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
Ptolemy of Alexandria, trigonometry 18 Pulley, compound, Archimedes' 181 187 Pure geometry 151 152 Pure mathematics, progress, 19th century 413 Pure mathematics, science of 402 Pure Mathematics, Synopsis of (Carr) 166 Pyramid, characteristic shape of fire 96 Pyramid, volume of 94—95 169 175 Pyramids, golden section 80 Pyramids, measurement 12 82 Pyramids, plans and models 79 Pyrite crystals, dodecahedron 720 Pythagoras, abstractions 416 Pythagoras, biography 82 Pythagoras, comments by Diogenes Laertius 189 Pythagoras, foundations of geometry and arithmetic 90 Pythagoras, geometry 14 189 Pythagoras, incommensurable quantities 16 17 Pythagoras, irrationals 87 97 Pythagoras, mathematical entities 409 Pythagoras, musical scale 85 189 Pythagoras, numbers, status of 408 Pythagoras, patterns and arrangements 163 Pythagoras, proportion, theory of 525 Pythagoras, ratios, equal 99 Pythagoras, right-angled triangle 188 190—192 408 Pythagoras, space-filling figures 86 Pythagoras, stratification 95 Pythagoras, unity of occasion 408 Pythagoreans, Order of the, motto 189 Pythagoreans, Order of the, numbers 506 Pythagoreans, Order of the, spherical shape 672 Pythagoreans, Order of the, symbol 83 88 125 Quadratic equations 29 86 88 89 91 115 116 249 253 350—351 Quadratic reciprocity, law of 301—302 310 325 Quadratrix curve 91 Quadratures, inverse of tangents 55 Quadratures, method of 40 90 Quadrivium of knowledge 86 Quantics 355 Quantity, space measurement 655 664 Quantity, symbol for 24 quantum mechanics 77 362 396 Quantum physics, wave laws 686 Quantum theory 146 414—415 Quartic curves 113 Quartic equation 119 Quaternions 76 161 162 163 164 332 396 Questions, topological 570—571 Quintic curves 113 Quintic equation 119 Quipus, computers 463 Quotient, differential 47 61 Radiation, electromagnetic 219 Radiolanans 708 720 Radius vector 218 Radius, abstract idea 14 Ramachandra Rao, R. 367 Ramachandra Rao, R., quoted 369 Ramanujan, Srinivasa see also ““Srinivasa Ramanujan” (Newman)” Ramanujan, Srinivasa, analytic theory of numbers 374 Ramanujan, Srinivasa, Collected Works 367 Ramanujan, Srinivasa, commentary on 366—367 Ramanujan, Srinivasa, complex multiplication 371 374 Ramanujan, Srinivasa, continued fractions 374 Ramanujan, Srinivasa, divergent series, theory of 369 370 Ramanujan, Srinivasa, elliptic integrals 369 Ramanujan, Srinivasa, hypergeometric series 369 Ramanujan, Srinivasa, induction 166 Ramanujan, Srinivasa, letter to G.H.Hardy, quoted 370 Ramanujan, Srinivasa, modular equations 374 Ramanujan, Srinivasa, partitions of n 167 Ramanujan, Srinivasa, partitions, congruence properties of 375 Ramanujan, Srinivasa, prime numbers 371 Ramanujan, Srinivasa, theorems 370—373 Ramanujan, Srinivasa, Zetafunction 374 Ramanujan, Srinivasa, “Bernoulli's Numbers, Some Properties of” 370 Raphael, “School of Athens” 623 625 626 Rational numbers 326 511 513 525 528 Rational primes 512 Rational reality, numbers 85 Rationals, ratios 64—65 Ratios, equal 99 117 Ratios, relations 65 Rays, Account of a Theory of Systems of (Hamilton), quoted 161 Reade, Winwood, quoted 553 Real numbers 34 50 63 65 96 534—536 Reasoning, chains of 6 42—43 Rechts-links, Problem 686 fn. Reciprocants, differential invariants 363 Reciprocation, duality 112 121 Recorde, Robert, algebra, introduction into England 23 Recorde, Robert, commentary on 210—211 Recorde, Robert, “Declaration of the Profit of, Arithmeticke” 212—217 Rectangle, area 174 Rectangle, measuring 12 Rectilinear motion, uniform 51—52 Rectilinear triangle, angles 551 Recurrence, importance 411 Redefinition, numbers 28 Reductio ad absurdum 89 Reduction and cancellation, science of 117 Reduction and restoration, algebra 23 Reflection, congruence 696 699 Reflexive symmetry 699 Refraction, law of 226 Regular solid 222 fn. Relationships, geometrical 404 relationships, one-to-one 540 Relative concepts 683 Relativism 69 Relativity, Hero, pioneer 110 Relativity, intersections of world-lines 352 Relativity, invariants 342 352 Relativity, mathematics of 334 Relativity, planet Mercury 128 Relativity, quaternions 396 Relativity, spacetime 359 Relativity, The ABC of (Russell) 379 Relativity, theory of 161 162 680 687 Repetitions, multiplication 24 Republic (Plato) 188 Revesz, G. 490 496 Rhetorical algebra 115 Rhetorical geometry 130 Rhind Papyrus, formulae 89 Rhind Papyrus, geometry 11 174—175 Rhind Papyrus, mathematical problems 79 171—178 Rhind Papyrus, The (Chace) 173 Rhind, A. Henry 170 Rhythm, infinite rapport 699 Rhythm, musical principle 702—703 Ricci, Curbastro 328 352 Ricriations mathimatiques et problemes des temps anciens et modernes (Ball) 243 fn. Riemann, Georg F.B., differential geometry 335 Riemann, Georg F.B., elementary flatness 566 Riemann, Georg F.B., elliptic geometry 159 639 Riemann, Georg F.B., functions, theory of 160 Riemann, Georg F.B., geometry assumptions analyzed 546 550 565 Riemann, Georg F.B., Geometry, On the Hypotheses That Lie at the Bases of 546 645 Riemann, Georg F.B., infinitesimal calculus 60 Riemann, Georg F.B., invariants 352 Riemann, Georg F.B., space geometry 546 547 Riemann, Georg F.B., space measurements 568 655 656 657—658 659 660 Right, double meaning of word 684 Right-angled triangle, area, finding 42 207 Right-angled triangle, Egyptian knowledge of 11 80 Right-angled triangle, Pythagorean theorem 188 190—192 408 Right-angled triangle, squares on the hypotenuse 189 Right-angled triangle, sum of squares 84 Rigid figures, mobility 657—658 Rigid motion 717 Rigid solids 665 Robbins, Herbert, “Topology” 581—599 Roberval, Gilles Personne 42 52 58 134 Robins, Benjamin 287 Rodler, Hieronymus 611 Rogers, William A. 370 Roman numerals 447—448 451 458 Romans, abacus 456 Romans, fractions, reducing 12 Romans, large number forms 450 Romans, mathematics, progress 18 Romans, number symbols 443 Romans, ordinate 33 Roots, equation 119 145 273 309 364 Roots, extractions 521—524 Roots, geometry 239 241 241 243 Rope stretchers, land surveyors 80 Rope, measuring right angles 11 Ross, G.R.T. 235 fn. Rosser, J.B. 510 Rotation, finite groups (table) 724 Rotation, imaginary numbers 309 Rotation, improper 713 723—724 Rotation, solid bodies 659 Rotation-plus-dilation 716 717 719 Rotational symmetry 672 673 687—688 705 712 713 714 Ruckle, Carl 478 479 480 Rudolph II (king of Bohemia) 125 224 225 230 Rudolphine tables 225 232 Russell, Bertrand A.W., arithmetic and logic 388 Russell, Bertrand A.W., commentary on 377—380 Russell, Bertrand A.W., descriptions, theory of 389 Russell, Bertrand A.W., Geometry, Essay on the Foundations of 377 Russell, Bertrand A.W., knowledge, theory of 391 Russell, Bertrand A.W., Leibniz, Philosophy of 378 388 Russell, Bertrand A.W., mathematical investigations 167 Russell, Bertrand A.W., Mathematical Philosophy, Introduction to 378 Russell, Bertrand A.W., Mathematics, The Principles of 378 Russell, Bertrand A.W., meaning and significance 389 Russell, Bertrand A.W., minimum vocabularies 390—391 Russell, Bertrand A.W., Mysticism and Logic 379 Russell, Bertrand A.W., Principia Mathematica 378 388 389 390 392 Russell, Bertrand A.W., Relativity, The ABC of 379 Russell, Bertrand A.W., universal 390 Russell, Bertrand A.W., Whitehead, association with 385 396 397 399 400 Russell, Bertrand A.W., writings 377 378—379 382 389 Russell, Bertrand A.W., writings, quoted 4 488 546 568 Russell, Bertrand A.W., “Definition of Number” 537—543 Russell, Bertrand A.W., “My Mental Development” 381—394 Russia, abacus 457—458 Russia, fractions, 17th century 172 Safford, Truman Henry, calculating prodigy 466 477—478 Salmon, George 151 161 Sambuca 182 182 183 Sand, number of grains, universe-size sphere 428 Sand-Reckoner (Archimedes) 106—107 418 42(M29 Sanford, Vera 509 Sanger, Charles 386 Santayana, George, quoted 581 Sarton, George, Science, A History of 169 Savages, finger counting 437 438—440 Schilpp, Paul Arthur 378 fn. 395 Schlosser, Julius von 685 fn. Schreiber, Heinrich (Grammateus) 618 Schumacher, Heinrich Christian 331 476 Schur, theory of groups 77 Science and the Modern World (Whitehead) 398 399 Science Awakening (Van der Waerden) 169 fn. Science, A History of (Dampier) 646 fn. Science, A History of (Sarton) 169 fn. Science, biological 413 Science, business methods 10 Science, communication of 10 Science, economy of 9—10 69 Science, observational methods 405 Science, Pioneers of (Lodge) 219 Science, universal language 255 Scientific astronomy 14 Scientific classification 8 Scientific laws, invariance 640 Scotland, mathematics 118 120 Scripture, E.W. 467 fn. 471 478 Sea, casualties 5—6 Sea, flux and reflux 149 Secant, limiting position 61 Secant, tangent 36 37 Section, projection 623—639 Segre, geometry 134 Selberg, A., prime number theorem 507 Semicircle, angle in 81 Semiregular solids 107 127 Senk, Herbert 671 fn. Sequence, limit of 62 63 Series, numbers 63 Seshu Aiyar, P.V. 367 368 370 Sesostris (king of Egypt), land division 79 Sexagesimal method of counting 89 Shakespeare, William, quoted 306 fn. 568 603 Shaw, George Bernard, quoted 573 Shell, symmetry 715 717 Ship distances, measuring 15 82 Shortest distance, point to ellipse 131 Shortest line between two points 651 654 Sidgwick, Henry 386 396 Sight, angle measurement 17 Sign language, counting 434—435 Signs, distinguishing 12 13 Similarity, congruence 682 695 696 715 Similarity, postulate of 564 Simplification, process 23 Simson, Robert 102 559 Simultaneous equations 36 Simultaneous speeds 142 Sine 18 39 Sinister, left 684 Six points, involution of 112—113 Six, occult property 221 Slates, use in Europe 459—460 Smith, Adam 267 Smith, David Eugene 210 fn. 211 430 Smith, David Eugene, Mathematics, A Source Book in 291 fn. Smith, David Eugene, Mathematics, History of 454 fn. Smith, David Eugene, Numbers and Numerals 430 442—464 Smith, Edwin 170 Smith, Henry J.S. 160 362 509 Smith, Sidney, quoted 111 498 Snell, Willebrod 226 Snow crystals, symmetry 712 Socrates 95 235 Solid space, aggregate of directions 560 Solid space, aggregate of surfaces 556 Solid space, geodesic lines 564 Solids, angle 560 Solids, body 658 659 Solids, boundary of 555 Solids, five regular 86 96 101 107 127 222 Solids, immersed in a fluid 185—186 188 199—200 Solids, measurement 12 Solids, Platonic 719 Solids, semi-regular 127 207 Sound, due to impact 100 Sound, Newton's theory 412 South America, early computing methods 462—463 South America, numeral words 432 Space see also “Solid space” Space, absolute 360 Space, co-ordinates of a point in 37 Space, conception 69
Реклама
|
|
О проекте