Авторизация
Поиск по указателям
Gullberg J. — Mathematics: from the birth of numbers
Обсудите книгу на научном форуме Нашли опечатку?
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 |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Grid, polar 577 Group theory 301 Grouping notations 122 Growth, population 1000 Guldin, P. 866 884 Guldin’s first rule 866 Guldin’s second rule 884 Gunter, E. 176 461 Guthrie, F. 203 Hadamard, J.S. 80 778 Haken, W. 204 Half-angle, functions 512 Half-cone 402 Half-life, radioactive isotopes 1001 Half-line 387 Half-open interval 111 Half-saw 43 Hamilton paths 203 HAMILTON, W.R., Hamilton paths 203 HAMILTON, W.R., laws of algebra 133 HAMILTON, W.R., matrices 639 HAMILTON, W.R., quaternions 601 HAMILTON, W.R., vector history 600 Hanoi, Tower of 285 Hardy, G.H. 778 Harmonic analysis 907 Harmonic differential equations 1022 Harmonic oscillations 1008 Harmonic sequence 264 Harmonic series 264 Harmonic series, finite 266 HARRIOT, T. 104 109 134 HASPER, W. 39 Hausdorff — Besicovich dimension 636 HAUY, R.-J. 399 Heating 1005 Heawood, P.J. 204 Hebrew, ancient, numeration 36 Hecto 54 Height, cone 402 Height, prism 400 Height, trapezium 394 Height, trapezoid 394 Height, triangle 393 439 Height, zone, sphere 403 Hein, P. 571 Heisenberg, W.K. 906 Heisenberg’s uncertainty principle 906 Helix, conical 596 Helix, conical, equations, parametric 596 Helix, cylindrical 595 Helix, cylindrical, equations, parametric 595 Helix, elliptic 597 Helix, spherical 596 Helix, spherical, equations, parametric 596 hemisphere 403 Heptadecagon, regular, Euclidean construction 417 Heptagon, definition 392 Herigone 134 HERMITE, Ch., e 85 HERMITE, Ch., matrices 658 Hermitian conjugate matrix 658 HERODIAN, A. 37 Herodianic numeration 36 HERODIANUS, A. 37 HERON, cube roots 148 HERON, equations 316 HERON, formula of 444 Heron’s formula 444 Heuristic method, mathematics, teaching 370 Hexadecimal numeration 46 64 Hexagon 392 Hexagram/hexagrams 420 Hexagram/hexagrams, magic 213 hexahedron 397 Hilbert curve 635 see Hilbert, D. 201 HILBERT, D., 23 important problems 369 HILBERT, D., history, mathematics 301 369 HILBERT, D., Koenigsberg 201 HILBERT, D., Peano curve 635 Hindu-Arabic numeration system 48 Hipparchos 90 366 462 Hippocrates of Chios 422 Hobbes, T. 3 HODDER 116 HOEG, P. 70 370 HOLZMANN, W. 108 Homeomorphism 369 378 Homogeneous constant-coefficient linear differential equations 1018 homogeneous differential equations 995 Homogeneous equations 328 Homogeneous linear differential equations 1016 1017 Hooke, R. 869 Hooke’s law 869 Horace 17 Hubbard, J. 634 HULSIUS, L. 466 Hundred, etymology 27 HUTTON, Ch. 673 HUYGENS, C., catenary 538 HUYGENS, C., cycloid, isochronous property 591 HUYGENS, C., history of calculus 678 HUYGENS, C., probability 963 Hypatia 366 Hyperbola, definition 406 564 Hyperbola, equations 565 568 588 Hyperbola, equations, parametric 588 Hyperbolic cosecant 534 Hyperbolic cosine 534 Hyperbolic cotangent 534 Hyperbolic functions 533 Hyperbolic functions, derivatives 702 Hyperbolic functions, inverse 539 Hyperbolic geometry 382 Hyperbolic secant 534 Hyperbolic sine 534 Hyperbolic spiral 580 Hyperbolic tangent 534 Hypocycloid/hypocyclods 593 Hypocycloid/hypocyclods, equations, parametric 593 Hypotenuse 393 Hypothesis 157 222 Hypothesis, continuum 262 Hypothesis, null 970 Hypothesis, Riemann 778 i, imaginary unit 71 87 Icelandic number names 25 icosahedron 397 448 Icosahedron, formulas 451 Idempotent laws, Boolean algebra 253 Identity/identities, addition 72 Identity/identities, cofunction 507 Identity/identities, compound-angle 509 Identity/identities, double-angle 510 Identity/identities, empty sets 250 Identity/identities, equations 303 Identity/identities, even-odd 508 Identity/identities, fundamental hyperbolic functions 541 Identity/identities, fundamental trigonometric 507 Identity/identities, half-angle 512 Identity/identities, hyperbolic 541 Identity/identities, inverse hyperbolic functions 544 Identity/identities, inverse trigonometric functions 514 Identity/identities, laws 132 Identity/identities, laws, Boolean algebra 252 Identity/identities, matrix 641 Identity/identities, multiple-angle 510 Identity/identities, multiplication 72 Identity/identities, odd-even 508 Identity/identities, principle of 216 Identity/identities, Pythagorean 508 541 Identity/identities, symbol 108 Identity/identities, trigonometric 507 Imaginary axis, number plane 788 Imaginary numbers, logarithms 156 Imaginary numbers, pure 71 Imaginary unit 71 87 Implications 222 Implicit differentiation 705 Implicit form, function 339 Impossible figures 374 Improper fraction 74 Improper integral 756 Improper subset 237 InCh 409 Inclusion theorem 528 Incompleteness theorem 160 Indefinite continuation of straight line, postulate 381 Indefinite integral 722 Independence, linear 1017 Independent variable 336 Indeterminate differences 785 Indeterminate forms, limits 360 779 Indeterminate powers 785 Indeterminate products 785 Indeterminate quotients 784 Index, column, determinant 646 Index, column, matrix 649 Index, root 138 Index, row, determinant 646 Index, row, matrix 649 Indirect proof 159 Indirect proof, symbolic logic 227 Indo-European languages 9 Inductance 1011 Induction, proof by 158 Inequality/inequalities 312 Inequality/inequalities, absolute 312 Inequality/inequalities, conditional 109 312 Inequality/inequalities, symbols 108 Inequality/inequalities, unconditional 109 312 Inference, chain rule 227 Infinite decimal fractions 76 Infinite geometric series 274 Infinite integrands 756 Infinite limits, integrals 760 Infinite series 270 Infinite sets 234 Infinitesimal calculus 673 Infinitesimals 673 infinity 29 Inflection point/points 798 Inflection point/points, derivative 798 Inflection point/points, functions 341 Inflection tangent 388 Inscribed circles, radii 440 Instantaneous acceleration 897 Instantaneous velocity 897 Integers 70 72 Integral/integrals 722 Integral/integrals, calculus 673 721 Integral/integrals, definite 722 747 Integral/integrals, double 753 Integral/integrals, equation 309 Integral/integrals, improper 756 Integral/integrals, indefinite 722 Integral/integrals, multiple 753 Integral/integrals, primitive 722 Integral/integrals, Riemann 749 Integral/integrals, triple 753 Integral/integrals, unrestricted 756 Integrand/integrands 722 Integrand/integrands, infinite 756 Integrated mean values 751 Integrating factors 996 Integration, acceleration 900 Integration, approximate 947 Integration, basic formulas 724 Integration, by parts 728 Integration, by power series expansion 746 Integration, by substitution 733 Integration, constant 722 Integration, methods of 723 Integration, numerical 947 Integration, partial fractions 745 Integration, power functions 723 Integration, recursion formulas 730 Integration, reduction formulas 730 Integration, trigonometric identities 727 Integration, velocity 900 Intercalarius 18 Interest, compound 1003 Interior angles 389 International system of units 52 Interpolation 926 Interpolation, graphical 927 Interpolation, linear 926 Intersecting lines, equations 556 Intersection 239 Interval/intervals 111 Interval/intervals, convergence 766 Invariants 369 Inverse 223 Inverse hyperbolic functions 539 Inverse hyperbolic functions, derivatives 704 Inverse hyperbolic functions, graphs 539 540 Inverse proportionality 350 Inverse trigonometric functions 477 Inverse trigonometric functions, derivatives 697 Inverse trigonometric functions, identities 514 Inverse, function 346 Inverse, matrices 655 Inverse, matrix, cofactors 659 Inverse, matrix, solution systems, linear equations 665 Inversion correction factor 648 Inversions 191 Invertible matrix 656 Ionic numeration 36 Irish number names 22 23 Irrational numbers 70 84 Irregular matrix 656 Isidore of Seville 5 Isosceles triangle 392 Isosceles triangle, Euclidean construction 415 Italian number names 20 Iterative methods, solutions, equations 935 941 J, joule 867 Jacobi, C.G.J. 639 JAENISCH 209 JODE (JUDAEIS), C. 490 John of Seville 463 Jones, W. 85 Jordan curve 379 JORDAN, C., history of geometry 369 JORDAN, C., Jordan curve 379 JORDAN, C., row operations 662 Joule, J 867 Joule, J.P. 867 Julia set 633 JULIA, G.M. 633 Julian calendar 18 JUSTINIAN I 40 JUSTINIANUS, P.S.F. 40 K 55 Kant, I. 201 Kappa 37 Kasner, E. 29 Kempe, A.B. 204 KEPLER, J., combinatorial geometry 184
Реклама
|
|
О проекте