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| Ïîèñê ïî óêàçàòåëÿì |
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| Katz V.J. — A History of Mathematics: An Introduction |
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| Ïðåäìåòíûé óêàçàòåëü |
Descartes, normal lines 472—473
Descartes, Rene 129 368—369 496 613
Descartes, theory of equations 447—448
Determinants 612 651 689—690
Dickson, Leonard Eugene 823
Diez, Juan 642
Differential equations, exact 554 751—752
Differential equations, in Bernoulli, Daniel 580—582
Differential equations, in Bernoulli, Jakob 545 549
Differential equations, in Bernoulli, Johann 545—549
Differential equations, in Bernoulli, Nicolaus 552—553
Differential equations, in Cauchy 719—720
Differential equations, in D’Alembert 578—580 692
Differential equations, in eighteenth century mathematics 545—560
Differential equations, in Euler 545 553—558 570—574 580-582 692
Differential equations, in Leibniz 527—531 546—547
Differential equations, in Newton 509 512
Differential equations, linear 547—549 553—554 556-558
Differential equations, partial 573 578—582 635 721—722
Differential form 795—797
Differential geometry, in Clairaut 630—632
Differential geometry, in Euler 632—633
Differential geometry, in Gauss 768—770
Differential geometry, in Monge 633—635
Differential geometry, of curves 630—632
Differential geometry, of surfaces 632—633 768—771
Differential triangle 499 502—503
Differential triangle, in Leibniz 524—527
Differential triangle, in Newton 512
Differential triangle, in seventeenth century mathematics 490
Diodes 126—127 134
Diophantus 168 187
Diophantus, and Euler 615
Diophantus, and Renaissance mathematics 365 372
Diophantus, Arithmetica 173—183
Dirichlet, and continuity 710
Dirichlet, Peter Lejeune 655 659 705 725—726
Distributive law 81 226 823
Ditton, Humphry 532 534—535
Divergence theorem 748—749
Division see Arithmetic computations
Dodgson, Charles L. 696
Domingo Gundisalvo 290—291
Donnolo, Shabettai 301
Double difference, method of 194
Doubling the cube 51—52 128 662—663
Duality 785—787
Durer, Albrecht 390—393
Dyck, Walther von 651 674—675
D’Alembert, and Lacroix 706
D’Alembert, and limits 708
D’Alembert, biography 579
d’Alembert, Jean le Rond 578—581 585—586 692 695
Eccenter 141 402
Eccentricity 141
Ecliptic 137—139
Edgeworth, Francis 759
Education, eighteenth century 637 678
Education, medieval 316 330—331
Education, nineteenth century 678 679 720
Education, Renaissance 359
Education, seventeenth century 704—705 (see also Textbooks)
Egypt 3
Egyptian Mathematical Leather Roll 10
Egyptian mathematics 1 188
Egyptian mathematics, algebra 13—14
Egyptian mathematics, and Greek mathematics 93 100 122 184 188
Egyptian mathematics, arithmetic computations 8—12
Egyptian mathematics, calendars 26—27
Egyptian mathematics, counting 5—6
Egyptian mathematics, geometry 20—21
Egyptian mathematics, square root 27
Egyptian mathematics, summary 45
Eigenvalues 691—694
Eighteenth century mathematics 544—642
Eighteenth century mathematics, algebra 610—621
Eighteenth century mathematics, analysis 544—590
Eighteenth century mathematics, differential equations 545—560
Eighteenth century mathematics, education 637—640
Eighteenth century mathematics, geometry 621—637
Eighteenth century mathematics, number theory 617—619
Eighteenth century mathematics, probability 597—609
Eilenberg, Samuel 806 833
Eisenstein, Ferdinand Gotthold 689
Elliptic geometry 790
Epicycle 140 402 413
Equations, abstract algebra 662—670
Equations, construction of solutions of 437—438 447—448
Equations, cubic see Cubic equations
Equations, cyclotomic 620 657—659 661—667 669
Equations, differential see Differential equations
Equations, indeterminate 175 197—202 218—225 284 308—309 615-616
Equations, linear see Linear equations
Equations, polynomial see Polynomial equations
Equations, quadratic see Quadratic equations
Equations, systems see Linear equations
Equations, theory of 373—375 445—448 667-670
Equinox 138
Eratosthenes 55 104 186
Error-correcting codes 846—847
Ethnomathematics 332—340
Euclid 58—59 184
Euclid,  186
Euclid,  157
Euclid, analysis 185—186
Euclid, and Apollonius 118 122 124 129
Euclid, and Archimedes 107 108 111 114
Euclid, and Diophantus 177
Euclid, and education 678
Euclid, and eighteenth century mathematics 582 621—637
Euclid, and Heron 159—161
Euclid, and Islamic mathematics 241 249—250 262 269
Euclid, and medieval Europe 297 299 302 327 328
Euclid, and Nicomachus 171—173
Euclid, and Nicomedes 111
Euclid, and nineteenth century mathematics 659
Euclid, And Ptolemy 146
Euclid, and Renaissance mathematics 368 377—378 385—386
Euclid, and seventeenth century mathematics 437—439 504
Euclid, application of areas 71
Euclid, basic propositions 63—67
Euclid, circles and pentagons 73—77
Euclid, conic sections 116 117
Euclid, constructions 61—62
Euclid, geometric algebra 67—73 95—96
Euclid, Hilbert’s axioms 799—800
Euclid, irrational magnitudes 90
Euclid, number theory 84—88
Euclid, parallel postulate 62 (see also Parallel postulate )
Euclid, probability 601
Euclid, ratio and proportion 77—84
Euclid, similarity 67 77 82—84
Euclid, solid geometry 90—95 (see also Elements of Euclid)
Euclidean algorithm 78
Euclidean algorithm, and Chinese mathematics 201
Euclidean algorithm, and Indian mathematics 218
Euclidean algorithm, in Nicomachus 171
Euclidean constructions 66—69
Euclidean Domain 660
Eudemus 48
Eudoxus 46 50 91
Eudoxus, and astronomy 136 139—140
Eudoxus, biography 81
Euler,    570—573 585
Euler,  573—574
Euler,     567—570
Euler,    614—615
Euler, and nineteenth century analysis 706 739 744
Euler, biography 553
Euler, calculus of variations 558
| Euler, continuity 709—710
Euler, curves 630 632—633
Euler, derivatives 715—718
Euler, differential equations 553—558 570—574 580—582 692
Euler, differential geometry 630 632—633
Euler, double integrals 575—578
Euler, Fourier series 720
Euler, functions 724
Euler, Leonhard 544
Euler, linear equations 615—617 695
Euler, matrices 692
Euler, multiple integration 577—578
Euler, number theory 617—619 652—653 655
Euler, primes 459
Euler, theory of surfaces 767
Euler, topology 635—637 848
Expectation 457—458
Exponents, rules of, in Diophantus 179
Exponents, rules of, in medieval Europe 317
Exponents, rules of, in Renaissance mathematics 346 350 370 416
Exponents, rules of, Islamic 252—253
Extensive quantity 793
Exterior derivative 796
Factor Theorem 448
Factorial rule 301
False position, in Egypt 15
False position, in Greece 181—182
False position, in medieval Europe 307 344
False position, in Renaissance mathematics 344
Faulhaber, Johann 482
Fermat, analytic geometry 431—436 442
Fermat, and Diophantus 182
Fermat, areas 481—485
Fermat, biography 433
Fermat, Last Theorem 459—460 655—657 659
Fermat, little theorem 459 617—618
Fermat, maxima and minima 470—472
Fermat, number theory 458—460 617—618 655
Fermat, Pierre de 129 182
Fermat, probability 448 451
Fermat, tangents 471
Ferrari, Lodovico 360—361 364 613
fibonacci see Leonardo of Pisa
Fibonacci sequence 309
Fields 651
fields, defined 676—677
Fields, in nineteenth century mathematics 667 676—677
Fields, in twentieth century mathematics 823—826
Figurate numbers 49
Finck, Thomas 401
Finzi, Mordecai 306
Fisher, Ronald 760
Fluxions and fluents, in Agnesi 566
Fluxions and fluents, in Berkeley 582—583
Fluxions and fluents, in Dixon and Hayes 534—535
Fluxions and fluents, in Maclaurin 562—565
Fluxions and fluents, in Newton 509—514
Fluxions and fluents, in Simpson 560—562
foci 125—127
Forcadel, Pierre 386
Four-color theorem 805 850
Fourier, biography 720
Fourier, Charles 847
Fourier, Joseph 705 720—726
Fr chet, Maurice 816—819
Fractions, Babylonian 13
Fractions, Chinese 14
Fractions, decimal 242—243 375—378
Fractions, Egyptian 9—12
Fractions, Greek 78
Fractions, in Chuquet 349—351
Fractions, in exponents 317 446 485—488
Fractions, in Gerardi 345
Fractions, in medieval Europe 302 307
Fractions, in Renaissance mathematics 375—378
Fractions, in Richard of Wallingford 315—317
Fraenkel, Abraham 812
Franklin, Benjamin 641—642
Frege, Gottlob 736—737
French Revolution 637—640 707 721 775
Frend, William 678 838
Frobenius, Georg 651—652 674 691 695—697
Functions, and graphs 319—321
Functions, and wave equation 578—582 (see also Trigonometry)
Functions, continuous 581 709—711 715 723—726 817 819
functions, defined 567 587 723 724
Functions, in Euler 567—570
Functions, in Greece 143—145 157
Functions, integrable 726—727
Functions, representable as trigonometric series 722—726
Functions, spaces of 816—818
Functions, symmetric 375 446
Functions, uniformly continuous 727—729
functor 833
Fundamental theorem of algebra 447 738
Fundamental Theorem of Arithmetic 86
Fundamental theorem of calculus 498—503 719
Fundamental theorem of calculus, in Lagrange 589—590
Fundamental theorem of calculus, in Leibniz 529—531
Fundamental theorem of calculus, in Maclaurin 564—565
Fundamental theorem of calculus, in Newton 514
Fundamental theorem of calculus, in Ostrogradsky 749
Fundamental theorem of calculus, in Riemann 745
G del, Kurt 806 813—814
Galilei,    421—425
Galilei, biography 422
Galilei, Galileo 321 385 420—425 502
Galois, Evariste 651 667—669 676—677 694
Galton, Francis 758—759
Gauss — Jordan elimination 755
Gauss,   652—653 662—664 670-671
Gauss,   770—771
Gauss, and Abel 666
Gauss, and Dedekind 659—660
Gauss, biography 654
Gauss, Carl Friedrich 651
Gauss, complex analysis 738—739 744
Gauss, cyclotomic equations 662—664
Gauss, fields 678
Gauss, geometry 766—771 774 778—780 781
Gauss, integrals 748—749
Gauss, least squares 755—757
Gauss, number theory 652—655
Gauss, primes 657
Gauss, quadratic forms 670—671 677 688
Gaussian elimination 17—19 755
Gaussian integers 654—655
Geography 393—397
Geometric algebra 100 117
Geometric progression 86—87 416
Geometrical product 792
Geometry, absolute 778
Geometry, analytic 431—444
Geometry, and complex analysis 737—746
Geometry, Babylonian 19—25
Geometry, Chinese 20—23 193—197 207
Geometry, Egyptian 20—21
Geometry, eighteenth century 621—637
Geometry, Euclidean 58—96 776
Geometry, foundations of 797—800
Geometry, groups in 791—792
Geometry, in  dimensions 780 792—797
Geometry, in African weaving 338
Geometry, in Archimedes 111—116
Geometry, in Clairaut 621—623 630—632
Geometry, in Dee 385—389
Geometry, in Euler 632—633 635—637
Geometry, in Monge 633—635
Geometry, in Plato 52—54
Geometry, in Saccheri 624—628 (see also Analytic geometry; Differential geometry; Non-Euclidean geometry; Projective geometry)
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