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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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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, 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
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