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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
KEPLER, J., Guldin’s first rule      866
KEPLER, J., history of calculus      674
KEPLER, J., logarithms      152
KEPLER, J., motion      894
KEPLER, J., Platonic solids      398
KEPLER, J., semi-regular polyhedra      399
KEPLER, J., volume, wine barrels      872
Kepler’s conjecture      184
Kepler’s laws, motion      894
Kilo      54
Kilobyte      55
KIRKHAM, T.P      198
Kites      395
Klein bottle      380 204
KLEIN, F., classification of geometries      382
KLEIN, F., Erlangen program      370
KLEIN, F., Klein bottle      380
Knight, magic squares      208
Knots, topology      379
Koenigsberg bridges      201
Kolmogorov, A.N.      965
KOPERNIK, M.      see "COPERNICUS"
KOVALEVSKI, S.      682
KRAMP, Ch.      106
Kronecker, L.      71
KYRILLOS      12
l'homme moyen      979
L'HUILIER, S.      780
LABOCHEVSKI, N.I.      369 382
Ladin      21
LAGRANGE, J.L., derivative, notation of      686
LAGRANGE, J.L., determinants      639
LAGRANGE, J.L., figurate numbers      291
LAGRANGE, J.L., history of calculus      680
LAGRANGE, J.L., mean-value theorem      716
LAGRANGE, J.L., multipliers      873
LAGRANGE, J.L., partial derivative, notation of      710
LAGRANGE, J.L., prime number theorem      80
LAGRANGE, J.L., probability      964
LAGRANGE, J.L., sixtic equation      300
LAGRANGE, J.L., variation of constants      1025
Lagrange’s mean-value theorem      716
Lagrange’s method of multipliers      823
Lagrange’s multiplier      823
LAMBERT, J.H., history of geometry      367 369
LAMBERT, J.H., hyperbolic functions      534
Lamina, centroid      842
LAMlS, G.      127 334
Language/languages, Arabic      4
Language/languages, Austronesian      4
Language/languages, Celtic      21
Language/languages, Classical Greek      4 10
Language/languages, Danish      24
Language/languages, Dutch      25
Language/languages, English      26
Language/languages, Etruscan      15
Language/languages, French      20 24
Language/languages, German      25
Language/languages, Germanic      25
Language/languages, Greek      4 10
Language/languages, Greenlandic      4 7
Language/languages, Icelandic      25
Language/languages, Indo-European      9
Language/languages, Inuepik      4 7
Language/languages, Irish      22 23
Language/languages, Italian      20
Language/languages, Ladin      21
Language/languages, Latin      14
Language/languages, Maori      9
Language/languages, Middle English      4 5 26
Language/languages, Modern English      4 26
Language/languages, Old English      4 5 26
Language/languages, Old Norse      26
Language/languages, Rhaeto-Romance      21
Language/languages, Romance      20
Language/languages, Romanian      20
Language/languages, Romansh      21
Language/languages, Sanskrit      9 26
Language/languages, Scots      22 23
Language/languages, Spanish      20
Language/languages, Swedish      25
Language/languages, Welsh      22 23
Laplace expansion, determinants      648
Large numbers, law of      967 977
Lateral face, prism      400
Lateral face, pyramid      400
Lateral surface, cone      402
Lateral surface, cylinder      4011
Latin alphabet      12
Latin Language      14
Latin number names      14
Latin squares      195
Latitude      491
Law of Cosines      483
Law of cosines, spherical triangles      485
Law of Sines      480
Law of sines, spherical triangles      482
Law of tangents      486
Law/laws, absolute      132
Law/laws, absolute values, addition/subtraction      133
Law/laws, absolute values, division      133
Law/laws, absolute values, multiplication      133
Law/laws, absorption, Boolean algebra      254
Law/laws, additive inverse      132
Law/laws, arithmetic and algebra      132
Law/laws, associative      132
Law/laws, associative, Boolean algebra      254
Law/laws, associative, sets      249
Law/laws, boundedness, Boolean algebra      253
Law/laws, cancellation      133
Law/laws, commutative      132
Law/laws, commutative, Boolean algebra      252
Law/laws, commutative, sets      249
Law/laws, commutative, vectors      615
Law/laws, complement, Boolean algebra      253
Law/laws, cosines      483 485
Law/laws, de Morgan’s      250
Law/laws, de Morgan’s, Boolean algebra      254
Law/laws, derived, arithmetic and algebra      133
Law/laws, distributive      132
Law/laws, distributive, Boolean algebra      253
Law/laws, distributive, sets      250
Law/laws, distributive, vectors      615
Law/laws, duality, Boolean algebra      253
Law/laws, Hooke’s      869
Law/laws, idempotent, Boolean algebra      253
Law/laws, identity      132
Law/laws, identity, Boolean algebra      252
Law/laws, Kepler’s, motion      894
Law/laws, large numbers      967 977
Law/laws, multiplication, zero      133
Law/laws, multiplicative inverse      132
Law/laws, negation      133
Law/laws, Newton’s, motion      894
Law/laws, parallelogram, vectors      603
Law/laws, product, zero      133
Law/laws, reflexive      132
Law/laws, sines      480 482
Law/laws, substitution      132 224
Law/laws, supplementary, Boolean algebra      253
Law/laws, symmetry      132
Law/laws, tangents      486
Law/laws, transitive      132
Law/laws, triangle, vectors      603
Layer, spherical      403
LCD      125
Leading element      640
Leading entry      640
Least common denominator      125
Left-hand continuity      358
LEGANDRE, A.M.      336
LEGANDRE, A.M., Fermat’s last theorem      334
LEGANDRE, A.M., prime number theorem      80
Legion      14
Legs, triangle      393
LEHMNER, D.H.      334
LEHMNER, E.      334
Lemma, Definition      157
Lemniscate      581
Length as unit of measurement      409
Length, contraction      904
Leonardo da Vinci      399
Leonardo of Pisa      see "FIBONACCI"
Less than, symbol      109
Level, significance      970
Liar paradox      219
Libby, W.F.      1002
Libra      16
Lie groups      682
Lie, M.S.      370 682
Light rays, reflection, conics      408
Limit/limits      355
Limit/limits, calculations with      360
Limit/limits, changing, integration      750
Limit/limits, determinate forms      361
Limit/limits, indeterminate forms      358 779
Limit/limits, infinite series      270
Limit/limits, infinite, integrals      760
Limit/limits, one-sided      358
Limit/limits, trigonometric functions      528 529
Limit/limits, undefined forms      362
LINCOLN, A.      21
Line/lines, concurrent, theorems      432
Line/lines, definitions      387
Line/lines, equation, general form      555
Line/lines, equation, standard form      555
Line/lines, Euler’s      433
Line/lines, geodesic, geodetic      491
Line/lines, intersecting, equations      556
Line/lines, of sight      494
Line/lines, parallel, equations      555
Line/lines, perpendicular, equations      555
Line/lines, rhumb      596
Line/lines, segment, midpoint      551
Line/lines, straight, equations      553
Line/lines, straight, polar equations      578
Linear dependence      1017
Linear differential equations      1016
Linear equations      307
Linear equations, systems, solution      661
Linear functions      349
Linear functions, derivatives      686
Linear independence      1017
Linear interpolation      926
Linearly dependent binomials      663
Linearly independent binomials      663
Lingua universalis      216
Liouville, J.      85
Listing, J.B.      369
Liter      409
Lituus      581
Liu Hui      91
LOBACHEVSKI, N.      369
Local maximum      341
Local minimum      341
Locus, loci      387
Logarithm/logarithms      150
Logarithm/logarithms, base, changing      156
Logarithm/logarithms, Briggs’s      155
Logarithm/logarithms, calculation rules      154
Logarithm/logarithms, common      155
Logarithm/logarithms, complex numbers      794
Logarithm/logarithms, definitions      154
Logarithm/logarithms, history      150
Logarithm/logarithms, imaginary numbers      156
Logarithm/logarithms, Napier’s (Napierian)      155
Logarithm/logarithms, natural      155 354
Logarithm/logarithms, negative numbers      156
Logarithm/logarithms, principal, complex numbers      795
Logarithmic differentiation      705
Logarithmic equations      315
Logarithmic functions      354
Logarithmic functions, derivatives      699
Logarithmic spiral      580
Logic, Aristotelian      216
Logic, circuits      229
Logic, classical      216
Logic, mathematical, symbolic      215
Logic, predicate      216
Logic, symbolic      215
Logical equivalence      223
logistic      100
longitude      491
Lorentz transformations      904
Lorentz, H.A.      904
Lost solutions, trigonometric equations      525
Lower triangular matrix      641
Loxodrome      596
Lucas, F.E.A.      79 287
Ludolphine constant      93
Ludus Sancti Petri      185
Lune/lunes, spherical      404
Lune/lunes, squaring      422
Lute, Pythagoras’s      420
Lyapunov, A.M.      964
L’Hospital’s Rule      782
L’HUILIER, S.      780
Machin, J.      94
Maclaurin, C.      770
Maclaurin’s series      769
Magic circles      213
Magic cubes      214
Magic hexagrams      213
Magic pentagrams      213
Magic spheres      213
Magic square 15-by-15      212
Magic squares      205
Magic squares, chessboards      208
Magic squares, composite      210
Magnitude, vectors      608
Main diagonal, determinant      646
Main diagonal, matrix      641
Major axis, ellipse      390
Major premise      227
Mandelbrot set      633
Mandelbrot, B.      626
MANDELBROT, B., Mandelbrot set      633
Mantissa      155
Manual sign language      67
Maori number names      9
MAP      188 336
Map theorem (problem), four-color      203
Mapping      188 336 378
Markov, A.A.      964
Mass      611 896
Mass point systems      838
Mass, as inductance      1011
Mass, center      838
Mass, mass/energy relation      906
Mass, mass/time      905
Mass, moment of      838
Mathematical (symbolic) logic      215
Mathematical (symbolic) logic, history      216
Mathematical model      1011
Mathematical probability      966
Mathematical proof      157
Matrix/matrices      637
Matrix/matrices, adjoint      658
Matrix/matrices, augmented      662
Matrix/matrices, coefficient      662
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