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Gullberg J. — Mathematics: from the birth of numbers
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Название: Mathematics: from the birth of numbersАвтор: 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: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1997Количество страниц: 1110Добавлена в каталог: 22.11.2014Операции: Положить на полку |
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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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