Lane S.M. — Mathematics, form and function :: Электронная библиотека попечительского совета мехмата МГУ

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Lane S.M. — Mathematics, form and function

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Название: Mathematics, form and function

Автор: Lane S.M.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1985

Количество страниц: 487

Добавлена в каталог: 01.12.2013

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

Предметный указатель

$GL_{n}(V)$       134
$O_{n}$       134
Abelian category      425
Abelian group      23
Absolute convergence      334
Absolute rigor      377
Absolute value      99
Abstraction      38 435
Acceleration      29 158 260
Action (of a group)      85
Activity      35 409
Addition      9 45 97
Addition formula      112
Additive      186
Adjoint      201
Adjoint functor      398
Affine geometry      109 134
Affine transformation      109 134
Aleph zero      11
Alexander      451
Algebra      1 422 423
Algebra of relations      132
Algebraic function      418
Algebraic integer      419
Algebraic number      94 418
Algebraic structure      26
Algorithm      439
Almost everywhere      178
Alternating group      134
Amalgamation      396
Amplitude      266
Analogy      37 431
Analysis      178
Analysis of proofs      432
Analytic continuation      348
Analytic function      312 337
Analytic geometry      424
Analytic number theory      350
AND      368
angle      65 95
Angular momentum velocity      262 297
Anti-symmetric relation      14
Applied mathematics      414 422 426
Approximation      30 167 170
Arc length      220
arc sin      124
Archimedian Axiom      66
Archimedian law      99 154
Arguing      35
Argument of complex number      115
arrows      386
ASSIGNMENT      123 124
Associative      23
Associative law      42 386
Atlas      239 241
Automorphism      116 136
Axiom of Choice      366 401
Axiom of Completeness      377
Axiom of determinacy      385
Axiom scheme      365
Axiomatic set theory      362
Axiomatic structure      40
Axiomatization      39
Axioms for set      56 363—368
Axioms on functions      398
Axis of rotation      89
Ayres      431
Banach space      436
Base (of a bundle)      250
Base (of a topology)      352
Base field      139
Base point      388
Basis      108 186
Betti numbers      217
Betweenness      64 99
Bezout theorem      435
Bijection      8 133
Bilinear      171 194 204
Bilinear form      198
Binary operation      26
Binary relation      14
binomial      222
Binomial series      101
Binomial theorem      44 101 434
Birkhoff      450
Bolyai      70
Bolza      452
Boolean algebra      27 404 436
Borel — Lebesgue theorem      165
Bound (least upper)      15 102
Bound variable      371
Boundary      320 341
Boundary values      181
Bounded      163
Bounded comprehension      373
Bounded quantifiers      372
Bourbaki      5 166
Bracket notation for sets      8 364
Branch      230 309
Branch point      355
Brouwer      4 451
Building      35
Burnside      25 429
Calculus      29 150ff 259 422
Calculus of variations      279 452
Canonical form      217
Cantor      106 360
Cardinal equivalence      54
cardinal number      8 11 54 132 367
Cartesian coordinates      424
Cartesian product      129 392
Cast out      10 52
Category      386
Cauchy condition      103
Cauchy integral formula      338
Cauchy sequence      101 105
Cauchy theorem      328 338 378
Cauchy — Goursat      329 331
Cauchy — Riemann equations      313
Cayley      25 191 436
Cayley — Hamilton theorem      193
Cayley's theorem      23 39 134
Centrifugal force      268
Chain rule      154 168
Chains      331
Chance      35
Change of base      270
Change of basis      189 191
Change of coordinates      243
Change of fields      207
Characteristic      142
Characteristic function      399
Characteristic polynomial      192
Chart      223 239—241 244
Chen      49
Chevalley      451
Chief series      437
Chinese remainder      380
Choice function      366
choosing      35
Circle of convergence      337
Circular disc      31 312
class      387
Class $C^{k}$       244
Class $C^{\infty}$       244
Class field theory      432
clockwise      82
Clopen      349
Closed path      321 324
Closed set      327

Closure      327—328
Codomain      129 382 386
Cohen, Paul      384—385
collecting      35
Collection      7 36
Commutative diagram      22 46 388
Commutative law      42
Commutative ring      98
Compact      40 165—166
Compactness theorem (logic)      375
Companion matrix      215
comparing      7 35
Complement      27
Complete metric      179
Complete ordered field      103
Complete solution      293
Complete system of invariants      216 221
Completeness      15
Completeness theorem      375
Completion of systems      37
Complex conjugation      116 138
complex derivative      312ff
Complex number      114
Complex variable      307
components      354
Composite      18 25 121—122 124 130
Composite arrow      386
Composite function      128
Composite path      319
Composite relation      132
composition      131 147—148
Composition factors      141
Composition series of a group      141
Comprehension axiom      56 314
Computational complexity      439
Computing      35
Configuration space      270
conformal      117 314
Congruence axioms      65
Congruence class      53 133
Congruence theorems      66
conjugate      80
Conjugate complex      116 138
Conjugation      86 326
Conjunction      369
Connected      238 349
Connected components      354
Connected path      239
Conservation of energy      266
Conservation of momentum      264
Conservative system      266
Consistency      379
Constants of integration      193
Constraints      272
Constructible hierarchy      384
Constructible set      384
Constructivism      455
Contangent bundle      249
Contangent space      171
Contangent vector      171 249
Continuity      30 32
Continuity axiom      66
Continuous geometry      437
Continuum Hypothesis      360 383 451
Contour lines      248 344
Contradiction      379
Contravariant      196 389
Contravariant functor      389
Conundrums      334
Convenient category      397
Convergence      100 173
Convergent      334
Convergent Series      102
Convex set      332
coordinates      108 188
Copernicus      259
Coproduct      395
Correspondence      8
Coset      85 137
Cosine      110—113 310
Counterclockwise      82
Counting      7
Covering      165
Covering map      345 351
Cramer's rule      189
Cross section      250 253 353 401
Crystallographic groups      20
Cube root      116
Cumulative-hierarchy      362
Cup product      435
Curvature      74 220 223
Curve      220
Curved space      228
CYCLE      12
Cyclic group action      135
Cyclic groups      23
Cyclic modules      216
Cyclomatic field      419
Data type      26
de Morgan law      370
Decimals      43
Decision theory      439
Dedekind      359
Dedekind axiom      66 103 331
Dedekind cut      46 103—104
Defineable set      384
Definite integral      152—153
Deformation      323
Degree      139 324
Deletion of axioms      38
Delta function      439
Dense      15
Denumberable      11
Dependence      127
Descriptive geometry      424
Determinacy, axiom of      385
Determinant      190 213
Diagonal argument      360 383
Diagonal matrix      191
Diagonal subset      132
Differential equation      161
Differential form      174
Differential geometry      219ff
Dihedral group      434
DIMENSION      108 186
Diophantine equation      49 428
Dirac      439
Direct product      143
Direct sum      204 214 393
Direction      86
Directional derivative      169 193 248
Dirichlet theorem      49 180
Discrete      237
Disjoint      9
Disjoint union      54 396
Disjunction      369
Disk      31 32 312
Distance      16
Distortion      236
distribution      439
Distributive law      43 98 437
Divergence theorem      175
Divergent series      333
Division algorithm      48
Division ring      98
Domain of a chart      239
Domain of a function      129—130
Domain of a map      382
Double arrow      128
Double dual      195

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