Index
1-1 correspondence , 7
abbreviations, 6
absolute convergence , 9 3
accumulation point , 20 , 130
Al-Sabah, Nasser , vii i
alternating series , 9 1
Armstrong, Zan , 5 0
Ascoli's Theorem , 137, 139
ball B(a,r), 2 9
Benjamin, Art , vii i
Bernoulli, Daniel , 109, 113
Bhattarai, Saroj , 139
bijective, 7
Bohnhorst, Kristin , 4 5
Bolzano-Weierstrass, 40 , 43 , 47, 50 , 134
boundary, 29 , 130
bounded, 17, 40 , 43 , 70 , 129
Burckel, Bob , vii i
Burger, Ed , vii i
C[0,1], 126, 129, 131, 132, 134, 137, 139
calculus, 6 3
Cantor function , 6 7
Cantor set , 57 , 8 5
Cantor, Georg , 13
Cartesian product , 12
Cauchy sequence , 22 , 41, 50, 70 , 129,
138
characteristic functio n x , 24 , 8 5
circle, 2 9
closed sets , 30 , 31, 130
closed sets , union s an d intersections , 3 2
closure, 32 , 130
compact, 43 , 47, 133
comparison test , 9 0
complement, 3 , 6 , 2 9
complete, 129
composition o f functions , 3 7
conditional convergence , 9 3
connected, 5 3
Constantin, Alexandra , 149
contains, 6
continuous, 2 3
continuous functions , 3 5
contrapositive, 5
converge, 16, 89 , 97 , 129
converge absolutely , 93 , 9 7
converge conditionally , 9 3
converge pointwise , 7 9
converge uniformly , 79 , 129
converse, 6
Corvetti, Candice , 4 8
Costa, Tom , vii i
countable, 11
countable subcover , 4 4
countable union , 12
Davis, Diana , vii i
dense, 3 4
derivative, 6 5
difference, 6
differentiable, 6 5
differentiation o f powe r series , 9 9
dimension, 5 9
disc, 2 9
T53
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