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Gullberg J. — Mathematics: from the birth of numbers
Gullberg J. — Mathematics: from the birth of numbers



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Название: Mathematics: from the birth of numbers

Автор: 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: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 1110

Добавлена в каталог: 22.11.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
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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