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Fink K. — A brief history of mathematics

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Название: A brief history of mathematics

Автор: Fink K.

Аннотация:

A brief history of mathematics; an authorized translation of Dr. Karl Fink's "Geschichte der elementar-mathematik".

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1903

Количество страниц: 345

Добавлена в каталог: 04.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

irrationality of      133
, the symbol      97
$\delta$ symbol of differentiation      180
$\int$ , symbol of integration      170 172
$\varphi$ , nature of      133 207
$\varphi$ , values of      192 193 199 201 215 222
Arabs      3 15 35 39 53 74 76 88 89 191 214 285
Arbitration of exchange      55
Arcerianus, Codex      214 218
Archimedes      68 — 71 78 81 190 199 204 205 208 210 212
Archytas      69 82 204 207 211
Argand      124 125
Aristophanes      25
Aristotle      64 70
Arithmetic      18 24 36 49 51 64 95
Arithmetic, foundations of      189;
Arithmetic, foundations of, required      43
Arithmetical triangle      118
Aronhold      146 250
Aryabhatta      12 72 74 215 216
Aryans      12
Associative law      119
assurance      56 — 60
Astronomy      18
August      246
Ausdehnungslehre      127
Austrian subtraction      28 48
Avicenna      76
Axioms      197
B $\acute{e}$ zout      143 159 160 167
B $\ddot{o}$ klen      167 270
B $\ddot{u}$ rgerscJmlen      23
B $\ddot{u}$ rgi      4 50 98 115 116 290
Babylonians      9 10 14 19 24 25 63 64 190 192 193
Bachet      106 134 137
Ball, W. W. R.      172
Baltzer      167 224
Bamberger arithmetic      51
Banna      see Ibn al Banna
Bardin      277
Barrow      169 238
Bartl      167
Barycentrischer Calc $\ddot{u}$ l      129 250
Baumgart      137
Beaune      see DeBeaune
Bede      36 37 40
Bellavitis      250 266
Beltrami      148 269 271
Beman      124 125 129
Beman and Smith      207
Benedicts      225
Bernecker      109
Bernelinus      37 40
Bernoulli family      58
Bernoulli, Daniel      166 175
Bernoulli, Jacob      148 150 152 171 175 178 179 238 239
Bernoulli, John      152 166 173 175 178 179 238 242 243
Bertrand      122 155 270
bessel      237
Betti      165
Beutel      22
Bhaskara      73 74 85 86 216
Bianchi      147
Bianco      237«.
Bierens de Haan      222
Binder      257
Binomial coefficients      103
Binomial coefficients, binomial theorem      118
Biot      242
Boethius      26 27 37
Bois — Reymond      155 189
Bolyai      270 271
Boncompagni      75
Bonnet      155
Boole      131 146
Bornbelli, roi      202 112
Bouniakowsky      139
Bouvelles      237
Boys      166
Brachistochrone      178 238
Brahmagupta      52 216
Brianchon      244
Briggs      292
Brill      142 175 180 189 254 264 276 278
Bring      165
Brioschi      143 144 146
Brocard      245
Brouncker      134
Brune      59
Brunelleschi      227
Burckhardt      134 141 147
Busche      139
Calculating machines      48
Calculus, differential      168 170 171 178;
Calculus, directional      127
Calculus, integral      174 178
Calculus, of logic      131
Calculus, of variations      179
Cantor, G.      120 123
Cantor, M.      7
Capelli      165
Cardan      101 — 103 109 112 113 150 155 225
Cardioid      241
Carnot      174 244 246 248
Cassini’s oval      241
Castelnuovo      275
Cataldi      131
Catenary      241
Cattle problem of Archimedes      83
Cauchy      62 119 124 138 139 143 153 154 164 167 168 174 181 188 189
Caustics      238
Cavalieri      168 173 224 229 234 235 237
Cayley      126 i29 131 143 146 168 178 253 257 263 264 266 274 277
Ceulen      222
Ceva      244
Chain rule      52 55
Chance      see Probabilities
Chappie      244
Characteristics, Chasles’s method of      264
Chasles      290 246 249 256 263
Chessboard problem      135
Chinese      8 14 19 28 74 «4
Christoffel      147
Chuquet      47 95
Church schools      3 36 37 94
Circle, Division of      24
Circle, squaring      195 197 207 215 221
Cissoid      211
Cistern problems      34
Clairaut      117 242
Clausberg      55
Clavius      III
Clebsch      146 147 176 177 250 251 257 262 266 279
Cloister schools      see Church schools
Codex Arceriamis      214
Coefficients and roots      115 156
Cohen      172
Cole      162
Combinations      70 74 150 151
Commercial arithmetic      22 51 60
Commutative law      119
Compasses, single opening      225
Complementary division      38
complex numbers      73 104 123 226 182
Complex variable      see Functions theory
Complexes      254
Compound interest      52
Computus      37 39
Conchoid      211
Condorce      149

Congruences, theory of      131
Conics      81 202 204 228 230 239 256
Conon      210
Conrad of Megenberg      219
Conrad, H.      109
Contact transformations      178 269 276
Continued fractions      131 — 133 168
Convergency      152 — 155 189;
Coordinates, Cartesian      231
Coordinates, curvilinear      268 269
Coordinates, elliptic      269
Copernicus      289
Correspondence, one-to-one      251 264 266 268
Cosine      288
Coss      96 — 99 107 109 111
Cotes      174 239 241 244
Counting      6
Cousin      227
covariants      146 (see also Forms Invariants)
Cramer      132 167 240
Cramer, paradox      240
Crelle      141 245 257
Cremona      256 266
Crofton      276
Cross ratio      258 259
Cube, duplication of      82 104 204 207
Culvasutras      72
Cuneiform inscriptions      9
Cunynghame      166
Curtze      289
Curvature, measure of      268
Curves, classification of      233 239 246
Curves, deficiency of      262 263
Curves, gauche (of double curvature)      243 255 263
Curves, with higher singularities      253
Cusa      237
Cycloid      178 237 238
D $\ddot{u}$ rer      221 224
d, symbol of differentiation      170 — 172
Dante      94
De la Gournerie      262
De Lagny      157
De l’Hospital      173 178 179
De Moivre      124 152 160
De Morgan      143 155
DeBeaune      156
Decimal fractions      50
Decker      292
Dedekind      120 — 122 126 127 189
Defective numbers      35
Deficiency of curves      262 263
Definite integrals      174
Degrees (circle)      24
Delambre      295
Delian problem      82 104 204 207
Democritus      213
Desargues      205 237 242 259
Descartes      4 108 117 119 124 136 140 156 191 228 230 238
Descriptive geometry      247 259 260
Determinants      133 144 145 167 168 262
DeWitt      57 148
Dialytic method      144 145
Diametral numbers      105
Differential calculus      168 170 171 178
Differential equations      174 — 178 269
Differential geometry      267
dimensions      275
Dini      155 189
Dinostratus      197 212
Diodes      211
Diophantus      65 70 77 81 84 85 90 93 133
Dirichlet      62 125 126 133 139 140 153 174 177 181 189 279
Discount      54
Discriminant      145
Distributive law      119 130
Divani numerals      15
Divisibility tests      35
Division      38 42 44 48 49
Dodson      58
Donatello      227
Duality      249
DuBois — Reymond      155 189
Duhamel      155
Duodecimal fractions      19
Dupin      267 270
Duplication of the cube      82 104 204 207
Dyck      278
D’Alembert      175 180
Easter      41
Eccentricity      224
Ecole Polytechnique      261
Egyptians      8 10 18 24 31 35 63 77 190 192 282
Eisenstein      126 127 138
Elimination, theory of      142 143
ellipse      81 205
Ellipsoid      242
Elliptic functions      see Functions
Elliptic integrals, classed      183 186 187
Ellis      131
Enneper      181
Enumerative geometry      264
Envelopes      242
Equations, Abelian      163
Equations, approximate roots      156 166
Equations, cubic      81 82 92 93 111 155
Equations, cyclotomic      160 — 163 207
Equations, differential      174 — 178
Equations, Diophantine      93 135 137
Equations, fundamental theorem      163;
Equations, higher      92 115 155 164
Equations, indeterminate      83 84 86 93 135 137 139
Equations, limits of roots      156 166
Equations, linear      77 78 87 9o
Equations, mechanical solutions      166
Equations, modular      164
Equations, negative roots      234
Equations, quadratic      79 — 81 85 91 109 155
Equations, quartic      111 — 113
Equations, quintic      165
Equipolent      96
Eratosthenes      141 190 208
Erchinger      162
Eschenbach      151
Euclid      35 65 79 80 100 119 133 190 195 197 212 213
Eudoxus      79 199 204 210 212 223
Euler      58 62 118 124 132 135 136 138 140 143 152 158 160 173 175 179 180 240 244 247 167 294 295
Evolutes      238 242
Exchange      52 55
Exhaustions      199 225
Exponents      see Symbols
Eyck      226
Eycke      222
Fagnano      180 181
Farr      59
Faulhaber      96
Felkel      141
Fermat      57 118 134 135 137 140 148 168 173 229 234
Ferrari      112 155 225
Ferro      112
Feuerbach      245
fibonacci      see Leonardo
Finck      288
Finger reckoning      25 36 43
Fischer      59
Fluxions      171 173
Forms, theory of      131 142
FOURIER      153
Fourth dimension      274
Fr $\acute{e}$ zier      260
Fractional exponents      102

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