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| Daepp U., Gorkin P. — Reading, writing and proving. Close look at mathematics |
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| Предметный указатель |
Sequence, Cauchy 250
Sequence, convergent 237
Sequence, convergent in a metric space 287
Sequence, decreasing 227
Sequence, divergent 238
Sequence, eventually constant 290
Sequence, greatest lower bound 226
Sequence, increasing 227
Sequence, infimum 226
Sequence, least upper bound 227
Sequence, limit 287
Sequence, lower bound 225
Sequence, monotone 250
Sequence, recursively defined 229
Sequence, strictly decreasing 227
Sequence, strictly increasing 227
Sequence, subsequence 250
Sequence, supremum 227
Sequence, term 224
Sequence, upper bound 225
Set 39 63
Set difference 69
Set, bounded 130 292
Set, closure 312
Set, complement 69
Set, convex 367
Set, countable 271
Set, countably infinite 271
Set, difference 69
Set, empty 68
Set, equality 67
Set, greatest lower bound 133
Set, inclusion 79—82
Set, interior 311
Set, interior point 311
Set, intersection 69
Set, least upper bound 131
Set, limit point 311
Set, lower bound 130 133
Set, notation 39 64
Set, supremum 131
Set, uncountable 271
Set, union 69
Set, upper bound 130
Set, useful relations 83
Shamir, A. 338 371
Smale, S. 376
Smilla's Sense of Snow 252
| Statement 17—26
Statement form 18 22
Strictly decreasing sequence 227
Strictly increasing sequence 227
Subsequence 250
Subset 65
Subset, proper subset 65
Successor 351
Sum of sequence 228
Summation notation 211
Supremum 131
Supremum, sequence 227
Supremum, uniqueness 132
Surjective 163
symmetric 109
Tautology 22 31—34
Taxicab metric 286
Term 224
Ternary expansion 364
Thomson, W. 200
topology 283
Total order 143
Transcendental number 368
Transitive 109 142
Triangle inequality 60 284
Triangle inequality,  367
Triangle inequality, metric spaces 284
Triangular numbers 219
Trichotomy principle 380
Truth table 19
Uncountable set 271
union 69 91
Union, family of sets 91
Union, finitely many sets 89
Union, infinitely many sets 90
Universe 39
Upper bound, sequence 225
Upper bound, set 130
Usual metric 284 286
Variables 41
Venn diagram 69 79
Vibrating string problem 157
Weierstrass, K.T.W. 200
Well-ordering principle of N 135 208 221
Weyl, H. 157
Wiles, A. 58
Williamson, M. 338
Wright, E.M. 356
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