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| Behnke H., Bachmann F., Fladt K. — Fundamentals of Mathematics, Volume I: Foundations of Mathematics: The Real Number System and Algebra |
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| Предметный указатель |
Torsion group 200
Torsion numbers 203
Torsion-free 200
Totality of natural numbers 72
Totally ordered 522 533
Trace 286
Transcendent(s) 296
Transcendent(s), independent 304
Transcendental number 401
Transfinite 55
Transfinite induction 57
Transfinite, inductive definition 57
Transformation(s): addition of 247
Transformation(s): invertible 249
Transformation(s): linear 246
Transformation(s): linear, ring of 249
Transformation(s): matrix of a 250
Transformation(s): multiplication of 248
Transformation(s): orthogonal 273rank of a 247
transforms 183
Transitive 63 108
Transitive Law 53
Transitive representation 222
Transitivity 29 100
Transitivity, domain of 221
Translations 205
Transposition(s) 226
Transposition(s), even 227
Transverse reflections 205
Treillis 483
triangle 92
Triangle, Pascal 296
Triples, Pythagorean 398
Trisection of an angle 417
Trivial divisors 357
Trivial subgroup 184
TRUE 10 23
Truth-value 107 109
Truth: table (logical matrix) 12
Turing 36
Two-place predicate 16
Two-place property 21
Two-sided division 180
Two-sided ideals 357
Two-valuedness, principle of 10 21
Type: order 56
Type: problems for groups 191
Type: structure 516
Uncountable 55 151
Unimodular 399n
Union of fields 436
Union of groups 436
Union(s) 52 62 483 486
Union(s), first and second axioms for 60
Unique factorization rings 331
Uniqueness theorem for smallest splitting fields 415
Unit element 66 116 167 179 321 490
Unit ideal 338
Unit matrix 273
Unit vector 285
Unit(s) 327 356
Unitary 273
Unity element 321
Unity function 388
Unity, exponent of a 445
Unity, primitive 437
Unity, root of 425
UNIVERSAL class 59
Universal quantifier 17 18
Universal relation 62
Universal set 52 57
Universal set, antinomy of 57
Upper bound 486 523
Upper bound, least and proper 68 486 523
| Upper neighbor 523
Valid statements 516
Valuation 310n 405
Value of a polynomial 300
Value theorem, intermediate 462
Value, absolute 128 310n 458
Value, equality of 122
Value, truth- 107 109
Variable(s) 11
Variable(s), bound 17 23 60
Variable(s), flagged 43
Variable(s), free 17
Variable(s), free renaming of a 44n18
Variable(s), predicate 11 22
Variable(s), predicate, generalized 72
Variable(s), proper 34
Variable(s), propositional 15
Variable(s), subject 11
Vector product 266
Vector space 233 238 526n
Vector space, dual 234
Vector subspace 243 526rr
Vector unit 285
Vector(s) 233
Vector(s), basis 234
Vector(s), contravariant 264
Vector(s), covariant 264
Vector(s), multiplication of 267
Vector, part 475
Vel 13
Verband 483
Verknupfung 510
Vicious circle principle (Russell's) 535
Vinogradov 405
Void relation 62
von Neumann 51 58
Waring, problem 406
Well-ordered sets 153 155 532
Well-ordering(s) 64 101
Well-ordering(s), axiom 164
Well-ordering(s), partial 64
Well-ordering(s), theorem 56 525
Weston, J.D. 530
Whitehead, A.N., and Russell 42
Wilson, theorem of 384
Word(s) 6 230
Word(s), empty 231
Word(s), problem 35 232
Zermelo axiom of choice 164
Zermelo, E. 51 535
Zero element 179 490
Zero ideal 338
Zero sequence 140
Zero(s) 111
Zero(s) of a function 293
Zero(s) of a polynomial 302
Zero(s), aleph- 55
Zero(s), divisors of 119 293 322
Zero(s), manifold of, of an ideal 354
Zero(s), multiple 303
Zero(s), multiplicity of a 302 426
Zero(s), nilpotent divisor of 342
Zorn, lemma of 164 522
Zorn, lemma of, sharpened form of 525
“And” 12 67 483
“Either-or” 13
“for all” 12 96
“If and only if” 14
“If-then” 14
“Imaginary” element 448
“not” 12 13
“Or” 12 13 67 483
“Protologic” 79
“Rectangular array” 250
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