Gleason A. — Fundamentals of Abstract Analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Gleason A. — Fundamentals of Abstract Analysis

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Название: Fundamentals of Abstract Analysis

Автор: Gleason A.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 416

Добавлена в каталог: 18.11.2012

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Предметный указатель

Strictly decreasing      161
Strictly increasing      161
Strictly monotone      161
Strong order relation      70
Strongly order-preserving      73
Structure      55
Subchain      84
Subcovering      266
Subfield      98
Subsequence      182
Subset      5
Subspace of a metric space      224
Successor function      84
Sufficient condition      14
Sum of an infinite series      191
Sum of f over X      201
Sum of sets (old term)      29
Sum, by columns of a double series      208
Sum, by rows of a double series      208
Summable function      201
Superior limit      175
Superlative order words      76
Superset      5
Support      189
Supremum      77
Supremum in $\mathbf{R}$       174
Surjective      42
Symmetric difference of two sets      37 Ex. 8
Symmetric relation      65
Tautologically equivalent formulas and propositions      12
Tautologies      10ff
Tautologies and set identities      31ff
Tautologies, computation of      11
Taylor's series      300
Terms, of a sequence      160
Terms, of an infinite series      191
Ternary operation      94
Ternary relation      50
Theorem      60
Topological properties      224 251
Topological space      250
Topologically equivalent metrics      250

topology      250 252
Total ordering      75
Totally bounded      267
Totally disconnected set      282
Transfinite induction      83
Transformation      41
Transitive relation      65
Triangle law      223
Trichotomy      75
Truth table      11
Two-valued logic      8
Unary operation      84
Uncountable set      143
uniform      245ff
Uniform, continuity      246
Uniform, continuity of a continuous function on a compact space      272
Uniform, convergence      247—248
Uniform, equivalence of metric spaces      265 Ex. 5
Uniqueness, of limits      229
Uniqueness, of power series      299
Unit element      95
Universal quantifier      16
Universal set      34
Unordered finite sums      186ff
Unordered infinite sums      199ff
Upper bound      77
Value of a function      41
Variable, dummy      26ff
Variable, logical      15
Vector space      199
Venn diagrams      32ff
Wallis' product      216 Ex. 2
Weak maximum or minimum point of a function      315
Weak order relation      70
Weakly monotone      161
Weakly order-preserving      73
Weierstrass      302
Well-ordered set      82
Well-ordering theorem      154 155
Whitney      29
Winding number of a closed path      334
Zero element      95

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