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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
BEVERLEY, William      209
Bezout, E.      304
Bhaskara      91 289
BHASKARA, Pythagorean theorem      436
Bifurcation point      348
Billion, U.S.      28
BINARY      46
Binary, counting rules, basic      62
Binary, numeration      62
Binet formula      288
BINET, J.-P.-M.      288
Binomial/binomials      128
Binomial/binomials, coefficient      196
Binomial/binomials, distribution      969
Binomial/binomials, expansion, power series      775
Binomial/binomials, linearly dependent      663
Binomial/binomials, linearly independent      663
Binomial/binomials, theorem      140
Biquadratic Equations      311
Birectangular      404
BIS      16
Bisection method      935
Bisection method, flow chart      940
bisector      389
Bisector, angle, Euclidean construction      414
Bisector, triangle      439
Bit/bits      54
Blocks of elements, systems      198
Bolyai, J.      369 382
BOMBELLI, R., imaginary numbers      87
BOMBELLI, R., powers      134
BOMBELLI, R., radical notations      135
Boole, G.      216 252
Boolean algebra      252
Boolean constants      220
Boolean expressions, simplifying      254
BORREL, J.      108
Borromean rings      786
Bose, Raj Chandra      195
Bottle, Klein      380
Bouguer, P.      109
Boundary estimation, Simpson’s rule      959
Boundary estimation, trapezoidal rule      952
Boundary values, calculation with      166
Boundedness laws, Boolean algebra      253
Braces      122
Brachistochrone problem      590
Brackets      122
Brahe, T.      152 894
BRAHMAGUPTA, $\pi$      91
BRAHMAGUPTA, equations      298
BRAHMAGUPTA, negative numbers      72
Braille      66
BRAILLE, L.      66
Branchion’s theorem      434
Brianchon, C.J.      434
Bridges, Koenigsberg      201
Briggs, H.      152
Briggs’s logarithms      155
Bring, E.S.      300
Broken line      387
Brouwer, L.E.J.      370
Buck      43
Buergi, J.      153
Buhler, J.      333
Buteo, J.      108
Byte/bytes      54
c, continuum      262
C-bill      43
C-note      46
CAESAR, G.J.      18
Calculations, reliability      161
Calculators, trigonometric values      476
Calculus, differential, definition      673
Calculus, fundamental theorem      748
Calculus, history      674
Calculus, infinitesimal      673
Calculus, integral      673 721
Calculus, of variations, definition      673 681
Calendar, Gregorian      18
Calendar, Julian      18
Calendar, Mayan      59
Calendar, Roman Republican      18
Calendar, ten-month      17
CAMERARIUS, J.      425
Cancellation laws      133
Cantor set, fractals      630 636
Cantor set, fractals, dimension      636
Cantor, G.      232 257
CANTOR, G., Cantor set      630
Cap, spherical      403
Capacitance      1011
CARDANO, G., equations      299 316
CARDANO, G., imaginary numbers      87
CARDANO, G., negative numbers      73 87
CARDANO, G., probability      963
CARDANO, G., radical notations      135
Cardinal numbers      5
Cardinal points      499
Cardioid      859
Carpet, Sierpinski      631
Carroll, L.      227
Cartesian coordinates system      549
Cartesius      see "DESCARTES"
Casting out nines      123
Casus irreducibilis      319
Catenary      538 831
Catenary, length      831
Catenoid      538
Cat’s cradle      370
CAUCHY, A.L., determinants      639
CAUCHY, A.L., functions      345
CAUCHY, A.L., history of calculus      680
CAUCHY, A.L., mean-value theorem      718 719
CAUCHY, A.L., ratio test      277
Cauchy’s mean-value theorem      718
CAVALIERI, B., history of calculus      674
CAVALIERI, B., theorem of      456
Cavalieri’s theorem      446
Cayley, A.      202 204 639
Celestial sphere      463
Celsius, A.      466
Celtic languages      21
Center of circle, Euclidean construction      413
Center of convergence      767
Center of mass      838 845
Center of mass, solids of revolution      845
Center of sphere      403
Centesimal degree      410
Centi      54
Central angle      391
Central tendency      974
Centroid/centroids      837 see
Centroid/centroids, lamina, formula      845
CGPM      53
Chain rule, derivatives, composite functions      691
Chain rule, of inference      227
Changing, base, logarithms      156
Changing, limits, integration      750
Chaos      348
CHAPPE, C.      68
Characteristic      155
Characteristic, equation      1018
Characteristic, Euler’s      448
Chebyshev, P.L.      964 977
Chebyshev’s theorem      977
CHENG TA-WEI      208
Chessboard, geometric series      270
Chessboard, magic squares      208
CHESTER, Robert of      49
Chinese mercantile numerals      45
Chinese numerals, traditional      44
Chinese numeration      44
Chinese official numerals      45
Chinese rod numerals      51
Chord      387
Chord, circle      391
Chord, sphere      403
Chord, theorem      438
Chromic number      203
Chu Shih-Chieh      141
Chuquet      135
Cipher      26
Circle/circles      406
Circle/circles, arc length      440
Circle/circles, area      442 853
Circle/circles, center, Euclidean construction      413
Circle/circles, circumference      440
Circle/circles, definition      390 559
Circle/circles, equations      559 568 586
Circle/circles, equations, parametric      586
Circle/circles, great      403
Circle/circles, magic      213
Circle/circles, parallel, torus      405
Circle/circles, polar equation      578
Circle/circles, sector, area      442
Circle/circles, segment, area      442
Circle/circles, small      403
Circle/circles, squaring      422
Circuits, logic      229
Circuits, logic, equivalent switch      230
Circumcenter, triangle      432
Circumference, definition      390
Circumscribed circles, radii      440
Classical Greek number names      10 13
Classical logic      216
Clausen, T.      94
Closed curve      379
Closed half-line      387
Closed interval      111
Codex Mendoza      60
Coefficient/coefficients, algebra      114
Coefficient/coefficients, binomial      196
Coefficient/coefficients, determinant      669
Coefficient/coefficients, Fourier      910
Coefficient/coefficients, matrix      662
COETS, H.      413
Cofactor/cofactors      648
Cofactor/cofactors, inverse of a matrix      659
Cofunction identities      507
Cohen, P.J.      262
Collinear      434
Column index, determinant      646
Column index, matrix      640
Column, matrix      640
Column, vector      641
Combinations      196
Combinatorial geometry      184
Combinatorics      183
Combinatorics, history      184
Comma, decimal      75
Common denominator, greatest      126
Common denominator, least      125
Common difference, series      264
Common divisor      303
Common factor      303
Common fractions      74
Common logarithms      155
Common notations, Euclidean      381
Common ratio, series      264
Commutative laws      132 249 252
Commutative laws, Boolean algebra      252
Commutative laws, sets      249
Commutative properties, vectors      615 619
Complement      240
Complement laws, Boolean algebra      253
Complementary angles, trigonometric functions      471
Complementary solution      1024
Completing the square      310
Completing the square, integration      726
Complex conjugate matrix      658
Complex matrix      658
Complex number plane      87 708
complex numbers      71 87 131 787
Complex numbers, conjugate      131
Complex numbers, logarithms of      794
Complex numbers, polar form      788
Complex numbers, powers of      791
Complex numbers, principal logarithm of      795
Complex numbers, roots of      793
Components, ordered      241
Components, vector product      618
Components, vectors      608
Composite functions      345
Composite functions, derivatives      691
Composite functions, magic squares      210
Composite functions, numbers      77
Compound interest      1003
Compound-angle identities      509
Concave, downward      798 801
Concave, polygon      392
Concave, polyhedron      396
Concave, upward      798 801
Conclusion      222 227
Concurrent vertices      434
Condition, Dirichelet’s      910
Conditional convergence      280
Conditional equation      303
Conditional inequality      109 312
Conditional probability      966
Cone/cones      402
Cone/cones, formulas      452
Cone/cones, volume      447
Congruence      376
Congruent triangles      427
Conic sections      406 559
Conics      406 408 559
Conics, vertex equation      568
Conjecture/conjectures, Goldbach      81
Conjecture/conjectures, Kepler’s      184
Conjugate, binomial surds      139
Conjugate, complex numbers      131
Conjunctions      221
Consequent      110
Constant-coefficient linear differential equations, homogeneous      1018
Constant-coefficient linear differential equations, nonhomogeneous      1024
Constant/constants, algebra      114
Constant/constants, Boolean      220
Constant/constants, Euler’s      273
Constant/constants, integration of      722
Constant/constants, Ludolphine      93
Constant/constants, proportionality      349
Constant/constants, spring      1008
Constant/constants, term, polynomial      128
Constant/constants, variation of, method      1025
Constraint, functions      822
Construction, Euclidean      413
Continued fractions      127
Continued fractions, root extraction      143
Continuity and limits      355
Continuous, dilution      1004
Continuous, function      355
Continuum Hypothesis      262
Contraction, length      904
Contradiction, principle of      216
Contrapositive      223
Convergence      270
Convergence, absolute      280
Convergence, alternating series      280
Convergence, center of      766
1 2 3 4 5 6 7 8 9 10 11 12 13
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