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Mac Lane S. — Mathematics: Form and Function |
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Предметный указатель |
Recursion, theorem 45
Reflection 81
Reflexive 14
Regression 168 426
Regular 220
Regular, analytic 312 337
Regular, path 220
Regular, representation 135
Regularity axiom 365
Relation 131—132
Relativity theory 228
Relevance logic 370
Remainder 52
Remainder, term 168
Removable singularity 342
Representation 136
Representation, theorem 436
Represented 206
Research, directions of 449
Residue 341
Residue, theorem 343
Resnik 447
Riemann 350 452
Riemann integral 153
Riemann, integral 178
Riemann, metric 117
Riemann, sphere 117
Riemann, surface 230 346 438 453
Riemannian geometry 226
Right adjoint 398
Right inverse 132
Right vector space 188
Rigid motion 17 18 76 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 with structure 33
Set, theoretic platonism 449
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 pendulum 274
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
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 64 371—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
Totality 390
Tractrix 74—75
Trajectory 171
Transcendental 94
Transformation 21 134 188ff
Transformation group 133—135
Transformation, group 21 133—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
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 covering 346
Universal, algebra 26 434
Universal, arrow 393476
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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