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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
Convergence, comparison test      276
Convergence, conditional      280
Convergence, infinite geometric series      274
Convergence, interval of      766
Convergence, n-th term test      270
Convergence, power series      766
convergence, ratio test      277
Convergence, selected series      271
Convergence, Simpson’s rule      959
Convergence, trapezoidal rule      952
CONVERSE      223
Conversion table, hyperbolic functions      545
Conversion table, trigonometric functions      475
Conversion/conversions, fractions      75 125
Conversion/conversions, half-angle tangent      512
Conversion/conversions, integrals, trigonometric/algebraic      740
Conversion/conversions, orthogonal/polar coordinates      577
Conversion/conversions, products, sums of functions      513
Conversion/conversions, spherical/orthogonal coordinates      584
Convex, polygon      392
Convex, polyhedron      396
Cooling      1005
Coordinate geometry      548
Coordinate system/systems, Cartesian      549
Coordinate system/systems, cylindrical      582
Coordinate system/systems, orthogonal      472 549
Coordinate system/systems, orthogonal/polar, transformation      887
Coordinate system/systems, polar, arc length      835
Coordinate system/systems, polar, plane      576
Coordinate system/systems, polar, space      582
Coordinate system/systems, rectangular      549
Coordinate system/systems, right-handed      607
Coordinate system/systems, spherical      583
Coordinate system/systems, vectors      607
Copernicus, N.      464 894
Correction factor, inversion      648
Correspondence      376
Corresponding angles      389 426
Cosecans hyperbolicus      534
Cosecant      470
Cosecant, curve      502
Cosecant, derivative      695
Cosecant, hyperbolic      534
Cosech, derivative      702
Cosh, derivative      702
Cosine/cosines      470
Cosine/cosines, curve      503
Cosine/cosines, derivative      695
Cosine/cosines, hyperbolic      534
Cosine/cosines, law of      483
Cosine/cosines, of x, power series expansion      773
Cosinus hyperbolicus      534
Cotangens hyperbolicus      534
Cotangent      470
Cotangent, curve      504
Cotangent, derivative      695
Cotangent, hyperbolic      534
Cotes, R.      581
Coth, derivative      702
Counting boards      168
Counting numbers      70
Counting rules, binary, basic      62
Courant, R.      936
Courses      491
Cramer, G.      639 668
Cramer’s Rule      668
Crandall, R.      333
Crelle, A.L.      301
Critical points      798 799 816
Crossing lines      387
Crunode      386
Cube/cubes      397 400 448
Cube/cubes, duplication      421
Cube/cubes, formulas      450
Cube/cubes, magic      214
Cube/cubes, twin cube      455
Cube/cubes, volume      446
Cubic equations      316
Cubic meter      409
Cubic numbers      292
Cuneiform symbols      35
Cup      238
Curve/curves      387
Curve/curves, anti-snowflake      629
Curve/curves, anti-square      629
Curve/curves, closed      379
Curve/curves, cosecant      502
Curve/curves, cosine      503
Curve/curves, cotangent      504
Curve/curves, family of      992
Curve/curves, Jordan      379
Curve/curves, length, curvilinear figures      440
Curve/curves, Peano      635
Curve/curves, secant      503
Curve/curves, sine      502
Curve/curves, snowflake      627 636
Curve/curves, snowflake, dimension      636
Curve/curves, tangent      504
Curvilinear figures, curve length      440
Curvilinear motion      896
Cusp/cusps      386 590
Cybernetics      909
Cyclic permutations      192
Cyclic quadrilateral, area      445
Cycloid/cycloids      590
Cycloid/cycloids, equations, parametric      591
Cylinder/cylinders, formulas      452
Cylinder/cylinders, surface, chromic number      204
Cylinder/cylinders, volume      446
Cylindrical coordinates      582
CYRIL, Saint      12
Cyrillic alphabet      12
Damped oscillations      1009
Damping constant/resistance      1011
Danish number names      24
Dase, Z.      94
Dating, radiocarbon      1002
de DECKER, E.      152
de FERMAT      see "FERMAT"
de FERMAT, P., amicable numbers      83
de FERMAT, P., analytic geometry      548
de FERMAT, P., combinatorics      184
de FERMAT, P., Fermat numbers      78
de FERMAT, P., history of calculus      675
de FERMAT, P., last theorem      333
de FERMAT, P., parabolic spiral      581
de FERMAT, P., prime numbers      78
de FERMAT, P., probability      963
de FERMAT, P., spiral of      581
de la Vallee-Poussin      see "VALLEE-POUSSIN"
de LAPLACE      see "LAPLACE"
de LAPLACE, P.S., determinants      639 648
de LAPLACE, P.S., history of calculus      680
de LAPLACE, P.S., normal distribution      979
de LAPLACE, P.S., probability      964
de LUNESCHLOS, J.      296
de L’HOSPITAL, G.F.      see "HOSPITAL"
de L’HOSPITAL, G.F., brachistochrone problem      590
de L’HOSPITAL, G.F., history of calculus      679
de L’HOSPITAL, G.F., L’Hospital’s rule      782
de MENDOZA, Antonio      60
de MOIVRE, A., complex numbers      791 793
de MOIVRE, A., normal distribution      979
de MOIVRE, A., probability      964
De Moivre’s Formula      791
de Moivre’s laws      250 254
de Moivre’s laws, Boolean algebra      254
de MORGAN, A., algebra of sets de Morgan’s laws      250
de MORGAN, A., four-color map problem      204
de MORGAN, A., proof by induction      158
de ROBERVAL, G.P.      590 675
Deca      54
Decadic      46
Decagon      392
Decagon, regular, Euclidean construction      416
Decay, radioactive      1001
Deceleration      897
December      19
Deci      54
Decimal comma      75
Decimal fractions      75
Decimal marker      75
decimal point      75
Decimal position system      46 48
Decimal system of measurement      52
Dedekind, J.W.R.      70 258
Deduction, proof by      158
Defective numbers      82
Deficient numbers      82
Definite integral      722 747
Definite integral, area      749
DEFOE, D.      32
Deformation      379
Degree/degrees, angle      410
Degree/degrees, centesimal      410
Degree/degrees, cyclic permutation      192
Degree/degrees, differential equation      992
Degree/degrees, polynomial      128
del Ferro, S.      316
DELAMAIN, R.      176 177
Delian problem      421
Deltoid      395
Denary      46
Denominator      74
Denominator, greatest common      126
Denominator, least common      125
Denominator, rationalizing      139
Density, probability, function      971
Denumerably infinite sets      258
Dependence, linear      1017
Dependent variable      336
Depression, angle of      494
Derivative/derivatives      685
Derivative/derivatives, algebraic functions      689
Derivative/derivatives, arccos      695
Derivative/derivatives, arccot      695
Derivative/derivatives, arccsc      695
Derivative/derivatives, arcosech      704
Derivative/derivatives, arcosh      704
Derivative/derivatives, arcoth      704
Derivative/derivatives, arcsec      695
Derivative/derivatives, arcsin      695
Derivative/derivatives, arctan      695
Derivative/derivatives, arsech      704
Derivative/derivatives, arsinh      704
Derivative/derivatives, artanh      704
Derivative/derivatives, composite functions      691
Derivative/derivatives, cosecant      695
Derivative/derivatives, cosech      702
Derivative/derivatives, cosh      702
Derivative/derivatives, cosine      695
Derivative/derivatives, cotangent      695
Derivative/derivatives, coth      702
Derivative/derivatives, exponential functions      699
Derivative/derivatives, functions, algebraic      689
Derivative/derivatives, functions, composite      691
Derivative/derivatives, functions, exponential      699
Derivative/derivatives, functions, logarithmic      699
Derivative/derivatives, functions, transcendental      695
Derivative/derivatives, fundamental trigonometric functions      695
Derivative/derivatives, inflection point      798
Derivative/derivatives, inverse trigonometric functions      697
Derivative/derivatives, linear functions      686
Derivative/derivatives, logarithmic functions      699
Derivative/derivatives, maximum      798
Derivative/derivatives, minimum      798
Derivative/derivatives, mixed partial      712
Derivative/derivatives, nonlinear functions      687
Derivative/derivatives, partial, mixed      712
Derivative/derivatives, power of a variable      689
Derivative/derivatives, product      690
Derivative/derivatives, quotient      691
Derivative/derivatives, secant      695
Derivative/derivatives, sech      702
Derivative/derivatives, sine      695
Derivative/derivatives, sinh      702
Derivative/derivatives, sum      690
Derivative/derivatives, tangent      695
Derivative/derivatives, tanh      702
Derivative/derivatives, transcendental functions      695
Desargues, G.      367 434
DESCARTES, R., amicable numbers      83
DESCARTES, R., analytic geometry      548
DESCARTES, R., Cartesian product      241
DESCARTES, R., equations      299
DESCARTES, R., history of calculus      675
DESCARTES, R., history of geometry      367 368 369
DESCARTES, R., logarithmic spiral      581
DESCARTES, R., polyhedron formula      448
DESCARTES, R., powers      134
DESCARTES, R., product notation      104
Descent, path, most rapid      590
Detachment, principle of      223
Determinant, coefficient      669
Determinants      637 646
Determinants, history      638
Determinants, properties      649
Determinate forms, limits      361
Determinate straight line      387
Deviation, standard      976
Diagonal/diagonals      392
Diagonal/diagonals, diagonals/sides, parallelogram      438
Diagonal/diagonals, face      396
Diagonal/diagonals, main, determinant      647
Diagonal/diagonals, main, matrix      641
Diagonal/diagonals, matrix      641
Diagonal/diagonals, principal, determinant      646
Diagonal/diagonals, principal, matrix      641
Diagonal/diagonals, secondary, determinant      646
Diagonal/diagonals, space      396
Diagram, Euler      242
Diagram, Venn      242
Diameter      391
Diameter, sphere      403
Difference      116
Difference, approximate values      163
Difference, boundary values      166
Difference, common, series      264
Difference, complex numbers      130 789
Difference, indeterminate      785
Difference, sets      239
Differentiability      693
Differential calculus      673 683
Differential equations      989
Differential equations, first-order ordinary      994
Differential equations, harmonic      1022
Differential equations, homogeneous      995
Differential equations, linear      1016
Differential equations, ordinary      991 994
Differential equations, partial      991
Differential equations, second-order ordinary      1015
Differentials      685
Differentiation, implicit      705
Differentiation, logarithmic      705
Differentiation, partial      710
Digamma      37
DIGITS      5
Digits, reliability      161
Digits, reliable      162
Digits, significant      50
1 2 3 4 5 6 7 8 9 10 11 12 13
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