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
Binary theory 310 Binomial congruence 310 311 325 Binomial equation 310 Binomial theorem 139 140 256 258 299 519—524 Biological sciences 413 Biology: fibers, study of 691 Biot, Jean Baptiste 275 Biquadratic reciprocity 325 Birds, ability to count 433 434 488—496 Birds, gifted 488—489 Birds, self—conditioning 490 Birkhoff, George David, Aesthetic Measure 671 fn. Blackboards, arithmetic 460 Blake, William, quoted 671 Blondel, Francois 616 Bode's law 221 313 Bode, Johann Elert 221—222 fn. Boehme, Jacob 273 Boethius, Anicius 18 Bolivia, numeral words 432 Bologna, Italy, center of learning 118 Boltzmann, Ludwig 275 Bolyai, John, non-Euclidean geometry 639 Bolyai, Wolfgang 158—159 Bonnet, Charles, spirals 718 Bookkeeping, use of Roman numerals 451 Boole, George, invariants 349 350 351 Boole, George, logical algebra 163 397 Born, Max, quantum mechanics 396 Bosse, Abraham 631 Bothwell, Adam 121 Bouts, Dirk, Last Supper 604 605 Boyer, Carl B., Analytic Geometry, Invention of 236 fn. Boyer, Carl B., Calculus, The Concepts of the 286 fn. 287 Boyle, Robert 272 Brachistochrone problem 267 Brackets, symbol 27 Bradley, Francis Herbert 387 Brahe, Tycho, astronomical speculations 120 Brahe, Tycho, celestial measurements 218 Brahe, Tycho, Kepler, association with 125—126 223—225 Brahe, Tycho, logarithmic tables 123 Brahe, Tycho, Rudolphine tables 225 232 Brahmagupta 78 117 Brainwaves, wordless 495 Bramante, Donato 609 Brazil, finger counting 435 Brazil, forest tribes number knowledge 432 Brewster, David 281 339 Brewster, David, quoted 234 Brianchon, Charles, projective geometry 631 Brianchon, Charles, theorem 637 Briggs, Henry 123—124 125 140 Briicke, Ernest 642 Brinton, D.G. 432 fn. British Museum, Rhind papyrus 169 170 Broad, C.D. 280 395 398 Brooke, Rupert, quoted 358 fn. Brouncker, William, Viscount 137 138 Brouwer, Luitzen E.J., paradoxes 167—168 Browne, Sir Thomas, quoted 368 Browne, Sir Thomas, symmetry in nature 712 Brunelleschi, Filippo 605 Brunswick, Carl Wilhelm Ferdinand, Duke of 156 300 306 307 317—318 321 Buirgi, Joost, logarithms 125 Burning glasses, Archimedes’ 179 Buxton, Jedidiah, idiosavant 465 Buxton, Jedidiah, problems solved 468—470 477 Byron, Lord 329 Cajori, Florian 286 fn. Calandri, arithmetic book 461 Calcul infinitesimal, Reflexions sur la metaphysique (Carnot) 292 fn. Calculate, origin of word 456 Calculating machines see “Computing machines” Calculating prodigies, law for rapidity of mental work 486—487 Calculation see also “Counting” Calculation, approximative 508 Calculation, Mental 465 467 Calculation, symbolism 28 Calculus, differential 42 47 54—55 129 132 139 142 143 152 258 Calculus, infinitesimal 43 48 52 53—62 95 127 142 146 286—293 411 Calculus, integral 42 47 90 103 104 135 139 142 143 258 Calculus, tensor 328 641 Calculus, The Concepts of the (Boyer) 286fn. 287 Calculus, variations 111 153 267 274 Cambridge University, Analytical Society 517 Cambridge University, differential calculus 152 Cambridge University, Leibniz's notation 59 Cambridge University, Sadlerian professorship of mathematics 353 Cambridge University, women students 354 Camerarius, Joachim 671 fn. Camerarius, Joachim, quoted 601 Cancellation and reduction, science of 117 Canonical binary forms 358 Cantor, Georg, cardinal, greatest 388 Cantor, Georg, transcendentals 514 Cantor, Moritz 572 fn. 601 Cardan (Cardano), Girolamo, algebra 76 Cardan (Cardano), Girolamo, Ars Magna 119 Cardan (Cardano), Girolamo, biography 119 Cardan (Cardano), Girolamo, cubic equation 118 Cardan (Cardano), Girolamo, equations, algebraic theory 120 Cardan (Cardano), Girolamo, pentagon 615 Cardinal numbers 389 Carlyle, Thomas, quoted 128 Carnot, L.N.M. 292fn. 631 632 Carpenter's rule 84 Carr, George Shoobridge 366 fn. Carroll, Lewis (Charles L. Dodgson), quoted 432 Cartesian oval 131 132 337 Cat and grain problem, Rhind papyrus 175—178 Cataldi, P.A., pentagon 615 Cattle problem 105—106 116 188 197—198 201 418 Cauchy, Augustin Louis, algebraic numbers 512 Cauchy, Augustin Louis, analytic functions, complex variable 323 324 332 Cauchy, Augustin Louis, infinitesimal calculus 59 60 287 Cavalieri, Bonaventura, method of indivisibles 41—42 135 137 Cayley, Arthur, commentary on 340 Cayley, Arthur, four-color problem 591 Cayley, Arthur, invariants 163—164 341 342 344 350 359 Cayley, Arthur, Linear Transformations, On the Theory of 351 Cayley, Arthur, Mathematical Papers, Collected 362 Cayley, Arthur, plane curves 344 Cayley, Arthur, projective geometry 359 639 640 Cayley, Arthur, qualities 355 Cayley, Arthur, quoted 341 Cayley, Arthur, space geometry 160 342 Cayley, Arthur, “Invariant Twins” (Bell) 341—365 Celestial measurements, Brahe 218 Cells, mitosis 691 692—693 Center, fixation 36 Central vanishing point 604 Centroid, center of gravity 111 Ceres (planet), discovery 313—314 315 Chace, Arnold Buffum 173 174 175 Chaldeans, cuneiform numerals 443 Characteristic function 161 162 164 Charistion 187 fn. Charles II (king of England), epitaph 27 Chasles, Michel 102 133 151 631 Chaucer, Geoffrey, quoted 75 Children, finger counting 437—439 Chiliades (Tzetzes) 187 fn. Chiliagon 422 China, abacus 456—457 China, counting 99 China, integers 51 China, measuring a right angle 11 80 China, numerals 445 China, symbol for “three” 444 China, symbol for “two” 443 Christian Faith, Apologia of the (Pascal) 135 Christina (queen of Sweden) 129 236 Christoffel, Elwin Bruno 162 352 chromatic aberration 260 263 Chromatic scales 100 Chronology of the Ancient Kingdoms Amended (Newton) 273 274 Church, A.R., Phyllotaxis, Relations to Mechanical Laws 719 Cicero 179 184 Circle, area 14 40 97 101 174 Circle, circumference to diameter, ratio 63 Circle, combinations 226 Circle, diameter bisecting 81 82 Circle, dividing 15 80 Circle, equation 34 36 Circle, Greek geometricians 11 Circle, measuring 12 14—15 Circle, perimeter 209 Circle, planetary motion 226 Circle, projection and section 628 630 633 Circle, properties 92 Circle, satisfying three conditions 108 Circle, spiral 147 Circle, squaring 33 90 91 121 139 166 Circle, tangent 37 53 Circle, two intersecting 359 Circular motion, planetary 96 126 227 Circular orbit 52 Cissoid 91 Civil life, arithmetic needful to 215 Clairaut, Alexis Claude 59 151 Clarke — Leibniz controversy 683 687 Clarke, Gilbert 265 Classes, finite and infinite 538 Classes, numbers 65—66 Classes, similarity 540 Classification, mathematics 85—86 Classification, scientific 8 409 Clifford, William Kingdon, commentary on 546—547 Clifford, William Kingdon, quoted 647 Clifford, William Kingdon, “Mathematical Laws, The Exactness of” 548—551 Clifford, William Kingdon, “Pure Sciences, The Philosophy of the” 547 Clifford, William Kingdon, “Scientific Thought, On the Aims and Instruments of” 547 Clifford, William Kingdon, “Space Theory of Matter, On the” 547 568—569 Clifford, William Kingdon, “Space, The Postulates of the Science of” 552—567 Clocks, hands, rotation 715—716 Clocks, hands, rotation, mechanical 46 Co-ordinates 33 39 137 142 152 236 237 Cobb, H.E. 72 Codrington, R.H. 439 fn. Coexistence, On the Derivation of (Sylvester) 346 Cognition, theory of 647 648 Colburn, Zerah, mental calculations 465 471—472 473 478 483 485 Cole, F.N., factorization of large numbers 503 Collected Works (Ramanujan) 367 Collection (Pappus) 110 207 245 Collins, John 271 Colors, aggregate 655—656 657 Colors, natural 263 Combining volumes, law of 548 Comets, Halley's 144 Comets, orbits 268 Comma, use in numbers 459 Commensurable magnitudes, balance 195 Commercial prosperity, mathematics’ part in 5—6 Compass, Durer's invention 613 Complex integers, Gaussian 325 Complex multiplication 371 complex numbers 31 60 71 119 162 308—309 322 529 Complex unity 30 31 Complex variable, analytic functions 322—323 332 337 Composite numbers 101 Compound partitions, theory of 365 Computing machines 515—518 Computing machines, Babbage 517 Computing machines, complexity 441 Computing machines, computing 514 Computing machines, digital principal 517 Computing machines, electronic 503 504 Computing machines, Leibniz' 516 Computing machines, Pascal's 134 515 Conant, Levi Leonard, “Counting” 430 432—441 Concepts, generalizing 25 Conchoid 91 Concrete numbers 24 Cone, volume 94—95 97 Conformal mapping 337 Congruence 301—302 310 311 498 650 660 696—698 715 Congruence and similarity, relationships 639 Conic sections, construction 200—205 Conic sections, curve of order two 113 Conic sections, cutting from single cone 133 Conic sections, duality 636 Conic sections, focus of 126 Conic sections, geometry 103 107—108 112 Conic sections, Greek knowledge of 236 Conic sections, projection and section 630 633 Conic sections, second degree equations 34 Conic sections, solar system 52 Conic sections, solid problems 91 Conklin, Edwin G. 691 Connectivity, topology 587 Constants, arbitrary 35 Constants, meaning 38 Constants, motion 19 Constants, notation 131 Constants, relations 32 Constructive intuition, method of 649 Continued fractions 104 105 374 Continuity and Irrational Numbers (Dedekind) 525 Continuity, mathematics 507 Continuity, principle of 41 558—559 Continuity, straight line 528—529 Continuous aggregate 557 558 Continuous function 411 Convergence, uniform 108 Convex mirror, images in 661 662—663 665 Convivial Questions (Plutarch) 190 Coolidge, Julian Lowell, Geometrical Methods, A History of 169 fn. 236 Coolidge, Julian Lowell, Mathematics of Great Amateurs, The 601 fn. Coolidge, Julian Lowell, quoted 237 fn. Coolidge, Julian Lowell, “Binomial Theorem, The Story of” 519 fn. Coorant, Richard, biography 571 Coorant, Richard, “Topology” 581—599 Copernican system 109 553—554 Copernicus, Nicolaus, heliocentric theory 110 120 218 226 227 Copernicus, Nicolaus, Mercury, motions 229 Copernicus, Nicolaus, Orbium Coelestium, De Revolutionibus 218 232 Coplanar lines 102 Correspondence, one-to-one 540 Cosine 18 39 Cosmographicum, Mysterium (Kepler) 125 Cosmos, changes in conception of 553 Cotes, Roger 151 269 280 Counters 451 458 459 462 Counting see also “Calculation” Counting, animals' ability 433—434 Counting, art of 430—431 Counting, board 458 459 460 462 Counting, finger method 435 436—441 455 Counting, house 459 Counting, practical methods 435—436 Counting, primitive methods 434—435 Counting, sexagesimal method 89 Counting, table 456 covariants 355 Cowper, William, quoted 255 Cristus, Petrus 605 Criticism, three processes 404—495 Cross-cap 597
Реклама
|
|
О проекте