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Gullberg J. — Mathematics: from the birth of numbers
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Название: Mathematics: from the birth of numbersАвтор: Gullberg J. Аннотация: A gently guided, profusely illustrated Grand Tour of the world of mathematics. This extraordinary work takes the reader on a long and fascinating journey — from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, and assorted other mathematical byways. The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology. Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings. Over 1000 technical illustrations and cartoons and drawings
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1997Количество страниц: 1110Добавлена в каталог: 22.11.2014Операции: Положить на полку |
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Saint Peter’s game 184 Salient angle 392 Salient point 386 Sample, ordered 187 Samples, replacement 199 SAN 37 SANCTORIUS, S. 624 Sanskrit 9 Sanskrit, number names 26 SARRUS, J.P. 647 Sarrus’s rule 647 Satisfy, equation 302 Sawbuck 43 scalar 602 Scalar matrix 641 642 Scalar multiple 602 Scalar product theorem 614 Scalar products 614 Scalar triple product 622 Scalene triangle 392 SCHEDEL, H. 41 SCHWARTZ, F. 682 Scientific notation 53 Scientific notation, reliable digits 162 Scientific rounding 165 Scots number names 22 23 Secans hyperbolicus 534 Secant 387 470 Secant, circle 391 Secant, curve 503 Secant, derivative 695 Secant, hyperbolic 534 Secant, secant-tangent theorem 439 Sech, derivative of 702 Secondary diagonal 646 Seconds, angle 410 Section, divine 418 Section, golden 418 Sector, circle 391 Sector, circle, area 442 Sector, spherical 404 Seed, Newton’s method 941 Segment, circle 391 Segment, circle, area 442 Segment, line/lines 387 Segment, line/lines, equal, Euclidean construction 413 Segment, line/lines, graphs, network 202 Segment, line/lines, midpoint, Euclidean construction 413 Segment, line/lines, spherical 403 SEKIKOWA 639 Self-similar, fractals 626 Semaphores 68 Semi-regular polyhedra 399 Semilune 404 Semis 16 Senary 46 September 19 Septenary 46 SEQUENCE 263 see Sequence, Fibonacci 286 Sequence, Lucas 287 Sequence, Pell number 288 Series 263 Series, alternating 264 Series, alternating, convergence 280 Series, arithmetic 264 Series, convergent 265 Series, divergent 265 Series, finite 265 266 Series, finite arithmetic 266 Series, finite geometric 268 Series, Fourier 910 Series, geometric 264 Series, harmonic, finite 266 Series, infinite 265 270 Series, infinite geometric 274 Series, Maclaurin’s 769 Series, power 765 Series, power, convergence 766 Series, Taylor’s 767 SERVOIS, F.-J. 133 Set/sets, algebra 249 Set/sets, builder 235 Set/sets, Cantor, fractals 630 636 Set/sets, contents 233 Set/sets, denumerably infinite 258 Set/sets, finite 234 Set/sets, infinite 234 Set/sets, Julia 633 Set/sets, Mandelbrot 633 Set/sets, non-denumerably infinite 260 Set/sets, power 238 Set/sets, product 241 Set/sets, theory 231 Sexagesimal numeration 46 56 Sextans 16 Sextilis 19 Shanks, W. 94 Sharp, A. 94 Shell method, volume 877 SHRIRKHANDE, S.S. 195 Si 52 Side condition, functions 822 Sierpinski carpet 631 636 Sierpinski carpet, dimension 636 Sierpinski sponge 631 636 Sierpinski sponge, dimension 636 Sierpinski triangle 631 636 Sierpinski triangle, dimension 636 Sierpinski, W. 631 Sieve of Eratosthenes 77 Sight, angle of 494 Sight, line of 494 Sighting angle 494 SIGN see "Symbol" Sign language, manual 67 Significance level 970 Significant digits 50 Similar terms 128 Similar triangles 427 Similarity 376 Similarity, dimension 636 Simplified form, radical 139 Simplifying Boolean expressions 254 Simpson, T. 955 Simpson’s rule 955 957 Simpson’s rule, boundary estimation 959 Simpson’s rule, convergence 959 Simson, R. 287 Sine 470 Sine curve 502 Sine of x, power series expansion 771 Sine, derivative 695 Sine, hyperbolic 534 Sines, law of 480 Singular matrix 656 Sinh, derivative 702 Sinus hyperbolicus 534 Size, permutation 188 Skew lines 387 Skew-Hermitian matrix 658 Skew-symmetric matrix 654 Slide rule 176 Slide rule, calculations 180 Slide rule, construction 178 Slide rule, history 176 Slope-intercept equation 553 Small circle 403 SMITH, L.R. 94 Snowflake curve 627 636 Snowflake curve, dimension 636 Soap film 538 soccer ball 399 Solid angles, measurements 411 Solid geometry 376 Solid geometry, theorems 446 Solids of revolution 403 Solids, known cross section, volume 885 Solids, Platonic 397 398 Solution/solutions, complementary 1024 Solution/solutions, complementary, extraneous, trigonometric equations 523 Solution/solutions, complementary, lost, trigonometric equations 525 Soroban 169 Sosigenes 18 Space diagonal 396 Space-time 904 Spanish number names 20 Special theory of relativity 904 Speed 897 Sphere 403 Sphere, armillary 463 Sphere, celestial 463 Sphere, formulas 452 Sphere, magic 213 Sphere, surface area 863 Spherical cap 403 Spherical coordinates 583 Spherical excess 404 Spherical layer 403 Spherical lune 404 Spherical polygon 404 Spherical sector 404 Spherical segment 403 Spherical segments, formulas 452 Spherical triangle 404 Spherical triangles, formula 453 Spherical triangles, law of cosines 485 Spherical triangles, law of sines 482 Spherical wedge 404 Spherical zone 403 Spherical/orthogonal coordinates, conversions 584 Spheroid 405 Spiral/spirals, Archimedes 579 Spiral/spirals, equiangular 580 Spiral/spirals, hyperbolic 580 Spiral/spirals, logarithmic 580 Spiral/spirals, parabolic 581 Spiral/spirals, plane 579 Spiral/spirals, three-dimensional 595 Sponge, Menger 632 Sponge, Sierpinski 632 Spring constant 1008 Spring constant as 1/capacitance 1011 Square/squares 395 Square/squares, area 441 Square/squares, Euclidean construction 415 Square/squares, Latin 195 Square/squares, magic 205 Square/squares, matrix 640 Square/squares, meter 409 Square/squares, numbers 290 Square/squares, pyramidal numbers 293 Squaring lunes 422 Squaring the circle 422 SR 412 Stable point (iteration of functions) 348 Standard deviation 976 Standard deviation, form, equation 305 Standard deviation, form, equation, line 555 Standard deviation, normal distribution 983 Star of David 420 statements 220 Stationary points 798 799 Statistics 962 Steradian 412 Stevin, S. 134 600 Stifel, M. 134 135 150 299 Stirling, J. 770 Stochastic phenomena 962 STOR, L. 373 396 STORM P. (PETERSEN) 337 354 STRABO (STRABON) 467 Straight angle 388 Straight line 387 Straight lines, equations 553 Straight lines, polar equations 578 Strategy 965 STRINDBERG, A. 682 Style, rhetorical 298 Style, syncopated 298 Suan-pan 169 Subset/subsets 237 Substitution, integration by 733 Substitution, law 132 224 Substitution, symbol, integration 749 Substitution, trigonometrical functions/algebraic expressions 738 Subtraction, complex numbers 789 Subtraction, fractions 125 Subtraction, fundamental operations 116 Subtraction, matrices 642 Subtraction, polynomials 129 Subtraction, symbols of 102 Subtraction, vectors 606 Subtractive notation 32 Subtractive notation, Roman 40 Subtrahend 116 Sum/sums 115 Sum/sums, angles of triangle 428 Sum/sums, approximate values 163 Sum/sums, boundary values 166 Sum/sums, complex numbers 130 789 Sum/sums, derivative 690 Sum/sums, finite arithmetic series 267 Sum/sums, functions, conversion to products 513 Sum/sums, geometric finite series 268 Sum/sums, infinite geometric series 274 Sum/sums, partial 271 Sum/sums, Riemann 747 Sum/sums, vectors 603 Sumerian numeration 35 Summation symbol 105 Super-ellipse 571 Supertetrahedral numbers 294 Supplementary angles 388 Supplementary angles, trigonometric functions 474 Supplementary laws, Boolean algebra 253 Surds 139 Surface area, minimal 538 Surface area, torus 866 Surface of revolution 860 Surfaces, one-sided 380 surveying 490 Swedish number names 25 Syllogisms 227 Sylvester, J.J. 639 Symbol/symbols, addition 102 Symbol/symbols, aggregation 122 Symbol/symbols, cuneiform 35 Symbol/symbols, division 104 Symbol/symbols, equality 107 Symbol/symbols, factorial 106 Symbol/symbols, greater than 109 Symbol/symbols, grouping 122 Symbol/symbols, identity 108 Symbol/symbols, inequality 108 Symbol/symbols, less than 109 Symbol/symbols, multiplication 104 Symbol/symbols, operation 101 Symbol/symbols, product 105 Symbol/symbols, proportion 110
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