Авторизация
Поиск по указателям
Newman J.R. — The World of Mathematics, Volume 1
Обсудите книгу на научном форуме Нашли опечатку?
Название: The World of Mathematics, Volume 1Автор: Newman J.R. Аннотация: Volume 1 of a monumental 4-vol. set includes a general survey of mathematics; historical and biographical information on prominent mathematicians throughout history; material on arithmetic, numbers and the art of counting, and the mathematics of space and motion. Non-technical articles by and about scores of eminent mathematicians as well as literary figures, economists, biologists. and many other thinkers. Informative commentary by noted mathematics scholar James R. Newman precedes essays by Eric Temple Bell, W. W. Rouse Ball, Leonhard Euler, Bertrand Russell, Alfred North Whitehead, many others. Numerous figures.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2000Количество страниц: 724Добавлена в каталог: 02.04.2008Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Cross-ratio, projective invariance 632—633 635 638 639 Crystalline solid 222 fn. Crystals, faces of 548 Crystals, Pasteur's discoveries 688—689 Crystals, symmetry 688 712 Cube, Delian problem 618—619 Cube, doubling 618 Cube, duplication 90 92 93 Cube, earth, characteristic shape of 96 Cube, solid 86 Cubic curves 113 Cubic equations 29 115 118 119 Cubic locus, four dimension space 134 Cuneiform writing, numerals 443—444 Curvature, measure of 652 653 656—657 659 660 Curvature, space 567 656 Curvature, surface 563 Curve, area 40 41 42 53 130 Curve, classes 131 Curve, conic 113 Curve, construction 87 Curve, cycloid 135 Curve, duality 635—636 Curve, elementary flatness 559 Curve, equation 32 34 61 Curve, equiangular spiral 147 Curve, fluxions 58 Curve, Jordan theorem 588—590 Curve, line integral 324 Curve, mechanical 131 Curve, plane surface 31 Curve, polygon 56 Curve, tangent to 36—37 61 Curved space-time 335 Cut, Dedekind 526 526 Cyclic symmetry 706 707 Cycloid 135 Cylinders, volume 174 Cylindrical symmetry 675 703 706 d, different use of 54 da Moile, Damiano 616 da Vinci, Leonardo, geometrical construction of cast-shadows 609 da Vinci, Leonardo, perspective 606 607 609 da Vinci, Leonardo, polygons 615 da Vinci, Leonardo, symmetries 713 da Vinci, Leonardo, “The Last Supper” 623 626 Damianus, perspective 605 Dampier, William Cecil, Science, A History of 646 fn. Darboux, Gaston 478 fn. 479 Darwin, Charles Robert, evolution, theory of 413 Dase, Johann, mental calculations 465 476 486—487 Dase, Johann, written calculations 477 Date list, mathematicians, 18th century b.c. — 20th century a.d. 78 Davies, Crompton 386 401 Davies, Theodore Llewelyn 386 Davis, H.M., “Mathematical Machines” 518 de Acosta, Joseph, quoted 462 De Arte Supputandi, (Tonstall) 210 de Beer, G.R., Embryology, Elements of 691 fn. de Descartes, Oeuvres (Adam and Tannery) 247 fn.—249 fn. de Descartes, Oeuvres, Adam, Charles 247 fn. de Duillier, Facio 284 de Fermat, Pierre, calculus 132 500 de Fermat, Pierre, discoveries 130 236 de Fermat, Pierre, induction 68 de Fermat, Pierre, infinite descent, method of 311 505 de Fermat, Pierre, Last Theorem 136 312 326 333 504 504—515 de Fermat, Pierre, little or lesser theorem 506 516 de Fermat, Pierre, mathematical probability 135 de Fermat, Pierre, quoted 116 de Fermat, Pierre, tangents to curves 53 de Fermat, Pierre, theory of numbers 68 136 155 236 303fn. 500—515 de La Condamine, Charles M. 268 de la Hire, Phillippe 631 de la Vallee Poussin, C.J., prime number theorem 158 507 de Laplace, Pierre Simon, formula 370 de Laplace, Pierre Simon, infinitesimal calculus 59 de Laplace, Pierre Simon, least squares, method of 331 de Laplace, Pierre Simon, mathematical analysis 299 de Laplace, Pierre Simon, mathematical astronomy 313 314 315 316 de Laplace, Pierre Simon, Mecanique Cileste 155 321 de Laplace, Pierre Simon, quoted 275 De Morgan, Augustus, four-color problem 591 De Morgan, Augustus, publications 71—72 De Motu Corporum, (Newton) 264—265 De Natura Acidorum, (Newton) 272 De Prospectiva pingendi, (Francesca) 606 de Saint Vincent, Gregoire 137 de Tannery, Paul, Descartes, Oeuvres 247 fn. Decimal notation 23 114 116 117 Decreasing geometrically, logarithms 124 Decrement, velocity 48 Dedekind, Julius Wilhelm Richard, algebraic numbers 313 499 513 Dedekind, Julius Wilhelm Richard, analysis 165 299 Dedekind, Julius Wilhelm Richard, biography 527 Dedekind, Julius Wilhelm Richard, Continuity and Irrational Numbers 525 Dedekind, Julius Wilhelm Richard, irrational numbers 526—536 Deferent, circle 226 Definite integrals 371 Deformations, topological transformations 586 587 Degrees, equations 29 34 Delian problem 618 Democritus, atomic theory 94 Democritus, cone elevation 97 Democritus, mathematical powers 104 Democritus, stratification 95 DeMoivre, Abraham 78 151 Denary system 516 des Nombres, Thiorie (Lucas) 504 Desargues' theorem, dual terms 635 Desargues, Gerard, projective geometry 627—628 629 631 635 640 641 Descartes (Mahaffy) 235 fn. Descartes, Rene, algebra, application to geometry 61 162 Descartes, Rene, algebraic notation 22—23 26—27 28 29 Descartes, Rene, analytical geometry 31 33 41 102 116 129 142 235—237 Descartes, Rene, Cartesian oval 132 154 Descartes, Rene, co-ordinate geometry see “Descartes analytical Descartes, Rene, commentary on 235—237 Descartes, Rene, curves 37 49 113 131—132 640—641 Descartes, Rene, cycloid 135 Descartes, Rene, distances, expressing 25 Descartes, Rene, Geometry 26 31 32 237 520 Descartes, Rene, imaginary numbers 30 Descartes, Rene, letters, use in equations 50 Descartes, Rene, line equations 35 61 Descartes, Rene, Meditations 129 Descartes, Rene, Method, Discourse on 129 235 237 Descartes, Rene, notation 130—131 Descartes, Rene, planetary motions 132 257 259 Descartes, Rene, polyhedron 571 581 Descartes, Rene, projective geometry theory 631 Descartes, Rene, quoted 20—22 129 247—248 Descartes, Rene, refraction, law of 226 Descartes, Rene, surface, geometry 336 Descartes, Rene, symbolic algebra 115 Descartes, Rene, topology 571 Descartes, Rene, vortices, theory of 257 259 Descartes, Rene, whirlpool theory 144 Descartes, Rene, “Geometry, The” 239—253 Descriptions, theory of 389 Descriptive geometry 601 631 Determinate connection, arithmetic symbols 24 Dewey, John 398 Diamandi, Pericles 478 480 Diatonic scales 100 Dickinson, Lowes 377 385 Dickson, Leonard Eugene 333 515 Dickson, Leonard Eugene, Numbers, Theory of 500 Differential calculus 42 47 54—55 129 132 139 142 143 152 258 Differential equation 147 Differential geometry 104 334 Differential invariants 363 Differential quotient 47 61 Differentials, higher orders of 57 Diffraction, light 262 263 Digit, number 483 Digital computer 517 Dimensions, function 51 Diodorus, Archimedes’ studies 179 Diogenes Laertius, Pythagorus 189 Diophantine analysis 508—510 Diophantus, algebra invention 16 22 Diophantus, algebraic epitaph 114 188 207 Diophantus, analytic theory of numbers 508 Diophantus, notation 131 Diophantus, syncopated algebra 115—116 Diophantus, writings 114 Directions, aggregate of 560 Dirichlet, Peter G.L. 311 312 507 512 Discrete aggregate 557 558 Discriminant 351 361 Displacement, fluids by solids 185—186 188 199—200 Distances, expressed by arithmetic 25 Distances, successive 221 222 231—232 Divergent series 369 370 Divided line, geometry of 98 Divinity, arithmetic needful to 215 Division, by zero 293 fn. Division, calculating prodigies 482—483 Division, methods 461 462 Division, partition 24 Division, Roman methods 451 Dodecahedra, religious significance 720 dodecahedron 86 96 101 613 Dodgson, Charles Lutwidge see “Lewis Carroll” Double refraction 569 Driesch, Hans Adolf 692—693 Dryden, John, quoted 288 Du Bois — Reymond, Emil 642 644 Duality, principles of 112 121 567 634—638 Durer, Albrecht (Panofsky) 601 fn. 603—621 Durer, Albrecht, analytical geometry 613 Durer, Albrecht, city-planning 615—616 Durer, Albrecht, commentary on 600—602 Durer, Albrecht, cube, doubling 618 Durer, Albrecht, geometry books 601 609 Durer, Albrecht, Measurement, Course in the Art of 601 609 610 611 612—619 Durer, Albrecht, parallel projection 613 Durer, Albrecht, pentagon 615 Durer, Albrecht, perspective, mechanical means 609—610 Durer, Albrecht, perspective, theoretical knowledge 604 Durer, Albrecht, polygons 614—615 Durer, Albrecht, projection and section, principle 625 Durer, Albrecht, proportions for human figure 671 671 713 Durer, Albrecht, quoted 601 fn. Durer, Albrecht, three-dimensional bodies 617—618 Durer, Albrecht, “costruzione legittima” 608 609 Dyad of the great and small 98 Dynamical world, model of reality 44 Dynamics, Galileo's invention 120 Dynamics, laws of 659 Dynamics, Newtonian 48 Dynamics, principle of least action 110 Dynamics, science of 43—52 Dynamo, invention 9 d’Analyse, Cours (Jordan) 589 e (defined) 151 Eagle, double-headed 675 Earth (element), characteristic shape 96 Earth (planet), daily rotation 679—680 Earth (planet), density 267 268 Earth (planet), limited surface 164 Earth (planet), measurement 11 118 205—206 Earth (planet), motion 104 110 120 Earth (planet), perimeter 421 Eastern bargainers’ counting methods 440—441 Ebanmass, symmetry 671 Eddington, Arthur Stanley, quoted 275 Egg, polar axis 691 Egg-shaped body, surface 652 Egypt, algebraic puzzles 178 Egypt, counting 99 Egypt, exact measurements, science of 80 Egypt, fractions 12 171 Egypt, geometrical knowledge 10 11 13 14 68 80 169 175 Egypt, land surveys 10 79 80 Egypt, mathematics 12 69 79 169—178 Egypt, mensuration 81 Egypt, numerals 442 445 Egypt, ornamental art 703 Egypt, pyramid, building 79 Egypt, Rhind papyrus 170 Egypt, sphere, area 89 Egypt, temples, orientation 11 Eighteen, Roman numerals 449 Eikon Basilike 255 Einstein, Albert, gravitation theory 146 328 409 Einstein, Albert, invariants 352 Einstein, Albert, least action, principle 110 154 Einstein, Albert, quoted 275 Einstein, Albert, relativity, theory of 128 162 646 Eisenstein, F.M.G., cubic reciprocity 326 Eisenstein, F.M.G., invariants 351 Eisenstein, F.M.G., prime numbers 501—502 Eleatic school, conception of motion 19 Electric telegraph invention 9 317 327 Electromagnetic waves 644 Electromagnetism 219 317 327 338 498 Electronic memory 518 Electrostatics, conformal mapping 337 Element, primordial 415 Elementary flatness, postulate 559—561 566 Elements of Geometry (Euclid) 11 41 69 100 101—102 108 141 190 193 552—553 Ellipse, curve 34 91 Ellipse, planetary 126 144 218 229—230 Ellipse, Pythagorean term 87 97 115 Ellipse, tangent of 107 Elliptic functions 158 326 332 344 371 Elliptic geometry 159 Elliptic integrals 369 Embryology, Elements of (Huxley and de Beer) 691 fn. Energy, conservation 6 643 643 Energy, invariant 353 Energy, physical idea 415 England, algebra introduced 23 England, mathematics, progress in 59 118 120 156 210 English language, explicitness 406 Enharmonic scales 100 Entemena (king), silver vase 674 Entity, unknown 16 Ephemerides (Kepler) 124 Epicurean Life, The (Plutarch) 189 Epicycle, circle 110 226 Equable description of areas, law of 126 229—230 Equal ratios 82 99 101 117 Equality, sign of 28 Equant, planetary speeds 226 227—228 Equation, definition 28 410—411 Equation, degrees 29 34 Equation, differential 147 Equation, Diophantine 509 Equation, geometrical and mechanical, letters used in 50 Equation, indeterminate 105 Equation, lines 245 Equation, of irreducible degree n 512 Equation, roots 119 145 273 309 364 Equiangular spiral 147 Equilateral triangle, Euclidean construction 502 Equilibrium, symmetric 686 Equinoxes, precession 268
Реклама
|
|
О проекте