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Alexanderson G. — The harmony of the world: 75 years of Mathematics Magazine MPop
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Название: The harmony of the world: 75 years of Mathematics Magazine MPop
Автор: Alexanderson G.
Аннотация: Who would expect to find in the pages of Mathematics Magazine the first full treatment of one of the more important and oft-cited twentieth century theorems in analysis, the Stone-Weierstrass Theorem in an article by Marshall Stone himself? Where else would one look for proofs of trigonometric identities using commutative ring theory? Or one of the earliest and best expository articles on the then new Jones knot polynomials, an article that won the prestigious Chauvenet Prize? Or an amusing article purporting to show that the value of has been time dependent over the years? These and much more are in this collection of the best from Mathematics Magazine. Readers are inundated with new material in the many mathematical journals. Gems from past issues of Mathematics Magazine or the Monthly or the College Mathematics Journal are read with pleasure when they appear but get pushed into the background when the next issues arrive. So from time to time it is rewarding to go back and see just what marvelous material has been published over many years, articles now to some extent forgotten. There is history of mathematics (algebraic numbers, inequalities, probability and the Lebesgue integral, quaternions, P‚‚‚lya s enumeration theorem, and group theory) and stories of mathematicians (Hypatia, Gauss, E. T. Bell, Hamilton, and Euler). The list of authors is star-studded: E. T. Bell, Otto Neugebauer, D. H. Lehmer, Morris Kline, Einar Hille, Richard Bellman, Judith Grabiner, Paul Erdos, B. L. van der Waerden, Paul R. Halmos, Doris Schattschneider, J. J. Burckhardt, Branko Grunbaum, and many more. Eight of the articles included have received the Carl B. Allendoerfer or Lester R. Ford Awards.
Read more at http://ebookee.org/The-Harmony-of-the-World-75-Years-of-Mathematics-Magazine-Spectrum_1488998.html#AIlIBd7WgMPP4zHo.99
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 2007
Количество страниц: 285
Добавлена в каталог: 27.12.2014
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Предметный указатель
"Stone age" 35
Abel, Niels Henrik 9 11 13 19—20 61 81 86 87 88 92 205 218
Academie des Sciences, Paris 5 6 59 64 81 87 88 199 208
Academy of Science, Vienna 5
Academy of Sciences, Berlin (Prussian Academy) 57 83 88 199 200
Academy of Sciences, St. Petersburg 201 208
Academy of Sciences, U.S.S.R. 199 201 207
Acta Mathematical 90
Ahlfors, Lars Valerian 11 13 16
Aigand, Jean Robert 144—145
Al-Khowarizmi 238
Albert, A. Adrian 35
Alexander polynomials 265
Alexander, James Waddell 257
Allendoerfer, Carl Bennett 109
American Mathematical Society 5 23 45 161 257 275 276
Andrews, George E. 199
Apollonius of Pergassus 49
Appell, Paul Emile 90
Archimedean tilings 177
Archimedes 9 29
Artin, Emil 143 257
Babbage, Charles 240
Banach, Stefan 16
Beckenbach, Edwin Ford 161
Bell, Eric Temple 9 10 51 79 223
Bellman, Richard Ernest 95
Beltrami, Eugenio 85
Bemdt, Bruce C. 279
Bergman, George 99
Bernoulli family 9 11 86 207
Bernoulli, Daniel 199 201 204 205 207
Bernoulli, Johann 202 205—206
Bertrand, Joseph Louis Francois 90 202
Betti, Enrico 85 91
Bezout, Etienne 214
Binary quadratic forms 56
Birkhoff, George David 16 35 89
Bjerknes, Carl Anton 16
Bjerknes, Vilhelm 16
Blackwell, David Harold 281
Blaschke, Wilhelm 191
Boas, Ralph Philip, Jr. 23 279
Bohr, Harald 23
Bolyai, Farkas 86
Bolyai, Janos 86 202
Bombelli, Rafael 144
Bonnet, Ossian Pierre 90
Boole, George 9 85 169 224
Borel, Emile 16 90 91
Botts, Truman 12
Bouquet, Jean-Claude 82
Braden, Bart 229
Brahe, Tycho 73
Brahmagupta 52
Brioschi, Francesco 85
Briot, Charles Auguste-Albert 82
Buck, Robert Creighton 11
Bunyakovskii, Viktor Yakovlevich 85 86
Burckhart, Johann Jacob 199 201
Burnside, William Snow 163
Calabi, Eugenio 281
Cantor, Georg 9 226
Caratheodory, Constantin 89 91
Cardano, Hieronimo 77
Carlitz, Leonard 281
Cartan, Elie Joseph 13 14
Cartwright, Dame Mary 11
Casorati, Felice 87
Cauchy, Baron Augustin-Louis 5 9 53 55 57 64 65 82 86 87 95 191 195 205 213 218 219 232 243
Cayley numbers 148
Cayley, Arthur 5 9 85 146 148 213 216 223 224 225 226
Chakerian, Gulbank D. 151
Chasles, Michel 82
Chebyshev, Pafnuti L'vovich 85
Chem, Shiing-Shen 35 257
Christian IV, King of Norway 11
Clairaut, Alexis Claude 207 208
Clebsch, Rudolf Friedrich Alfred 83
Clifford, William Kingdon 57 242
Cohn-Vossen, Stefan 192
College de France 82
Commentarii Mathematici Helvetici 199
Commutative ring theory 137
Comptes Rendus de l'Acadimie des Sciences, Paris 5 7 82
Connelly, Robert 195
Copernicus, Nicolaus 71—79 240
Coxeter, Harold Scott McDonald 177
Crelle's Journal 61 83 86 89
Crelle, August Leopold 61 83
Cremona, Antonio Luigi 85
Curtis, Charles Whittlesey 299
Curtiss, David Raymond 161
Curtiss, John Hamilton 161
D'Alembert, Jean le Rond 204 205 207 208
Dantzig, George 161 281
Darboux, Jean Gaston 90
de Branges, Louis 279 281
de Condorcet, Marquis 239 243 244
de Fermat, Pierre 9 59 201 205 237
de Jonquifcres, Ernest 5 7
de l'Hopital, Marquis 279
de Lagrange, Joseph Louis, Comte 9 52 57 58 59 82 83 86 201 207 208 209 213 215 216 217 218 237 241 243
de Laplace, Pierre Simon, Marquis 9 82 242
de Maupertuis, Pierre Louis Moreau 207
de Morgan, Augustus 85
de Prony, Gaspard Francois 240
Dedekind inversion formula 57
Dedekind, (Julius Wilhelm) Richard 9 10 51 52 54 55 56 57 63 64 65 84 88 223 226
Dehn, Max 191
Delisle, Joseph Nicholas 207
Descartes, Rene 9 78 109 214 237 239 243
Dickson, Leonard Eugene 29 30
Diophantus of Alexandria 49 52
Dirichlet, Peter Gustav Lejeune- 53 55 58 64 66 83 84 92 220
Division algebra 143
Douglas, Jesse 11 13
Dowling, Roy J. 115
Dresdner, Arnold 20
Dudley, Underwood 133 199
Dunnington, G. Waldo 9 11 23
Dupin, Pierre Francois Charles 82
Durer, Albrecht 9
Edwards, Harold M. 199
Eisenhart, Luther Pfahler 11 16
Eisenstein, Ferdinand Gotthold 62 66 84
Emch, Arnold 5
Enestrom, Gustaf 200
Engel, Friedrich 14
Erdoes, Paul 139 199
Escher, M.C. 177
Euclid 55 79 238 248
Euclid's Algorithm 58
Eudoxus 9
Euler, Leonhard 9 52 54 57 58 59 83 86 87 89 144 148 171 199 201 203 205 207—208 215 247
Faraday, Michael 207
Fehr, Henri 16
Feit-Thompson Theorem 226
Fellmann, Emil A. 201 205
Fermat's last theorem 57 58 59 64
Fibonacci numbers 99—100
Fields Medals 11 13
Filter, Karl Rudolph 13
Fourier, Jean-Baptiste-Joseph 9 82 84 208
Frank, Philipp 84
Frechet, Rene Maurice 16 90
Frederick the Great 199 209
Fredholm, Erik Ivar 92
Frege, Friedrich Ludwig Gottlob 170
Frobenius, Ferdinand Georg 221—222 225 226
Fuchs, Immanuel Lazarus 91
Fulkerson, Delbert Ray 161
Fundamental theorem of algebra 56
Fuss, Nicholas 200
Fuss, Paul-Heinrich 200
Galileo Galilei 76—77 240
Gallian, Joseph A. 278
Galois theory 143 214 217 218 219 222 223
Galois, Lvariste 9 55 60 63 66 82 216 218
Garabedian, Paul 279
Gardner, Martin 175 181 185
Garrett, Zena 3
Gauss, Carl Friedrich 9 10 51—66 83 84 144 145 214 220 242
Gaussian integers 55
Gelfond, Aleksandr Osipovich 14 204
George II, King of England 83
Gergonne, Joseph-Diaz 82
Gibbs, Josiah Willard 85 148 275
Giornale di matematiche 7
Gluck, Herman 191
Goedel, Kurt 173—174
Goldbach, Christian 148 199 201
Goldberg, Michael 191 275
Goursat, Edouard Jean-Baptiste 90
Grabiner, Judith V. 237
Grassmann, Hermann Guenther 5 88 216
Graves, John T. 145 148
Green, George 84
Gruenbaum, Branko 177 179 190 247
Gudermann, Christophe 88
Guy, Richard K. 279
Haakon VII, King of Norway 11 12 13
Habicht, Walter 201 205
Hadamard, Jacques Salomon 82 89 90 92
Halmos, Paul Richard 35 169 257
Hardy, Godfrey Harold 89 93 204 257
Hasse, Helmut 16
Hausdorff space 36
Hecke, Erich 16
Heesch, Heinrich 179
Heine, Heinrich Eduard 88
Hemenway, David 255
Hensel, Kurt 54
Hermann, Jacob 207
Hermite, Charles 9 82 90
Hesse, Ludwig Otto 83
Hilbert, David 16 51 66 83 89 92 93 95 192
Hille, Einar 81
Hirschhom, Michael 185 190
Hoelder's inequality 97 98 213
Hoelder, Otto 225 226
Holmgren, Erik Albert 92
Hurwitz, Adolf 55 83
Huygens, Christiaan 201
Hypatia of Alexandria 45—50
Ideal numbers 65
Institut de France 7
Jacobi, Carl Gustav Jacob 9 10 60 61 66 83 86 87 88 200
Jahrbuch ueber die Fortschritte der Mathematik 23
James, Richard 183
Jones, Vaughn Frederick Randal 258
Jordan — Hoelder theorem 51 90 213 225 226
Jordan, Camille 90 213 219—220 226
Journal fuer die reine und angewandte Mathematik (Crelle's Journal) 5 60 83 86
Julia, Gaston Maurice 16
Kac, Mark 257 281
Kaluza, Theodore, Jr. 83
Kaplansky, Irving 35
Karl Johann, King of Norway 13
Kepler, Johannes 73—76 208 240
Kershner, R.B. 175 179—183 193
Khintchin, Aleksandr Yakovlevich 16
Kienzle, Otto 179
Klamkin, Murray 159 281 282
Klein, Felix 19 26 84 90 91 92 214 215 216 217 219 222 225
Kleiner, Israel 213
Kline, Morris 71 83
Knopp, Konrad 83
Knorr, Wilbur 45
Koebe, Paul 89
Kovalevskaya, S'ofya 9
Krantz, Steven G. 35
Kronecker, Leopold 9 55 56 64 66 84 220 221
Kummer, Ernst Eduard. 9 52 54 55 57 58 65 66 83 84 220
Laguerre, Edmond Nicolas 90
Lame, Gabriel 53 58 59 64
Landau, Edmund Georg Herman 10 91
Lange, Lester Henry 151
Laugwitz, Detlef 202
Laurent, Pierre Alphonse 86
Lebesgue integral 123 129—131
Lebesgue measure 129
Lebesgue, Henri Leon 92
Legendre, Adrien-Marie 82 86 143 148
Lehmer, Derrick Henry 29 129
Lehmer, Derrick Norman 29
Leonardo da Pisa (Fibonacci) 52
Lickorish, William Bernard Raymond 257
Lie groups 143 215
Lie, Marius Sophus 13—15 214 217 222
Lietzmann, Walter 14
Lindeloef, Ernst Leonhard 92
Liouville, Joseph 64 67 82 92
Littlewood, John Edensor 93 205
Lobachevskii, Nikolai Ivanovich 9 86 242
Loewner, Karl 279
Lucas-Lehmer test 29
Mac Lane, Saunders 35
Maclaurin, Colin 237
Magid, Andy M. 137
Mathematical Reviews 23
Mathematische Annalen 83
Mathieu, Emile Leonard 90
Maud, Queen of Norway 10 11 13
Maxwell, James Clerk 79 84 207 242
Mazur, Barry 257
Meray, Charles 88
Mersenne primes 29
Mersenne, Marin 3
Miller, George Abram 226
Millett, Kenneth C. 257
Milnor, John Willard 179
Minkowski's inequality 98
Minkowski, Hermann 83 98
Mississippi Delta State Teachers College 3
Mittag-Leffler, Goesta Magnus 90 92
Moebius, August Ferdinand 83 84
Monge, Gaspard 9 81
Moore method 3
Moore, Robert Lee 3
Mordell, Louis Joel 16
Morley, Frank 45
Neugebauer, Otto 16 23
Neumann, Carl Gottfried 91
Nevanlinna, Frithiof 92
Nevanlinna, Rolf Herman 92
Newman, Donald J. 159
Niven, Ivan 190 277
Noether, (Amelie) Emmy 143
Octonions 148
Ogilvy, C. Stanley 125
Ore, Oystein 16 65
Oseen, William 16
Osgood, William Fogg 89
Painleve, Paul 90
Pappus Of Alexandria 45
Pascal, Blaise 9 243
Peano, Giuseppe 170
Peirce, Benjamin Osgood 85 242 275
Pentagonal tilings 179 183
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