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Devlin K.J. Ч Language of Mathematics: Making the Invisible Visible
Devlin K.J. Ч Language of Mathematics: Making the Invisible Visible

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Ќазвание: Language of Mathematics: Making the Invisible Visible

јвтор: Devlin K.J.

јннотаци€:

Devlin probes the ways that mathematics affect every aspect of our daily lives Ч from the physical to the social.


язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1998

 оличество страниц: 344

ƒобавлена в каталог: 11.06.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
A posteriori probability      280
a priori probability      280
Abelian group      194
Abstract notation      4
Achilles and the tortoise      101
Alexander polynomial      254
Alexandria      25
Algebraic number      159
Algebraic topology      242
Algebraic variety      265
Analytic number theory      135
Aperiodic tiling      217
Apolloneus      152Ч153
Archimedes      125 153Ч154
ARCLP test      36
Aristotle      11 25 52
Arithmetic      3
Arithmetic, Diophantus'      5 41Ч42
Atiyah, Michael      258 335
Average man      292
Axiom      71Ч76
Axiomatic set theory      80
Babylonian mathematics      1 19
Banchoff, Thomas      185
Base rate      290
Bayes' formula      290Ч292
Bayes' theory      289Ч292
Bayes, Rev. Thomas      289
Beauty in mathematics      9
Bell curve      286 292Ч293
Berkeley, Bishop      113
Bernoulli family      279
Bernoulli's equation      11 282
Bernoulli, Daniel      10 282Ч285
Bernoulli, Jacob      279Ч281
Black Ч Scholes formula      296Ч298
Bolyai, Janos      165
Boole, George      58Ч62
Brahe, Tycho      302
Bravais lattice      203
Bravais, Augustus      198 203
Brianchon's theorem      180
Brianchon, Charles Julien      180
Calculus      3 11 12 96Ч121
Calculus, Fundamental Theorem of      128
Cantor, Georg      76
Cardano, Girolamo      272Ч273
Cartesian geometry      154Ч158
Cauchy, Augustin-Louis      114Ч116 129
Cavalieri, Bonaventura      126
Central projection      173
Chance      272
Chebyshev, Pafnuti      136
Chomsky, Noam      11 87
ciphers      37Ч39
Clock arithmetic      31Ч33
Closed surface      235
Codes, data      212Ч213
Codes, security      36Ч39
Cohen, Paul      85
Commutative law      4 18
Complete axiom system      81
Completeness axiom      130
Complex number      130Ч135
Composite number      26
Computability theory      85
Conditional      64
Congruence      32
Conic section      152
Conjunction      63Ч64
Conway, John Horton      219
Coordinate geometry      154Ч158
Copernicus, Nicolas      301
Cosine function      108
Cross-ratio      175
Crosscap      237
Crossing number      252
Crystallography      198
Crystals      209
da Vinci, Leonardo      171
Danzig, George      186
de Fermat, Pierre      33Ч34 273Ч275
De Moivre, Abraham      286Ч287
Dedekind, Richard      129Ч130
Density of a packing      200
Derivative      116Ч118
Desargues' theorem      175Ч176
Desargues, Gerard      175
Descartes, Rene      154Ч158
Descent, method of infinite      46
Differential calculus      116Ч118
Differential equation      118Ч121
Differentiation      107 116Ч118
Differentiation structure      246
DIMENSION      181Ч186
Diophantus      4
Dirichlet domain      213Ч215
Disjunction      64
DNA      257
Doerer, Albrecht      171
Donaldson, Simon      245Ч246 258 335
Dual      179
Dual theorem      179
Duality principle      179
Duplicating the cube      160
e      109
EDGE      222
Egyptian mathematics      1 19
Einstein, Albert      316Ч321
Electromagnetic wave      306Ч307 311
Elements      2 22 25 139 141Ч149
ellipse      153
Elliptic curve      263Ч264
Eratosthenes      11 300
Erlangen program      198
Ether      314
Euclid      2 25 142Ч143
Euclid's postulates      142Ч143
Euclidean geometry      142
Euclidean space      184
Eudoxus      124 300
Euler characteristic      234
Euler's formula      134Ч135
Euler's network formula      224Ч227
Euler's polyhedra formula      224Ч227
Euler, Leonhard      34 46 56 106 136 222Ч223
Exhaustion, method of      124Ч125
Expectation      282Ч284
Exponential function      109
Factorial      108
Faltings, Gerd      265Ч266
Fatou, Pierre      7
Federalist papers      91Ч93
Fermat's last theorem      41Ч47 259Ч269
Fermat's litde theorem      34Ч36
Fibonacci sequence      140Ч141
Field      33 73 129 308
Fifth Postulate of Euclid      144 161Ч171
Figure-of-eight knot      247
Financial derivative      296
FLUENT      112
Fluxion      112
Focus of a parabola      154
Force field      308
Formula      68
Four color theorem      240Ч241
Four-knot      248
Fourier analysis      122Ч123
Fourier's theorem      122
Fourier, Joseph      122
Frame of reference      317
Freedman, Michael      244
Frege, Gottlob      67
Function      107
Fundamental group      242
Fundamental theorem of algebra      134
Fundamental Theorem of Arithmetic      26
Fundamental theorem of calculus      128
Galileo Galilei      10 152 302Ч304
Galois group      197
Galois, Evariste      192 196Ч199
Galton board      294Ч295
Galton, John      293Ч295
gambling      271Ч275
Gauge group      333
Gauge theory      333
Gauss, Karl Friedrich      29Ч33 134 165 202Ч203 205 286Ч287
Gaussian distribution      287
General relativity      319Ч321
Genus of a knot      256
Genus of a surface      235
Genus of an equation      263
Geodesic      166
Geometric series      104
Geometry      3 141Ч187 198 245
GIMPS      41
Goedel's theorem      83
Goedel, Kurt      82Ч84
Goldbach conjecture      39
Golden ratio      139Ч140 218
Grammar      87
Grand unified theory      333
Granny Knot      251
Graunt, John      277Ч278
Gravity      329Ч330
Greek mathematics      1 20
Gregory, James      106
Group      191
Group theory      193
Group, fundamental      242
Halley, Edmund      278
Handle      235
Hardy, G.H.      9
Harmonic series      105
Heawood's formula      241
Hertz, Heinrich      313
Hexagonal packing      200
Hilbert's program      81Ч84
Hilbert, David      81 144 181
Hippasus      24
Hoffman, David      8
Homotopy      243
Homotopy group      243
Honeycombs      208
Hyperbola      153
Hyperbolic geometry      165
Hypercube      185Ч186
i      131
Imaginary axis      132
Imaginary number      131
Indivisibles, method of      126
Induction      47Ч50
Infinite series      102
infinity      96 101Ч106
Infinity, point at      176
Inhibited growth      121
Instanton      335
Insurance industry      12 277Ч279
INTEGER      72
Integral calculus      123
Integral domain      73
Intersection      77
Invariant, knot      250
Invariant, topological      233
Inverse in a group      193
Invisible universe      12
Irrational number      22
Jones polynomial      256Ч258
Jones, Vaughan      256Ч257
Julia set      7
Julia, Gaston      7
Kelvin's atomic theory      257Ч258
Kepler's laws      125Ч126 302
Kepler's planetary theory      150Ч152
Kepler, Johannes      125Ч126 201 205Ч209 302
Kleene, Stephen Cole      85
Klein bottle      238
Klein, Felix      198
Knot      247Ч259
Knot complement      255
Knot group      255
Knot invariant      250
Knot presentation      250
Koenigsberg bridges problem      222Ч223
Kolmogorov, A.N.      295
Kummer, Ernst      46Ч47
Lattice      202Ч205
Law of Large Numbers      281
Leech lattice      212
Leibniz, Gottfried Wilhelm      2 33 97 99 280
Light cone      323
Light, speed of      312
LIMIT      130
Limited growth      119
Limiting value      112
Lindemann, Ferdinand      159
Line at infinity      177
Linguistics      87
Lobachevsky, Nikolay      165
Logic      3
Lorentz contraction      317Ч318
Mandelbrot, Benoit      7
Manifold      242Ч246
Maxwell's equations      11 310Ч311
Maxwell, James Clerk      307Ч308
Measure theory      296
Meeks, William, III      8
Mersenne number      40
Mersenne prime      40
Mersenne, Marin      39Ч40
Metric      326
Michelson's experiment      314Ч315
Michelson, Albert      316
Milnor, John      246
Minimal surface      8
Minkowski distance      326Ч328
Minkowski, Hermann      322
Model theory      84
Modular arithmetic      32
Modular curve      266
Modulus      32
modus ponens      66
Moebius band      229Ч233 237
Moebius, Augustus      227Ч233
Mordell's conjecture      264Ч266
Mordell, Lewis      264Ч265
Moscow papyrus      19
MUSIC      5Ч7
Natural number      18
Negation      64
Network      222Ч224
Network theory      224
Neusis construction      160
Newton's law of force      304
Newton's Law of Gravity      304Ч305
Newton, Isaac      2 33 97Ч98 304
Noether, Emmy      332Ч333
Non-Eudidean geometry      165
Nonorientable surface      230Ч231
Normal distribution      296
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