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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
Convergence, comparison test 276 Convergence, conditional 280 Convergence, infinite geometric series 274 Convergence, interval of 766 Convergence, n-th term test 270 Convergence, power series 766 convergence, ratio test 277 Convergence, selected series 271 Convergence, Simpson’s rule 959 Convergence, trapezoidal rule 952 CONVERSE 223 Conversion table, hyperbolic functions 545 Conversion table, trigonometric functions 475 Conversion/conversions, fractions 75 125 Conversion/conversions, half-angle tangent 512 Conversion/conversions, integrals, trigonometric/algebraic 740 Conversion/conversions, orthogonal/polar coordinates 577 Conversion/conversions, products, sums of functions 513 Conversion/conversions, spherical/orthogonal coordinates 584 Convex, polygon 392 Convex, polyhedron 396 Cooling 1005 Coordinate geometry 548 Coordinate system/systems, Cartesian 549 Coordinate system/systems, cylindrical 582 Coordinate system/systems, orthogonal 472 549 Coordinate system/systems, orthogonal/polar, transformation 887 Coordinate system/systems, polar, arc length 835 Coordinate system/systems, polar, plane 576 Coordinate system/systems, polar, space 582 Coordinate system/systems, rectangular 549 Coordinate system/systems, right-handed 607 Coordinate system/systems, spherical 583 Coordinate system/systems, vectors 607 Copernicus, N. 464 894 Correction factor, inversion 648 Correspondence 376 Corresponding angles 389 426 Cosecans hyperbolicus 534 Cosecant 470 Cosecant, curve 502 Cosecant, derivative 695 Cosecant, hyperbolic 534 Cosech, derivative 702 Cosh, derivative 702 Cosine/cosines 470 Cosine/cosines, curve 503 Cosine/cosines, derivative 695 Cosine/cosines, hyperbolic 534 Cosine/cosines, law of 483 Cosine/cosines, of x, power series expansion 773 Cosinus hyperbolicus 534 Cotangens hyperbolicus 534 Cotangent 470 Cotangent, curve 504 Cotangent, derivative 695 Cotangent, hyperbolic 534 Cotes, R. 581 Coth, derivative 702 Counting boards 168 Counting numbers 70 Counting rules, binary, basic 62 Courant, R. 936 Courses 491 Cramer, G. 639 668 Cramer’s Rule 668 Crandall, R. 333 Crelle, A.L. 301 Critical points 798 799 816 Crossing lines 387 Crunode 386 Cube/cubes 397 400 448 Cube/cubes, duplication 421 Cube/cubes, formulas 450 Cube/cubes, magic 214 Cube/cubes, twin cube 455 Cube/cubes, volume 446 Cubic equations 316 Cubic meter 409 Cubic numbers 292 Cuneiform symbols 35 Cup 238 Curve/curves 387 Curve/curves, anti-snowflake 629 Curve/curves, anti-square 629 Curve/curves, closed 379 Curve/curves, cosecant 502 Curve/curves, cosine 503 Curve/curves, cotangent 504 Curve/curves, family of 992 Curve/curves, Jordan 379 Curve/curves, length, curvilinear figures 440 Curve/curves, Peano 635 Curve/curves, secant 503 Curve/curves, sine 502 Curve/curves, snowflake 627 636 Curve/curves, snowflake, dimension 636 Curve/curves, tangent 504 Curvilinear figures, curve length 440 Curvilinear motion 896 Cusp/cusps 386 590 Cybernetics 909 Cyclic permutations 192 Cyclic quadrilateral, area 445 Cycloid/cycloids 590 Cycloid/cycloids, equations, parametric 591 Cylinder/cylinders, formulas 452 Cylinder/cylinders, surface, chromic number 204 Cylinder/cylinders, volume 446 Cylindrical coordinates 582 CYRIL, Saint 12 Cyrillic alphabet 12 Damped oscillations 1009 Damping constant/resistance 1011 Danish number names 24 Dase, Z. 94 Dating, radiocarbon 1002 de DECKER, E. 152 de FERMAT see "FERMAT" de FERMAT, P., amicable numbers 83 de FERMAT, P., analytic geometry 548 de FERMAT, P., combinatorics 184 de FERMAT, P., Fermat numbers 78 de FERMAT, P., history of calculus 675 de FERMAT, P., last theorem 333 de FERMAT, P., parabolic spiral 581 de FERMAT, P., prime numbers 78 de FERMAT, P., probability 963 de FERMAT, P., spiral of 581 de la Vallee-Poussin see "VALLEE-POUSSIN" de LAPLACE see "LAPLACE" de LAPLACE, P.S., determinants 639 648 de LAPLACE, P.S., history of calculus 680 de LAPLACE, P.S., normal distribution 979 de LAPLACE, P.S., probability 964 de LUNESCHLOS, J. 296 de L’HOSPITAL, G.F. see "HOSPITAL" de L’HOSPITAL, G.F., brachistochrone problem 590 de L’HOSPITAL, G.F., history of calculus 679 de L’HOSPITAL, G.F., L’Hospital’s rule 782 de MENDOZA, Antonio 60 de MOIVRE, A., complex numbers 791 793 de MOIVRE, A., normal distribution 979 de MOIVRE, A., probability 964 De Moivre’s Formula 791 de Moivre’s laws 250 254 de Moivre’s laws, Boolean algebra 254 de MORGAN, A., algebra of sets de Morgan’s laws 250 de MORGAN, A., four-color map problem 204 de MORGAN, A., proof by induction 158 de ROBERVAL, G.P. 590 675 Deca 54 Decadic 46 Decagon 392 Decagon, regular, Euclidean construction 416 Decay, radioactive 1001 Deceleration 897 December 19 Deci 54 Decimal comma 75 Decimal fractions 75 Decimal marker 75 decimal point 75 Decimal position system 46 48 Decimal system of measurement 52 Dedekind, J.W.R. 70 258 Deduction, proof by 158 Defective numbers 82 Deficient numbers 82 Definite integral 722 747 Definite integral, area 749 DEFOE, D. 32 Deformation 379 Degree/degrees, angle 410 Degree/degrees, centesimal 410 Degree/degrees, cyclic permutation 192 Degree/degrees, differential equation 992 Degree/degrees, polynomial 128 del Ferro, S. 316 DELAMAIN, R. 176 177 Delian problem 421 Deltoid 395 Denary 46 Denominator 74 Denominator, greatest common 126 Denominator, least common 125 Denominator, rationalizing 139 Density, probability, function 971 Denumerably infinite sets 258 Dependence, linear 1017 Dependent variable 336 Depression, angle of 494 Derivative/derivatives 685 Derivative/derivatives, algebraic functions 689 Derivative/derivatives, arccos 695 Derivative/derivatives, arccot 695 Derivative/derivatives, arccsc 695 Derivative/derivatives, arcosech 704 Derivative/derivatives, arcosh 704 Derivative/derivatives, arcoth 704 Derivative/derivatives, arcsec 695 Derivative/derivatives, arcsin 695 Derivative/derivatives, arctan 695 Derivative/derivatives, arsech 704 Derivative/derivatives, arsinh 704 Derivative/derivatives, artanh 704 Derivative/derivatives, composite functions 691 Derivative/derivatives, cosecant 695 Derivative/derivatives, cosech 702 Derivative/derivatives, cosh 702 Derivative/derivatives, cosine 695 Derivative/derivatives, cotangent 695 Derivative/derivatives, coth 702 Derivative/derivatives, exponential functions 699 Derivative/derivatives, functions, algebraic 689 Derivative/derivatives, functions, composite 691 Derivative/derivatives, functions, exponential 699 Derivative/derivatives, functions, logarithmic 699 Derivative/derivatives, functions, transcendental 695 Derivative/derivatives, fundamental trigonometric functions 695 Derivative/derivatives, inflection point 798 Derivative/derivatives, inverse trigonometric functions 697 Derivative/derivatives, linear functions 686 Derivative/derivatives, logarithmic functions 699 Derivative/derivatives, maximum 798 Derivative/derivatives, minimum 798 Derivative/derivatives, mixed partial 712 Derivative/derivatives, nonlinear functions 687 Derivative/derivatives, partial, mixed 712 Derivative/derivatives, power of a variable 689 Derivative/derivatives, product 690 Derivative/derivatives, quotient 691 Derivative/derivatives, secant 695 Derivative/derivatives, sech 702 Derivative/derivatives, sine 695 Derivative/derivatives, sinh 702 Derivative/derivatives, sum 690 Derivative/derivatives, tangent 695 Derivative/derivatives, tanh 702 Derivative/derivatives, transcendental functions 695 Desargues, G. 367 434 DESCARTES, R., amicable numbers 83 DESCARTES, R., analytic geometry 548 DESCARTES, R., Cartesian product 241 DESCARTES, R., equations 299 DESCARTES, R., history of calculus 675 DESCARTES, R., history of geometry 367 368 369 DESCARTES, R., logarithmic spiral 581 DESCARTES, R., polyhedron formula 448 DESCARTES, R., powers 134 DESCARTES, R., product notation 104 Descent, path, most rapid 590 Detachment, principle of 223 Determinant, coefficient 669 Determinants 637 646 Determinants, history 638 Determinants, properties 649 Determinate forms, limits 361 Determinate straight line 387 Deviation, standard 976 Diagonal/diagonals 392 Diagonal/diagonals, diagonals/sides, parallelogram 438 Diagonal/diagonals, face 396 Diagonal/diagonals, main, determinant 647 Diagonal/diagonals, main, matrix 641 Diagonal/diagonals, matrix 641 Diagonal/diagonals, principal, determinant 646 Diagonal/diagonals, principal, matrix 641 Diagonal/diagonals, secondary, determinant 646 Diagonal/diagonals, space 396 Diagram, Euler 242 Diagram, Venn 242 Diameter 391 Diameter, sphere 403 Difference 116 Difference, approximate values 163 Difference, boundary values 166 Difference, common, series 264 Difference, complex numbers 130 789 Difference, indeterminate 785 Difference, sets 239 Differentiability 693 Differential calculus 673 683 Differential equations 989 Differential equations, first-order ordinary 994 Differential equations, harmonic 1022 Differential equations, homogeneous 995 Differential equations, linear 1016 Differential equations, ordinary 991 994 Differential equations, partial 991 Differential equations, second-order ordinary 1015 Differentials 685 Differentiation, implicit 705 Differentiation, logarithmic 705 Differentiation, partial 710 Digamma 37 DIGITS 5 Digits, reliability 161 Digits, reliable 162 Digits, significant 50
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