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

Representation theorem      436
Represented      206
Research, directions of      449
Residue      341
Residue theorem      343
Resnik      447
Riemann      350 452
Riemann integral      178
Riemann integral domain      153
Riemann metric      117
Riemann sphere      117
Riemann surface      230 346 438 453
Riemannian geometry      266
Right adjoint      398
Right inverse      132
Right vector space      188
Rigid motion      17 18 77
Rigor      332 377
Ring      39 98
Ring of integers      419—420
Rolle's theorem      164 179
Rotation      78 316
Rule      127 410
Russell, Bertrand      375 439
Russell, Bertrand paradox      55 360
Russell, Scott      439
Saccheri      70
Scalar product      264
SCALE      94
Schoenfliess      451
Schroeder — Bernstein      360
Schwarz      439
Schwarz inequality      197
science      91 442
Second-order language      372
Sectional curvature      224
Segment      64
selecting      35
Self-adjoint      202
Semi-direct product      146
Semi-group      26
Sense      83
Sentence      375
Separation      364
Separation axiom      238
Series      101 168 336—337
Serre      451
Set      10 36 350
Set theoretic platonism      449
Set with structure      33
Shape mapping      223
Shaping      35
Sheaf      254 351 405
Shelah      385
Shift of attention      433
Side of a line      64
Sierpinski space      238
Similar matrix      191 213
Simple closed curve      321
Simple group      146 229
simple harmonic motion      180
Simplectic space      435
Simply connected      326
Simultaneous equations      189
Sine      110—113 310
Singleton      363
Singular homology      331
Singularity      341
Slide reflection      20
Small category      387
Small hom set      389
Smooth      170 415
Smooth manifold      244
Sobolev      439
Solitary wave      439
Solvable group      148
sort      382
span      209
Sparse matrix      189
Special linear group      134
Special orthogonal group      134 200
Spectral theorem      204
Spengler      76
Spherical coordinates      223
Spherical pendulum      274
Split extension      385
Splitting field      139
Sporadic groups      146
Start (of a path)      322
Stationary      279
Step function      178
Stereographic      117 315
Stokes' theorem      177
Stone Representation Theorem      148 436
Strict implication      370
Structure      26 33
Structure sheaf      255
Structure theorem      44
Subdivision of Mathematics      1 422
Subgroup      23 136
Subjects      422
Subobject classifier      400
Subset      27 129 363
Subspace topology      237
Substitution      50 124
Successor      8 34 43
Successor ordinal      363
SUM      9 97
surface      236 244
Surjection      133
Surveyor      411
Symmetric group      21 134
Symmetric matrix      202
Symmetry      18 19 113
Symplectic manifold      303
Syntax      127
Table of integrals      156
table of values      127 129
Tangent      248
Tangent bundle      249 250
Tangent line      167 435
Tangent plane      171
Tangent space      171
Tangent vector      171 249

Tarski      383
Tautology      370 373
Taylor's series      168 337 339
Taylor's theorem      167
Teleology      422
Tensor      211
Tensor product      205
Term      371
Term by term      335
Terminal object      395
Ternary operation      26 109 372
Ternary relation      67 371—372
Tertium non datur      4
Theory of connections      259
Theory of groups      434
Thermodynamics      169
Thompson      452
Timing      35
Top      295—301
Topological group      33
Topological space      32 33 236—238 356
torque      268
Torsion      221
Torsion coefficients      217
Torus      135 232—233 242
Total differential      170 174
Totality      390
Tractrix      74—75
Trajectory      171
Transcendental      94
Transformation      21 134 188ff
Transformation group      21 133—135
Transformation group action      133—135
Transit      411
Transitive      14 366
Transitive group      85
Transitive relation      14
Translation      18 77—78 80
Translation principle      381
Transpose matrix      190
transpositions      134
Transversal      64
TREE      361 402
triangle      63
Triangle axiom      17
Triangle inequality      17 99 198
Trichotomy      13
Trigonometric series      181 359
Trigonometric series functions      110 310
Trigonometry      110—113
Trilinear      208
Truth      440
Truth tables      369
Truth values      369 403—404
Two-body problem      261
Two-sided inverse      132
Two-sorted language      382
Tychonoff topology      394
Types      56
Unary operation      26
Unbounded      15
Understanding      38 377 431
Uniform continuity      163
Uniform convergence      333 335
Uniform space      335
Uniformization theorem      355
Uniformizing parameter      347
union      26 28 364
Unique factorization      49 419
Unit normal vector      223
Unit of a group      23
Unit of magnitude      74
Unit of multiplication      98
Unit vector      223
Unitary matrix      200
Unitary space      200
Universal      137 205
Universal algebra      26 434
Universal arrow      393
Universal covering      346
Universal covering space      346
Universal what-not      206
Universe      56
Upper bound      15
Valuation      342 420
Van der Waerden      451
Variable      127
Variable bound (least upper)      371
Variation      280
Veblen      451
Vector      78
Vector addition      78
Vector field      173 250 275
Vector product      262
Vector space      37 39 108 185 424
Velocity      29 158—159 261
Venn diagrams      27
Vinogradoff      49
Virtual displacement      273
von Neumann      437
von Neumann ordinals      366—367
Waring's problem      49
Wave equation      180 292—293
Weierstrass      452 453
Weierstrass condition      103
Weighted average      109 372
Weil      451
Well-formed formula      369
Well-order      58
Well-pointed topos      402
Weyl      187
Whitehead      385
Whitehead and Russell      3 375
Wigner      4 440 445
Winding number      325
Wittgenstein      1 444
Words      144
Work      174 264
Wrapping function      95 111
Yang — Mills      278
Zariski      451
Zermelo      366 443
Zermelo — Fraenkel axioms      362—368
Zeta function      310 349 411 429
Zorn Lemma      366

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