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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
Existential quantifier      221
Expansion, determinants, Laplace      648
Expansion, functions, even      918
Expansion, functions, odd      919
Explicit form, function      339
Exponent, power      136
Exponential equations      314
Exponential form, fundamental trigonometric functions      470
Exponential functions      353
Exponential functions, derivatives      699
Expression/expressions, algebraic      128
Expression/expressions, Boolean, simplifying      254
Extended mean-value theorem      718
Exterior angles      389
External force/electromotive force      1011
Extraction, roots      141
Extraneous solutions, trigonometric equations      523
Extrema and critical points      797
Extreme/extrema, endpoint      804
Extreme/extrema, functions      341
Extreme/extrema, relative      799
Extreme/extrema, two or more independent variables      815
Extremes      111
Face, diagonal      396
Face, lateral, prism      400
Face, lateral, pyramid      400
Factor/factors      303
Factor/factors, common      303
Factor/factors, integrating      996
Factor/factors, prime      303
Factor/factors, theorem      304
Factorial symbol      106
Factorial tree      186
Factoring      303
Factoring quadratic equations      309
Factoring trigonometric equations      519
Fall through resisting medium      1007
Family of curves      992
Faulhaber, J.      212
FEISTHAMEL      209
Femto      54
Ferguson, D.F.      94
Fermat numbers      78
Fermat prime-testing method      80
Fermat’s Last Theorem      333
Fermat’s spiral      581
Ferrari, L.      299 320
Fibonacci Association      288
Fibonacci numbers      287
Fibonacci sequence      286
FIBONACCI, L., $\pi$      91
FIBONACCI, L., Fibonacci numbers      286
FIBONACCI, L., Hindu-Arabic numerals      50
FIBONACCI, L., prime numbers      77
FIBONACCI, L., quations      299
FIBONACCI, L., trigonometry      464
Field      71
Fifteen puzzle      193
Figurate numbers      289
Figurate numbers, four dimensions      293
Figurate numbers, higher dimension      294
FINCKE, T.      461 465
FINCKE, T., law of tangents      486
Finite decimal fractions      76
Finite series      266
Finite sets      234
First minor      648
First-order ordinary differential equations      994
Fisher, R.A.      964
Flat angle      388
Flow chart, bisection method      940
Flow chart, Newton’s method      946
Fluid ounce      409
Focus, conic sections      406
Focus, ellipse      390
Focused perspective      372
Fontana, Niccolo      see "TARTAGLIA"
Foot      409
Foot, U.S., definition      52
force      611 896
Force, external, as electromotive force      1011
Force, vectors      605
Forced oscillations      1010
Formula/formulas      see also "Theorem"
Formula/formulas, basic integration      724
Formula/formulas, Binet      288
Formula/formulas, boundary, trapezoidal rule      952
Formula/formulas, center of mass, solids of revolution      845
Formula/formulas, centroid, lamina      845
Formula/formulas, de Moivre’s      791
Formula/formulas, distance      550
Formula/formulas, Euler’s      507 792
Formula/formulas, Heron’s      444
Formula/formulas, Maclaurin’s      769
Formula/formulas, quadratic      311
Formula/formulas, quadrature      947
Formula/formulas, Taylor’s      767
Four simple rules of arithmetic      113
Four-color map theorem (problem)      203
Fourier coefficients      910
Fourier series      910
Fourier, J.B.J.      336
FOURIER, J.B.J., harmonic analysis      909
Fractals      625
Fraction/fractions      5 74
Fraction/fractions, Archimedes’ system      38
Fraction/fractions, basic counting rules      125
Fraction/fractions, common      74
Fraction/fractions, continued      127
Fraction/fractions, continued, root extraction      143
Fraction/fractions, conversion      75 76 125
Fraction/fractions, decimal      75
Fraction/fractions, Egyptian numeration      34
Fraction/fractions, Latin number names      16
Fraction/fractions, partial      130
Fraction/fractions, proper      74
Fraction/fractions, Roman numeral system      42
Fraction/fractions, sexagesimal      57
Fraction/fractions, unit      126
Fractional equation      307 309
Fraktur      19
Franklin, B.      208
Franklin, Ph.      204
Fredholm, E.I.      682
Free oscillations      1008
Frege, G.      216 235
French number names      20 24
Friction coefficient/resistance      1011
Friendly numbers      82
Frustum, cone      402
Frustum, pyramid      400
Full angle      388
Function/functions, algebraic      348
Function/functions, algebraic, derivatives      689
Function/functions, arcus      477
Function/functions, calculations with      343
Function/functions, composite      345
Function/functions, constraint      822
Function/functions, continuous      355
Function/functions, definition      336
Function/functions, discontinuous      355
Function/functions, discontinuous expansion, Fourier series      915
Function/functions, distribution, normal      979
Function/functions, elementary      348
Function/functions, even, expansion      918
Function/functions, even/odd      340
Function/functions, explicit form      339
Function/functions, exponential      353
Function/functions, exponential, derivatives      699
Function/functions, half-angle      512
Function/functions, history      336
Function/functions, hyperbolic      533
Function/functions, hyperbolic, derivatives      702
Function/functions, hyperbolic, inverse      539
Function/functions, hyperbolic, inverse, derivatives      704
Function/functions, implicit form      339
Function/functions, inverse hyperbolic, derivatives      704
Function/functions, inverses      346
Function/functions, linear      349
Function/functions, logarithmic      354
Function/functions, logarithmic, derivatives      699
Function/functions, normal distribution      979
Function/functions, odd, expansion      919
Function/functions, odd/even      340
Function/functions, one-to-one      346
Function/functions, polynomial      348
Function/functions, power      350
Function/functions, power, integration      723
Function/functions, probability, density      971
Function/functions, quadratic      351
Function/functions, rational      348
Function/functions, restrictions      822
Function/functions, Riemann zeta      778
Function/functions, transcendental      349
Function/functions, transcendental, derivatives      695
Function/functions, transcendental, expansion      771
Function/functions, trigonometric, fundamental      470
Function/functions, trigonometric, inverse      477
Functional equation      354
Fundamental hyperbolic functions, graphs      537
Fundamental theorem of algebra      299 305
Fundamental Theorem of Arithmetic      78
Fundamental theorem of calculus      748
Fundamental trigonometric functions      470
Fundamental trigonometric functions, derivatives      695
Fundamental trigonometric functions, exponential form      470
Fundamental trigonometric identities      507
G, grand      43
GAFURIUS, F.      922
GALILEI, G., combinatorics      184
GALILEI, G., history of calculus      674
GALILEI, G., introduction to transfinite numbers      257
GALILEI, G., motion      893
Gallon      409
Galois, E.      301
Galton, F.      979
Game, fifteen puzzle      193
Game, Saint Peter’s      184
Game, theory      965
GAULLAUDET, T.H.      67
Gauss — Jordan elimination      662
Gauss — Jordan reduction      662
GAUSS, C.F., complex numbers      88
GAUSS, C.F., determinants      639
GAUSS, C.F., Fermat’s last theorem      333
GAUSS, C.F., fundamental theorem of algebra      299 300
GAUSS, C.F., large numbers      30
GAUSS, C.F., Latin      19
GAUSS, C.F., modular arithmetic      123
GAUSS, C.F., non-Euclidean geometry      369 382
Gauss, C.F., normal distribution      979
GAUSS, C.F., prime number theorem      80
GAUSS, C.F., regular heptadecagon      417
GAUSS, C.F., regular polygons      417
GAUSS, C.F., row operations      661
GAUSS, C.F., statistics      964
GAUSS, C.F., vector history      600
Gaussian distribution      979
Gaussian elimination      661
Gaussian reduction      661
GB      55
GCD      126
GEMMA FRISIUS, R.      116
General Conference, Weights/Measures      53
General form of algebraic polynomial equation      305
General form of equation for line      555
General power rule      692
General solution, differential equation      992
General term, series      264
General theory of relativity      904
Generalized mean-value theorem      718
Generator      401
Generatrix      401
Genus, surface      379
Geocentric system      894
Geodesic      491
geoid      491
Geometric abstraction      370
Geometric mean      111 268
Geometric series, finite      268
Geometry/geometries, analytic      547
Geometry/geometries, analytic, history      548
Geometry/geometries, combinatorial      184
Geometry/geometries, coordinate      548
Geometry/geometries, elementary, definition      376 386
Geometry/geometries, elliptic      383
Geometry/geometries, Euclidean      381
Geometry/geometries, Euclidean, definition      376
Geometry/geometries, history      364
Geometry/geometries, hyperbolic      382
Geometry/geometries, infinitude of      384
Geometry/geometries, non-Euclidean      376 381
Geometry/geometries, parabolic      382
Geometry/geometries, plane, definition      376
Geometry/geometries, Riemann      383
Geometry/geometries, solid, definition      37
Geometry/geometries, types of      377
Gerard of Cremona      461 463
Germain, S.      334 681
German number names      25
Germanic languages      25
GHALIGAI      135
Gibbs, J.W.      601
Giga      54
Gigabyte      55
Gnomons      291
Gobar      50
Goedel, K.      160 262
Goldbach conjectures      81
Goldbach, C.      81
Golden number      287
Golden ratio      418
Golden rectangle      419
Golden section      418
Golden triangle      419
Gon      410
Googol      29
Googolplex      29
Grand      43
Graph theory      184 201
Graph, network      202
Graphical interpolation      927
Graphs, fundamental hyperbolic functions      537
Graphs, inverse hyperbolic functions      539 540
Graphs, trigonometric functions      502
GRASSMANN, G.      601
Great circle      403
Greater than, symbol      109
Greatest common denominator      126
Greek      10
Greek, alphabet      11
Greek, number names      10
Greek, numeration      36
Greek, transliteration      12
Greenlandic number names      7
Greenwich meridian      491
Gregorian calendar      18
GREGORIE, J.      93 301 768
GREGORIUS XIII      18
GREGORY XIII      18
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