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Muir J. - Of Men and Numbers: The Story of the Great Mathematicians :: Электронная библиотека попечительского совета мехмата МГУ
 
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Muir J. - Of Men and Numbers: The Story of the Great Mathematicians
Muir J. - Of Men and Numbers: The Story of the Great Mathematicians

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Название: Of Men and Numbers: The Story of the Great Mathematicians

Автор: Muir J.

Аннотация:

Fascinating accounts of the lives and accomplishments of history's greatest mathematical minds, from Pythagoras to Georg Cantor. Muir also provides charming anecdotes about Descartes, Euler, Pascal, and many others, as well as accessible discussions of their contributions to mathematical thought. 30 diagrams. Bibliography.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 256

Добавлена в каталог: 05.10.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel, Niels      207
Absolute differential geometry      164
Academy, Plato's      14
Acceleration      127-129
Achilles and the tortoise      120 228
Acropolis      10-11
Addition      2 164 167
Aleph      225 228
Alexander the Great      14-15
Alexandria      14-15 19 20 25 27
Algebra      7 11-12 65-67 69 70 84 177 204-205
Algebra in Babylonia      4
Algebra, development of      34
Algebra, fundamental theorem of      160 162-163
Algebra, invention      28
Algebraic equations      162 226-227
Algebraic numbers      226-227
Analysis      7 22 23 177 226 239 see
Analytic geometry      51-56 57 65-68 71 84 101 121-122 143-144
Anne, Queen      134
Antinomies      239-240
Apollo      17
Apollonius      80
Arabian mathematics      28 38
Arabic numbers      28
Archimedes      19-25 27 126-127 145 157 174 178 216
Aristotle      10 90
Arithmetic      see "Number theory"
Arithmetic continuum      219 233
Ars Magna      33-34 35 36 38
Aubrey, John      75
axes      51-52 121 163-164
Axiomatic method      8-9 16 168 220 221-223 240
Axiomatics      221-222
Axioms      8-9 16 166 168 191-192 194 197-198 219-220
Babylonian mathematics      4
Bartels, Johann Martin      159 187
Barton, Catherine      136
Beekman, Isaac      50-51 56
Benze, Johann      158 172
Berkeley, George      131-132 232
Bernoulli, Daniel      140 145
Bernoulli, Johannes      139
Bernoulli, Nicholas      140 141
Binomial theorem      28 107
Bolyai, Janos      220
Bolyai, Wolfgang      161 179
Boole, George      222
Brahe, Tycho      113
Bruno      77
Brunswick, Duke of      159-160 161 165 169-170 171 179
Caesar, Julius      25
Calculus      7 22-23 107 118-133 142-143 234
Cantor, Constantin      218
Cantor, Georg      176 217-240
Cantor, Georg Woldeman      217 218 219 237
Cantor, Maria Boehm      217-218
Cantor, Sophie      218
Cantor, Vally Guttmann      235
Cardano, Aldo      31 44 45-46
Cardano, Chiara      31 44 45
Cardano, Chiara Michina      30
Cardano, Fazio (father)      29 30
Cardano, Fazio (grandson)      44
Cardano, Giambatista      31 33 41-44 45
Cardano, Girolamo      26 27 29-46 48 94
Cardano, Lucia Bandarini      31 41
Catherine I      140
Catherine II (the Great)      138 153 154
Cauchy, Augustin      176 204 207 233
Causality      198-199 see
Cayley, Arthur      169
Charles I      72 105
Chevalier, Auguste      209 211 213 215
Christina, Queen of Sweden      75-76 93
Chronology of Ancient Kingdoms Amended      135
circle      65 83 84
Circle, area      3 22-23
Circle, general equation of      54 144
Circle, squaring      16 17
Clark, Mr.      106
Closure      165
Coates, Robert      96
complex numbers      160 163-164
Conduitt, John      136 137
Congruences, theory of      162
Conic sections      17 65 72 80-87 220
Conon      20
Continuum      219 230
coordinates      51-52 121 163-164
Copernicus, Nikolaus      113 200
Correspondence      67-69 133 228-229
Counting      1-2
Crelle's Journal      238
cube      11 16-17 225
Cubic equations      16 17 34-36 37 70
Cycloid      102-103
D'Alembert      153
da Vinci, Leonardo      29 82
Darwin, Charles      149
de Richelieu, Armand      79-80
de Roannez, Charlotte      99
de Roannez, Due      93 98-99 103
de Roberval, Gilles Personne      60 87
Decimals      12 231-232
Decline and Fall of the Roman Empire      27
Dedekind, Richard      176 220 235
Deduction      9-10 see
Deism      147-148
Delian oracle      16
Denbow, Carl      162
derivatives      127 233
Desargues, Gerard      80 83 84 104
Descartes' Rule of Signs      69
Descartes, Rene      28 47-76 80 84 87 88 89 91 92 98 101 121 134 144 178 185 216 223 229 233
Determinism      147-151 198-199
Deutsche Mathematicker-Vereinigung      238
Diagonal process      227-228
Differential geometry      172
Differentiating      127-130
Diophantine equations      37
Discourse on Method      61 71-72
Disquisitiones Arithmeticae      162 165
Distribution of errors      173-174
Division      2 5-6 164 168
Division by zero      126
Dositheus      20
Doubling the cube      16-17
e      226
Edward VI      41
Egyptian mathematics      1-4
Einstein, Albert      116 144 195-197 199 220 221 229 233 237
Eisenstein      178
Elements      15-16 79 see
Eliot, T.S.      99
Elizabeth of Bohemia      72
ellipse      55 83 84
Empiricism      147
Epicureans      16
Equations      34-38 65-66 69 70 215-216 226-227
Equations, algebraic      162 226-227
Equations, cubic      16 17 34-36 37 70
Equations, Diophantine      37
Equations, general      36-37 53-54 69-70 144
Equations, linear      16 34-35 37 53-54 65-66 70 121-122 144
Equations, nonalgebraic      226
Equations, quadratic      11-12 16 34-35 38 70 204
Equations, quartic      37
Equations, quintic      204 207
Equations, theory of      210
Eratosthenes      20
Euclid      14-19 79 84 166 168 169 185 191-192 193 194 196 200
Euclid Vindicated from All Defects      191
Eudoxus      15
Eugenius, Pope      27
Euler, Leonhard      138-156 176 201 219
Euler, Marguerite      138
Euler, Paul      138 139
Factorials      18
Fermat's last theorem      144-145
Fermat, Pierre      39 71 87 94 104 144
Ferreus, Scipio      35
Fibonacci series      220
Fibonacci, Leonardo      28
Flamsteed, John      117
Fluxions, Doctrine of      119 131-132 233
Formalism      197-198 221 240
Four-dimensional geometry      144 169 233
Fractions      5 225 231 235
Francina      74-75
Franklin, Benjamin      147
Frederick II (the Great)      138 142 147 152-153
Frederick William III      171
French Academy of Science      139 206 207 209 211 212
Functions      124 131
Fundamentals of Mathematics      162
Galen      200
Galileo      50 61 64 77 105 113 122 234
Galois, Adelaide-Marie Demante      202
Galois, Alfred      202 214 215
Galois, Evariste      202-216
Galois, Nicholas Gabriel      202 206-207
Gauss, Carl Friedrich      19 157-183 187 194 200 201 215 220 230
Gauss, Dorothea Benze      157 161 180-181 183
Gauss, Dorothea Warnecke      157
Gauss, Eugene      172 175 180
Gauss, Friederica Wilhelmine Waldeck      172 174
Gauss, Gebhard      157-158 159 172
Gauss, Johann Georg Heinrich      157 159-160 180
Gauss, Johanna      178 179
Gauss, Johanna Osthoff      170 172
Gauss, Joseph      170 180
Gauss, Therese      172 181
Gauss, Wilhelm      172 180
Gaussian curve      173
General equations      36-37 53-54 69-70 144
Geometry      7 84 167 177 191-196
Geometry, analytic      51-56 57 65-68 71 84 101 121-122 143-144
Geometry, development of      34
Geometry, differential      164
Geometry, Egyptian      2-4
Geometry, four dimensional      144 169 233
Geometry, Greek      8-12 25
Geometry, n-dimensional      144 168-169
Geometry, non-Euclidean      160 166 169 191-195 196-197 198 199-200 201 219-220
Geometry, projective      80-87 195
George III      202
Gibbon, Edward      27
Goedel theorem      240
Goedel, Kurt      240
Goedicke, Victor      162
Goldbach conjecture      8
graphs      51-52 65-68 121 128-129 163-164
Gravitation, theory of      170 110-111 114 194 196
Greco-Latin Squares      155-156
Greek mathematics      4-25
Grimm brothers      179
Grimm, Peter      154
Group theory      216
Gsell, Catharina      141
Guigniault      210
Halley, Edmund      114 115 134-135
Hamilton, John (Archbishop of Scotland)      40
Hanging Gardens      4
Harriot, Thomas      69
Harvey, William      62-63
Height of an equation      227
Heisenberg, Werner      150
Henry VII      77
Hermite, Charles      215
Hiero II      20
Hilbert, David      220 240
Hippocrates      15
Hobbes, Thomas      62
Hooke, Robert      115 118
Hugo, Victor      203
Hume, David      149
Hydrostatics, First law of      20-21
Hyperbola      55 83
Imaginary geometry      see "Non-Euclidean geometry"
imaginary numbers      5 38 70 71 164 210 220 235 see
Imaginary roots      38 163
Indian mathematics      27-28 38
Infeld, Leopold      215
Infinite processes      23 234 240 see
Infinite sets      224-228 234 239
Infinitesimals      126-127 129-133 176 232-233
infinity      13 19 23-24 68-69 84 120 132-133 167 176 229-234 235-236 239-240
Institutiones Calculi Differentialis      142
INTEGER      5 12 71 224-225 227 235 see
integrating      127-130
Introductio in Analysis infinitorum      142
Intuition      197-198 221 240
Invariants      84-87 195-196
Inverse square law      111 114 115
Irrational numbers      5 12 13 17 19 38 67 70 71 132 162-163 176 223 226 229-232 235 239
Irrational numbers, theory of      229-232 233 235
Irrational roots      162-163
Irrationalism      150-151 220
Jacobi, Karl      197 215
Jansen, Cornelis      88
Jansenism      88-90 92 97 98 99 100
Jefferson, Thomas      147
Justinian      14
Kepler, Johannes      113 114
Kronecker, Leopold      12 215 219 235-238
Kummer, Ernst      219
La Fontaine, Jean      93
Lagrange, Joseph-Louis      154-155 195 204
Laplace, Pierre      177
Lavoisier, Antoine      70
Laws of Thought, The      222-223
Le Monde      61-62
Least squares      173
Legendre, Adrien      204
Lettres provinciates      100 101
Light      107 108
Limits      23 132 232 233 234
Line      10 12 51-56 65-66 70 196 229
Line, general equation of      53-54 70 144
Linear equations      16 34-35 37 53-54 65-66 70 121-122 144
Liouville, Jacques      215 226
Lobatchevsky, Alexander      186
Lobatchevsky, Alexei      186 188
Lobatchevsky, Nicholas      185-201 212 220 221
Lobatchevsky, Preskowja Ivanova      186
Locke, John      74 117 187
Logic      8-9 16 143 168 176 192 220 221-223 240
Louis Philippe      210 211
Louis XIII      72
Louis XIV      138
Louis XVIII      203
Ludolphian number      23
Madison, James      202
Marcellus      24
Maupertuis      152
Maxwell, James Clerk      5-6
Mayans      3
Menaechmus      15
Mersenne, Marin      60
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