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| Hu S.-T. — Introduction to contemporary mathematics |
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| Предметный указатель |
Map, continuous 192
Map, identity 192
Map, open 192
Map, topological 193
Mathematical induction 46
Matrix 154
Member 4
Member, least 32
Metric 133 143 166
Metric geometry 150
Metric property 150
Metric space 166
Module 119
Module, left 125
Module, right 125
Monoid 97
Monoid, permutation 97
Monomorphism 99 124
Multiple 50 60
Multiple, least common 52
Multiplication 47 56 65 78 84 92 110 121
Multiplication mod p 92
Multiplication table 95
Multiplication, Boolean 96
Multiplication, functional 111
Multiplication, inner 128
Multiplication, scalar 119
Multiplication, trivial 111
Multiplication, usual 91
Natural number 45
Natural projection 26 65 77
Necessary condition 2
Negation 1 57 66 79 85 106
Negation function 58 66 79
Negative 54 64 76
Negative, integer 52
Neighborhood 190
Neighborhood system 190
Neighborhood, basic 190
Neutral element 95 105
Noncollinear 136 143
Norm 128 143
Norm function 128
NUMBER 45
Number, algebraic 83
Number, complex 84
Number, imaginary 84 87
Number, irrational 72 80
Number, natural 45
Number, pure imaginary 87
Number, rational 62
Number, real 72
Number, transcendental 83
Number, whole 45
Object 4
One-to-one 18
Onto 16
Open ball 169
Open set 169 189
Operation 90
Operation, binary 90
Order 32 117
Order, finite 117
Order, infinite 116
Order, linear 32
Order, partial 32
Order, usual 32
Order, well 32
Ordered pair 24
Origin 88 127
Orthogonal projection 148
overlapping 11
parallel 136
Partial order 32
Peano postulates 46
Permutation group 104
Permutation monoid 97
Perpendicular 136
Plane 138 143
Plane, complex 85 88
Plane, Euclidean 143
Plane, projective 138 151
Point 4 126 189
Point at infinity 142 164
Point, accumulation 174
Point, boundary 169 192
Point, cluster 174 179
Point, exterior 169 192
Point, frontier 169 192
Point, interior 169 192
Point, limit 174
Polynomial 122
Polynomial algebra 122
Positive 54 64 76
Positive integer 52
Power 25
Power, Cartesian 25
Preserve a relation 33
Prime 51
Prime, relatively 51
Principle of complete induction 46
PRODUCT 47 56 66 78 84 92
Product, cartesian 24
Product, inner 128
Product, scalar 119
Projection 26 65 92 148
Projection, left 92
Projection, natural 26 65
Projection, orthogonal 148
Projection, right 92
Projective geometry 153 164
Projective group 153
Projective line 138
Projective plane 138 151
Projective property 153 164
Projective space 137
Projective transformation 153
Proper homomorphism 101
Proper subset 6
Property, affine 159 161
Property, metric 150
Property, projective 153 164
Property, topological 193
Proposition 1
pure imaginary number 87
Pythagorean Theorem 136
Quantifier 6
Quasi-field 113
Quotient 50 61 68 81 86
Quotient set 31
RANGE 15
Range, harmonic 157
Rational number 62
Rational operation 87
Real axis 85 88
Real number 72
Real part 87
Reciprocal 68 80 86
Reflection 145
Reflexive relation 30
| Regular space 194
Relation 29
Relation, equivalence 30
Relation, reflexive 30
Relation, symmetric 30
Relation, transitive 30
Relatively prime 50
retract 194
Right ideal 115 123
Right inverse 103
Right projection 92
Right unit 94
Rigid motion 151
Ring 110
Ring of scalars 119
Ring with unit 112
Ring, coefficient 119
Ring, division 113
Rotation 144
scalar 119
Scalar multiplication 119
Scalar product 119
Schwarz inequality 130
Second axiom of countability 191
Segment 135
Semigroup 96
SEQUENCE 72 83 176
Sequence of functions 188
Sequence, constant 80
Sequence, fundamental 73 83 181
Sequence, gauchy 73 181
Set 3
Set, closed 172
Set, countable 37
Set, dense 175 181
Set, derived 174
Set, empty 4
Set, finite 34
Set, infinite 34
Set, open 169
Set, quotient 31
Set, vacuous 4
Set-theoretic difference 10
Sfield 113
Side 136
Singleton 5 172
Skew field 113
Space 25 189
Space, complete 181
Space, discrete 189
Space, discrete metric 168
Space, Euclidean 25 126 167
Space, Frechet 194
Space, Hausdorff 193
Space, Hilbert 167
Space, indiscrete 189
Space, metric 166 189
Space, projective 137
Space, regular 194
Space, topological 189
Space, vector 120
Stable 97 122
Statement 1
Straight line 135
Subalgebra 122
Subdomain 114
Subfield 115
Subgroup 106
Submetric function 184
Submodule 122
Submonoid 97
Subring 114
Subsemigroup 97
Subsequence 179
Subset 6
Subset, proper 6
subspace 122 175
Subtraction 91
Subtraction, usual 91
Successor 45
Sufficient condition 2
SUM 47 56 66 78 84 92 126
Surjective function 16
Symmetric relation 30
Term 73 176
Theorem 1
Topological map 193
Topological property 193
Topological space 189
Topologically equivalent 193
Topologized 189
topology 169 189 193
Topology, coarser 190
Topology, discrete 189
Topology, finer 190
Topology, larger 190
Topology, smaller 190
Topology, stronger 190
Topology, trivial 189
Topology, weaker 190
Transcendental number 83
Transformation 144 152 153 159 160
Transformation, affine 159 160
Transformation, isometric 144
Transformation, linear 152
Transformation, projective 153
Transitive relation 30
Translation 108 144
Translation, left 108
triangle 136
Triangle inequality 131 133 166
Uniform continuity 182
Uniform convergence 188
Uniform Lipschitz condition 183
Uniformly continuous 182
Uniformly convergent 188
union 8 25
UNIT 95 97 112
Unit interval 3 6
Unit point 127 135 152
Unit vector 135
Unit, imaginary 87
Unit, left 94
Unit, right 94
Usual addition 90
Usual composition 91
Usual multiplication 91
Usual order 32
Usual subtraction 91
Vacuous set 4
Value 15
Value, absolute 60
Vector 127
Vector space 120
Vector space, standard n-dimensional 120
Vector, unit 135
Vertex 136
Vertex, coordinate 152
Well-ordered 32
Whole numbers 45
Zero 52 54 64 76
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