analytic
111
complex line integral
112
Cauchy’s Theorem
113
Morera’s Theorem
114
Cauchy’s Integral Formulas
115
Cauchy’s Derivative Estimates
116
Liouville’s Theorem
117
The Maximum Principle
118
radius of convergence
119
punctured open disk
120
singularity
121
pole of order n
122
Laurent series
123
residue
124
iterative method
125
bisection method
126
