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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
Matrix/matrices, complex      658
Matrix/matrices, complex conjugate      658
Matrix/matrices, Hermitian conjugate      658
Matrix/matrices, history      638
Matrix/matrices, inverse      655
Matrix/matrices, inverse, solution system of linear equations      665
Matrix/matrices, invertible      656
Matrix/matrices, irregular      656
Matrix/matrices, nonsingular      656
Matrix/matrices, normal      658
Matrix/matrices, orthogonal      657
Matrix/matrices, projection      658
Matrix/matrices, singular      656
Matrix/matrices, skew-Hermitian      658
Matrix/matrices, skew-symmetric      654
Matrix/matrices, square      640
Matrix/matrices, symmetric      654
Matrix/matrices, transpose      654
Matrix/matrices, triangular      641
Matrix/matrices, unitary      658
MAUPERTUIS, P.-L.      466
Maximum, absolute      804
Maximum, derivative      798
Mayan calendar      59
Mayan numeration      58
MB      55
Mean, arithmetic      975
Mean, geometric      111 268
Mean, proportional      111
Mean, values, integrated      751
Mean, weighted      975
Mean-value theorem/theorems      716
Mean-value theorem/theorems, extended      718
Mean-value theorem/theorems, generalized      718
Mean-value theorem/theorems, restricted      717
Means      111
Measurements, decimal system of      52
Measurements, length, area, volume      409
Median/medians      974
Median/medians, intersection, triangle      433
Median/medians, trapezium, trapezoid      394 394
Median/medians, triangle, definition      393 439
Mega      54
Megabyte      55
MEIR EZRA, Ibrahim ben      185
Members, set      232
Menelaus      463
Menger sponge      632
Menger, K.      632
Mercator projection      596
Mercator, G.      596
Meridian/meridians of longitude      491
Meridian/meridians, Greenwich      491
Meridian/meridians, torus      405
Mersenne numbers      79
Mersenne primes      79
Mersenne, M.      79
Messbare Unendlichkeit      30
Meter      409
Meter Convention      52
Method/methods, Lagrange’s, multipliers      823
Method/methods, Monte Carlo      968
Method/methods, Newton’s      941
Method/methods, radiocarbon      1002
Method/methods, Simpson’s      955 957
Method/methods, trapezoidal      949
Method/methods, undetermined coefficients      1027
Method/methods, variation of constants      1025
METHODIOS, Saint      12
Metric system      52
micro      54
Microlocal analysis      682
Middle English number names      26
Midline      see "Median"
Midpoint of line segment      550
Midpoint of line segment, Euclidean construction      413
Mile, nautical      409
Mile, statute      409
MILLES, C.      892
Milli      54
Milliard      28
Millio      15 28
Million, etymology      28
Minimal surface      538
Minimum, absolute      804
Minor axis, ellipse      390
Minor premise      227
Minor, first      648
Minor, principal      648
Minuend      116
Minus symbol, Rhind Papyrus      99
Minute, angle      410
Mittag-Leffler, G.      262 682
Mixed surds      139
MODE      974
Modular arithmetic      123
Modulus, complex numbers      788
Moebius strip      380 204
Moebius, A.      369 380
Moivre      see "de MOIVRE"
Moment arm      838
Moment of mass      838
Moment of mass, lamina      844
Monad      13
Monge, G.      367
Monic form (equation)      305
Monomial      128
Monotonicity, functions      341
Monte Carlo methods      968
Morgenstern, O.      965
Morse code      66
MORSE, S.F.B.      66
Moscow papyrus      99
Most rapid descent, path      590
Motion      891
Motion, curvilinear      896
Motion, Kepler’s laws      894
Motion, Newton’s laws      894
Motion, oscillating      1008
Motion, rectilinear      896
Multiple integrals      753
Multiple, scalar      602
Multiple-angle identities      510
multiplicand      118
Multiplication, complex numbers      790
Multiplication, Egyptian      118
Multiplication, fractions      125
Multiplication, fundamental operations      118
Multiplication, inverse, law      132
Multiplication, matrices      642
Multiplication, polynomials      129
Multiplication, principle      186
Multiplication, Russian peasant      119
Multiplication, symbols of      104
Multiplication, table      118
Multiplication, vectors      614
Multiplicative notation      44
Multiplier/multipliers      118
Multiplier/multipliers, Euler’s      997
Multiplier/multipliers, Lagrange’s      823
Music and numbers      922
Myriad      10 29
N, newton      605
n-gon, definition      392
n-th term test, infinite series      270
Names, numbers      7
Nano      54
NAPIER, J., logarithms      150
NAPIER, J., Napier’s bones      174
Napierian logarithms      155
Napier’s Bones      174
Napier’s logarithms      155
Napier’s rods      174
Nappe/nappes      402
Natural logarithms      155 354
Natural logarithms, power series expansion      773
Natural numbers      70 72
Natural oscillations      1008
Navigation      490
Negation      220
Negation, laws      133
negative numbers      72
Negative numbers, logarithms of      156
Negligible terms, method of approximation      925
NEHEMIAH, the Rabbi      95
networks      201
Networks, logic circuits      229
NEWTON, I., binomial expansion      776
NEWTON, I., brachistochrone problem      590
NEWTON, I., fundamental theorem of calculus      748
NEWTON, I., history of calculus      676 677 678
NEWTON, I., history of geometry      369
NEWTON, I., motion      894 895
NEWTON, I., negative distance, concept of      548
NEWTON, I., numerical analysis      301
NEWTON, I., numerical solution      941
NEWTON, I., powers      134
Newton, N      605
Newton’s, laws, motion      894
Newton’s, method      941
Newton’s, method, flow chart      946
Neyman, J.      965
NICHOLAUS the Fifth      41
NICOMACHOS of Gerasa      82 110
Nihil      15
Nine-point triangle      433
Nines, casting out      123
Node      386
Noether, E.      301
Non-denumerably infinite sets      260
Non-Euclidean geometries      381
Non-Euclidean postulates      381
Non-integrability      725
Nonagon      392
Nonary      46
Nonhomogeneous constant-coefficient linear differential equations      1024
Nonhomogeneous linear differential equations      1016 1017
Nonlinear functions, derivatives      687
Nonsingular matrix      656
Nontrivial zeros      778
Normal distribution      979
Normal equation      688
Normal form, equation      305
Normal matrix      658
Notation/notations      see also "Symbol"
Notation/notations, additive      32 34
Notation/notations, additive, Roman      40
Notation/notations, common      381
Notation/notations, multiplicative      32 44
Notation/notations, place-value      32
Notation/notations, positional      32 46
Notation/notations, scientific      53
Notation/notations, subtractive      32
Notation/notations, subtractive, Roman      40
november      19
Null angle      388
Null hypothesis      970
Null matrix      641
Null vector      603
Null vector, matrix      641
NUMA (Roman king)      17
Number mystique      6
Number names      7
Number names, Classical Greek      10 13
Number names, Danish      24
Number names, Dutch      25
Number names, Etruscan      12
Number names, French      20 24
Number names, German      25
Number names, Greek      10
Number names, Greenlandic      7
Number names, Icelandic      25
Number names, Irish      22 23
Number names, Italian      20
Number names, Latin      14
Number names, Maori      9
Number names, Middle English      26
Number names, Old English      26
Number names, Old Norse      26
Number names, Rhaeto-Romance languages      21
Number names, Romanian      20
Number names, Sanskrit      26
Number names, Scots      22 23
Number names, Spanish      20
Number names, Swedish      25
Number names, Welsh      22 23
Number plane, complex      87 788
Number theorem, Pythagorean      332
Number/numbers, abundant      82
Number/numbers, algebraic      84
Number/numbers, amicable      83
Number/numbers, cardinal      5
Number/numbers, chromic      203
Number/numbers, complex      71 87 131 787
Number/numbers, composite      77
Number/numbers, counting      70
Number/numbers, cubic      292
Number/numbers, defective      82
Number/numbers, deficient      82
Number/numbers, Fermat      78
Number/numbers, Fibonacci      287
Number/numbers, figurate      289
Number/numbers, friendly      82
Number/numbers, gnomon      291
Number/numbers, golden      287
Number/numbers, irrational      70 84
Number/numbers, Mersenne      79
Number/numbers, natural      70 72
Number/numbers, negative      72
Number/numbers, oblong      291
Number/numbers, ordinal      5
Number/numbers, Pell      288
Number/numbers, pentagonal      291
Number/numbers, perfect      82
Number/numbers, preferred      929
Number/numbers, prime      77
Number/numbers, Pythagorean      332
Number/numbers, random      967
Number/numbers, rational      70 72
Number/numbers, real      70
Number/numbers, sets of      234
Number/numbers, square      290
Number/numbers, square pyramidal      293
Number/numbers, supertetrahedral      294
Number/numbers, tetrahedral      292
Number/numbers, transcendental      85
Number/numbers, transfinite      257
Number/numbers, triangular      289
Numbers, vs. infinity      29
Numerals      5
Numerals, Arabic      6
Numerals, Chinese rod      51
Numerals, East Arabic      49
Numerals, Gobar      50
Numerals, mercantile Chinese      45
Numerals, official Chinese      45
Numerals, Roman      6
Numerals, traditional Chinese      44
Numerals, West Arabic      49
Numeration system/systems      31
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