Truss J. — Foundations of mathematical analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Truss J. — Foundations of mathematical analysis

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Название: Foundations of mathematical analysis

Автор: Truss J.

Аннотация:

Foundations of Analysis covers a variety of issues that will interest undergraduates and first-year graduate students studying pure mathematics and philosophy. It covers the development of different number systems and how their consideration leads to specific branches of mathematics.

Язык:

Рубрика: Разное/

Статус предметного указателя: Готов указатель без номеров страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 363

Добавлена в каталог: 12.03.2015

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

LCM      56
Leaf      294
Least number principle      26 56
Least upper bound      97
Lebesgue bounded convergence theorem      273
Lebesgue dissection      271
Lebesgue integrable      270
Lebesgue integrel      269
Lebesgue lower integrel      270
Lebesgue measurable      265
Lebesgue measure      262
Lebesgue upper integral      270
Left coset      42 182
Left derivative      155
Left long rational line      116
Left long real line      116
legendre      215
Leibniz's product formula      213
Length      232 262 263
Length of a cycle      184
Length of the recnrring block      74
Level      118
Levy      37 334
Lexicographic      235
Light-face hierarchy      291
LIMIT      72 106 126 136 148 154
Limit ordinal      27
Limiting function      162
Lindemann      217
Lindenbaum algebra      331
Line      7 69
Line segment      57 148 252
Linear      16 24
Linear algebra      79 210
linear combination      82 216
Linear function      209
Linear map      210
Linear ordering      16
Linearly dependent      82 179
Linearly independent      82
Linearly ordered set      23 95
Liouville      212
Liouville number      211
Liouville's theorem      201
local      140
Local compactification      134
Local ring      140
Locally compact      105 109 232 260
Locally homeomorphic      249
Loewenheim — Skolem theorem      112 220 304
Logarithm      162 167 227
Logical connective      12
Logical equi valence      331
Long line      114 115 136
Long rational line      115
Long real line      115
LOS      220
Lower bound      97
Lowest common multiple      56
Lowest terms      89
Luxemburg      332
Magnitude      110 262
Manic polynomial      89 105 196
Many-valued function      175
MAP      3
Mapping      3
Markov's Principle      316
Mathias      332
Matrix ring      51
Maxima      143
Maximal      33 145
Maximal ideal      60 140 174 177 328
maximum distance      124
Maximum norm      124
Meagre      258
Mean proportional      111
Mean value theorem      157
Measurable      152 263 268 269
Measure      148 268 262
Measure theory      232
Measure zero      268
Member      2
Membership relation      113
Metamathematical      21 298
Metric      234 273
Metric space      108 114 121
Metric subspace      129
Metrizable      122 256
Minima      143
Mioimal polynomial      178 189 201
Modal theory      8 30 93 112 301
Model      30 298 329
MODULO      51
Modulus      175
Monomorphism      98
Monotonic sequence      128 135
Morley      220
Mostowski      320
Mostowski — Shepherdson collapsing lemma      301
Multiple      53 110
Multiplication      10
Multiplication of cardinals      34
Multiplicative identity      53
Multiplicative loverse      53 65 138
Multiplicatively closed subset      69
Multiplicity      89 188
NAME      305
Natural homomorphism      182
Natural isomorphism      62 182
Natural number      1 6 29 38
Nearness      105 121
Negative      40 70 96
Neighbourhood      105 107
Nest of balls      259
Nest of intervals      135
Nested intervals      135
Newton      196 228
Newton — Raphson      224
Non-commutative      64
Non-commutative ring      52
Non-measurable set      269 272 275
Non-negative      70
Non-standard model      22 30
Nonal      79
Norm      123
Normal extension      188
Normal subgroup      182
Normal topological space      250
Normalization theorem      313
Notion of forcing      303
Nowhere dense      235 281
Nowhere differentiable      159 261
nth root      105
Null set      277
Number theory      1 137
Numeral      18
Numeralwise expressible      18
Numerator      71
Numerical analysis      224 234
Occurrence      13
Odd degree      105
Odd function      168
Odd permutation      185
One-sided derivative      155
One-way stretch      148
Onto function      3
open      122 233
Open ball      121
Open disc      105
Open interval      107

Open map      144
Open neighbourhood      107
Open set      106
Operation $\mathcal{A}$       293
Oracle      291
Orbit      183
Order of a group      42
Order of an element      43
Order topology      105 107 235
Order-complete      97 136
Order-completion      98
Order-extension principle      332
Order-isomorphism      23 98
Order-isomorphism type      23
Order-reversing      191
Order-type      24
Ordered field      70 101 113 141 172 177
Ordered pair      2
Ordered quadruple      2
Ordered ring      49 50
Ordered subfield      129
Ordered triple      2
Ordering principle      332
Ordinal      22 24 108
Ordinal number      22
Origin      69
Outer approximation      149
Outer Lebesgue measure      265
Outer measure      269
p-Adic completion      137
p-Adic integer      138
p-Adic metric      124 137
p-adic number      137
p-adic valuation      137
PA      16 30
Pairwise incongruent      177
Paradox      5
Part      110
Partial fractions      90 91
Partial operation      16 38
Partial ordering      16
Partial quotient      242
Partially ordered set      32 33 303
Partition      3
Pascal's triangle      91
Patching      104
Peano      1 7
Peano arithmetic      16 29 312
Peano's axioms      7
Pell's equation      223 246
Perfect      276 289
Perimeter      148
Period      168
Periodic      158
Permutation      183
Permutation group      181 183
PID      59
Piecewise linear      159 261
Pincus      332 334
Plane      47 172
Plane figure      148
Plato      111
Point      7 252 262
Polar co-ordinates      150 176
Polar form      176
Polygon      148
Polynomial      71 104 154 157
Polynomial function      88
Polynomial in several variables      88
Polynomial ring      173
positional notation      71
Positive      70 96
Positive prime      58
Possible value      306
Postulate      7
Power      105
Power series      64 162
Power series expansion      163
Power set      2 36 306
Pregeometry      83 219
Presburger      11
Prime      16 53 208
Prime factor      74
Prime factorization      208
Prime ideal      60 328
Prime number      124 137 182
Prime power      187 204
Prime subfield      81 220
Primitive root of unity      193
Principal ideal      59 80 177
Principal ideal domain      58 140
Principal ideal ring      59
probability      234
Probability space      232
Probability theory      262
PRODUCT      292
Product measure      269
Product of sets      143
Product rule      155 213
Product space      232
Product topology      108 143
Projection      143 210 293
Projection of trees      293
Projective geometry      83
Projective hierarchy      293
proof      12 13
Proof by contradiction      208
Proof by induction      9
Proof by transfinite induction      26 27
Proper class      5 27 299
Proper fraction      90
Proper subset      2 25
Property      7 26 27
Property of Baire      281
Proportional      111
Propositional logic      328
Propositional variable      234 328
Provable      309
Puiseux's theorem      206
Purely transcendental      221
Pythagoras      208
Pythagoras' theorem      123 170
Quadratic equation      197 200 244
Quadratic extension      223 243
Quadratic formula      193
Quadratic surd      246
Quantifier      12
Quantifier alternation      318
Quantifier-free formula      292
Quartic equation      197 199
Quasi-order      60
Quintic      193 195
Quotient      45
Quotient group      182
Quotient ring      62 140
Quotient structure      66 328
Radical      188 193
RADIUS      121 148
Radius of convergence      164 225
RADIX      71 159 221
RANGE      3
Rate of increase      158
ratio      110 111
Ratio Test      163 176
Rational coefficients      95
Rational cut      133
Rational function      86 89
Rational limit      155
Rational line      115
Rational linear combination      209

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