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Devlin K.J. — Language of Mathematics: Making the Invisible Visible |
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Предметный указатель |
Notation, abstract 4
Nuclear force 332
Null knot 251
Null rotation 190
Number theory 3 13
Number theory, analytic 135
Orientable surface 230—231
Overhand Knot 247
Packing problem 199—205
parabola 153—154
Parallel projection 173
Parse tree 89
Partial derivative 310
Pascal's theorem 179—180
Pascal's triangle 275—276
Pascal, Blaise 33 179—180 273—275
Patterns 3
Peano, Guiseppe 67
Penrose tiling 217—220
Penrose, Roger 217—220
Periodic function 122
Permutation group 197
Photon 324
Planet 300
Plato 25 185
Plato's atomic theory 150
Platonic solids 148
Playfair's postulate 161
Poincare conjecture 244
Poincare, Henri 242—245
Point at infinity 176
Polkinhorne, John 10
Polygon, regular 216
Polytope 186
Poncelet, Jean-Victor 172
Predicate 53 62 67
Predicate logic 67
Presentation of a knot 250
Prime decomposition 26
Prime density function 27
Prime factor 26
Prime knot 252—254
Prime number 26—28 35—36
Prime number conjecture 136
Prime number tests 35—36
Prime number theorem 29 137—138
Primitive solution 44
Prior probability 290
probability 272—276 280 290 295
Probability theory 3 11—12 271
Projection 171—181
Projective geometry 171—181
proof 51 71
Proof theory 84
Proper time 327
Proposition 52
Propositional logic 63
Pseudosphere 169
Ptolemy 300—301
Public key system 38
Pythagoras 20 23 299
Pythagoras' theorem 23 43—45 261
Pythagorean metric 326
Pythagorean triple 43—45 261
qed 333
Quadratic formula 196
Quadrature 159
Quantifier 54 69
Quantum electrodynamics 333
Quantum field 331
Quantum theory 331
Quasicrystals 219
Quetelet, Lambert 292—293
Quintic polynomial 196
Radical 196
Radioactivity 118
Rational number 22
Real analysis 130
Real axis 132
Real number 129
Rectangular packing 200
Reef Knot 251
Regression to the mean 294—295
Regular polygon 216
Regular prime 46
Regular solid 149
Relativity, theory of general 319—321
Relativity, theory of special 316—318
Ribet, Kenneth 267
Riemann hypothesis 137
| Riemann, Bernhard 135—138 165—166
Riemannian geometry 166—169
RSA system 38
Ruler-and-compass construction 144—146
Russell's paradox 79—80
Russell, Bertrand 9 79—80
Saccheri, Girolamo 163—165
Saint Petersburg paradox 283
Science of patterns 3
Second derivative 121
Seiberg — Witten theory 336
Seiberg, Nathan 335—336
Set 76—81
Set theory 76—81 85
Shimura — Taniyama conjecture 267
Shimura, Goro 267
Similar polygons 148
Simplex method 186
Simultaneity 318—319
Sine function 108
Smale, Stephen 244
Smooth surface 241
Snowflakes 208—209
Soap films 8
Socrates 25
Solution by radicals 196
Space-time 322—329
Space-time manifold 329
Special relativity 316—318
Sphere packing 199—205
Spherical geometry 166—168
Squaring the circle 159
Standard deviation 287
Standard surface 234
Statistical inference 280
Statistics 11—12
Stock market 12
Stoics 63
String theory 334
Superstrings 258
Supersymmetry 336
surface 229—230
Surface, smooth 241
Surgery 239
Syllogism 53—58
Symmetry 189 332—333
Symmetry group 190 215
Symmetry, fivefold 218
Symmetry, sixfold 205
Syntactic structure 87—91
Tangent function 108
Taniyama, Yutaka 266
Taubes, Clifford 246 336
Thales 20 51 141 299
Thue, Axel 203
Thurston, William 245
Tiling 216—220
Tiling, aperiodic 217
Topological invariant 233
topology 3 199 222
Topology, algebraic 242
Torus 233—234
Tractrix 169
Transcendental number 159
Transformation 189
Trefoil knot 248
Trigonometric function 108
Trisecting the angle 160
Truth table 64
Twin paradox 328—329
Undecidable 85
Uninhibited decay 121
Uninhibited growth 120
union 77
Utility 282 284—285
Vector 304
Vector field 308
Vertex 223
Vortex atoms 258
Wallpaper patterns 213
Weierstrass, Karl 114—116 129
Weil, Andre 265 267
Weyl, Hermann 333
Wiles, Andrew 267—268
Witten, Edward 258 334—336
World line 324
Yang — Mills theory 246 334—335
Zeno 96 100
Zeno's paradoxes 100—101
Zermelo — Fraenkel set theory 80—81
Zeta function 136
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