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Bell E.T. — Mathematics: Queen and Servant of Science
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Íàçâàíèå: Mathematics: Queen and Servant of ScienceÀâòîð: Bell E.T. Àííîòàöèÿ: An absorbing account of pure and applied mathematics from the geometry of Euclid to that of Riemann, and its application in Einstein's theory of relativity. The twenty chapters cover such topics as: algebra, number theory, logic, probability, infinite sets and the foundations of mathematics, rings, matrices, transformations, groups, geometry, and topology. Mathematics was republished in 1987 with corrections and an added foreword by Martin Gardner.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 1996Êîëè÷åñòâî ñòðàíèö: 437Äîáàâëåíà â êàòàëîã: 16.04.2010Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Curve(s) 130—132 347—348 358—359 364—368 Curve(s), continuous 395 Curve(s), definitions of 148 Curve(s), degree of 132 Curve(s), sine 364 365 Curve(s), tangentless 395 Cut, Dedekind's 405—406 Cycles 278 Cyzicus 272 287 Dante xiv 278 Darwin, C. xiv 5 290—291 Davis, H.M. xiv 251 de Fermat, P.S. xiv 152 223—227 230 232 237—239 245 320—321 342 344—345 347 377—378 389 de Fermat, P.S., Last Theorem of 230 237—239 242 de Fermat, P.S., principle of least time of 342 344—345 de la Poussin, C.V. xviii 234 de Lafayette, M. xvi 373 de Maupertius, P.L.M. xvii 347—348 350 De Morgan, A. xiv 22 151 de Morgan, W.F. xiv 151 Dedekind, J.W.R. xiv 75 81 222 243 397—398 405—406 Deduction 266 268 288 density 386 Density, variable 345 Denumerable 48 64 derivatives 324—325 334 336 341 343 384 395 Derivatives, partial 327—328 333 352 Derivatives, second 326 Derivatives, second partial 328 Derivatives, third 327 Desargues, G. xiv 134 Descartes, R. xiv 101 122—126 129 132 135—139 145—146 153—154 191 193—194 196 221 277 306 411 Descent 238 Determinant 111—112 Determinism 131 Deviation 327n. Devil, Pascal's wager with 378 Dice 375 Dickson, L.E. xiv 223 246 Differential calculus see "Calculus" Differential equations see "Equations" Differentials 200 Digital 64 Dimensionality, geometric 142 148 dimensions 43 Diophantus xiv 159 236—237 Dirac, P.A.M. xiv 2 92 128—129 391 Direction 51 Dirichlet, P.G.L. xiv 234 242 Discontinuity 337 367 Discrete 49 234 304—305 Discreteness 306 Discriminant 95 116 Disquisitiones arithmeticae, by Gauss 68 220 Distance 138 160—162 191—193 198 Distance formulas 252 Distributive law 59 79 110 Distributive property 34 Disturbance(s), electromagnetic 255 373 Disturbance(s), periodic 368 373 diverge 396—397 Divergent 336 396—397 Divine Comedy, by Dante 278 Divisibility, infinite 302 310 Division, algebraic 31 Divisor, common 79 Divisor, greatest common 79 Divisor, normal 173—174 Domain of integrity 72 84 86 Double-bar notation 103 Drawing, mechanical 300 Dual 147 Duality, principle of 147—148 159 DuBridge, L.A. xiv 255—257 Dynamics 136 286 320 327 348 389 Dynamics, classical 388 Dynamics, Newtonian 210 267 387 Earth 292 348 Earthquake(s) 357 360 Eccentricity 289 Ecology 349 Economics, mathematics of 355 Economy, divine 349 Eddington, A.S. xiv 113 181 270—271 Einstein, A. xiv 1 14 26 42 97 104 115 127 139 203—204 206 208 210—214 216 251 266 270 279 Eisenstein, F.M.G. xiv 225—226 Elasticity 329 electricity 345 357 362 370 Electricity, two-fluid theory of 266 Electromagnetic field, Maxwell's equations of 127 Electromagnetism 259 329 334 electronics 250 Electrons 179—181 391 Electrostatics 155 Element(s) 24 68 257 Element(s), chemical 257 Element(s), neutral 99 Elements, by Euclid 24 188 311 Ellipses 274 276 280 282—283 285 Energy 290 Energy, conservation of 117 290 Energy, electrical 290 English Channel 369 Entities 126—127 Entities, existence proofs of 410 Entities, physical 300 Entuples 197—199 Envelope of lines 148 Epicycles 278 Equality 30 69 76 78 Equations in mathematical physics 255 Equations in two or more unknowns 236 Equations of center 290 Equations of heat conduction 319 Equations of line 129 Equations, algebraic 54 237 Equations, algebraic of nth degree 355 Equations, algebraic solution of 184 Equations, algebraic, Galois' theory of 173 Equations, annual 290 Equations, Cartesian 276 Equations, Cauchy — Riemann 352—353 Equations, characteristic 110 Equations, differential 182 209 214 254 316—318 329—330 349—350 356 358 383—384 Equations, differential, for optics 350 Equations, differential, non-linear 3 336 Equations, differential, partial 329 332 371 Equations, diophantine first degree 237—239 Equations, Einstein's 115 Equations, electromagnetic 255 Equations, fifth degree 185 Equations, Fourier's 318 Equations, integral 355—356 Equations, invariant 209—210 Equations, irreducible 241 Equations, Laplace's 329—330 333 353 Equations, linear 112 Equations, Maxwell's 127 372 Equations, quadratic 116—117 Equations, wave 255 372—373 Equivalence classes 69 Equivalence relation 68—69 105 197 Eskimos 117 Ether 357 371—372 Ether, luminiferous 266 Euclid xiv 9—10 20 22—24 30 38—40 42—43 126 129 143 149 159 225 232—233 262—263 311 410 412 Eudoxus xiv 272 397 Euler, L. xiv 14 92 150 153 163 225 233 236 238 247 292 Evection 290 Even 180 Event(s), mutually exclusive 387 Everett, E. xiv 20—21 Evolution, Darwin's theory of 290—291 Excluded Middle 24 60 63 410 Existence theorems see "Theorems" Existence, Infinite 304 Experience 37 262—265 Experience, common 264 Experience, human 126 Experience, physical 93 264 Experience, sensory 27 Experience, tactual 140 Experience, visual 140 Experiment 390 Extension(s) 84—88 Extension(s), algebraic 186—187 Extension(s), algebraic, simple 87 Extension(s), Galoisian 186 Extension(s), normal 186 Extension(s), separable 186 Extension(s), transcendental 86 Extremum (Extrema) 342—344 349 Factor tables 229 Factorization of large numbers, On the, by Cole 228 Factorization, unique 242 Faraday, M. xiv 254 357 370—371 Faust 391 Field 33 45 55 371 Field of force 371 Field, abstract 102 Field, abstract, Galois' theory of 186 Field, algebraic number 241—243 Field, commutative 105 Field, continuous 303 Field, Euclidean 244 Field, finite 71 Field, gravitational 213 Field, imaginary 244 Field, Maxwell's theory of 371 Field, prime 84 Field, quadratic 244 Field, theories in physics 302 Fifth, degree 184—185 Finite fields 71 Fission, atomic 116 Fission, nuclear 309 Flamsteed, J. xiv 290 Flattening, polar 289 Flow of heat 318 Flow of water 315—316 318 Flow, fluid 330—334 Flow, velocity of 315—316 318 331 Fluid, incompressible 387 Flux, eternal 314 335 Focus 276 Force(s) 36 284 427 Force(s) of attraction 284—285 Force(s) of gravitation 213 Force(s), central 288 384 Force(s), field of 371 Force(s), variable 394 Form, abstract 45 Form, binary quadratic 116 Form, homogeneous 120 Form, quadratic differential 200 208 213 Form, quadratic differential, general 201 Formalism 413—415 Formula(s), asymptotic 247 Formula(s), reading of 30 Formula(s), structural 120 Fourier analysis 2 Fourier's theorem 362 367—369 Fourier, J.B.J. xiv 2 5 318 354 Fowler, R.H. xiv 236 Frechet, (R.)M. xv 160 Free will 131 Frege, F.L.G. xv 402—403 412 French Academy of Sciences 210 French Revolution 118 Frequency fractions 376—377 Function(s) 50 321—322 329 Function(s) of a non-denumerable infinity of variables 355 Function(s) of complex variable 87 351 Function(s), analytic 352 Function(s), characteristic 350 Function(s), circular 354 Function(s), discontinuity of 367 Function(s), elliptic modular 185 Function(s), order 235 Function(s), orthogonal 369 Function(s), periodic 354—355 358—359 362 366 Function(s), potential 333 Function(s), propositional 66 Function(s), rational 86 Function(s), special 354—355 Function(s), trigonometric 354 Fundamental 368 369 Fundamental theory, by Eddington 181 271 G.C.D. ("greatest" common divisor) 76 79 80—81 G.C.D. ("greatest" common divisor) for ideals 83 Galaxy 267—268 383 Galileo xv 279 284 399—401 Galois theory 75 237 Galois, E. xv 54—55 75 164—165 172—173 184—187 Games, theory of 355 Gas(es) 267 304 327 384 Gas(es), invisible 118 Gas(es), kinetic theory of 247 268 309 Gas(es), perfect 267 Gas(es), poison 115 Gauss, C.F. xv 1 9 50 68 85 87 115 133 154—155 191 195—196 205 220—223 226—227 236 240 243—244 409 Gelfond, A. xv 245 Generator 273 Genes 381—382 Genesis 291 Gentzen, G. xv 415 Geodesic(s) 41 194 212 263 348 Geometric dimensionality, Pluecker's theory of 142 146—147 Geometrical object 145 Geometry 7 9 22—23 27 97 129—131 201 220—221 260—261 310 346 Geometry of heavens 276 Geometry of manifolds 346 Geometry of space 123 Geometry, abstract 141 158 162—163 214 Geometry, affine 99 Geometry, algebraic 75 91 115 Geometry, analytical 11 101 122 126 135 223 277 320 338 364 384 412 Geometry, any number of dimensions 144 Geometry, Cartesian 126 137—139 149 362 364 Geometry, definitions of 141—145 Geometry, differential 198 252 317 Geometry, discrete 401 Geometry, Euclidean 27 38—40 42 100 135 143 149 182 198 226 311 Geometry, Euclidean, non-Euclidean 144 222 Geometry, four-dimensions 43—44 136 Geometry, infinity of dimensions 44 Geometry, invention of 1 Geometry, kinematical 147 Geometry, Klein's 197 Geometry, language of 135 137 140 147 198 214 Geometry, lattice 99 Geometry, line 147 Geometry, Lobachewsky's 38 40 Geometry, metric 143 Geometry, object of 99 Geometry, physical 214 Geometry, postulates for elementary 34 262—264 Geometry, projective 55 98—99 143 146—150 Geometry, Riemannian 40 202—205 214 Geometry, school see "Geometry Euclidean"
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