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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 MPopАвтор:   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.
Язык:  Рубрика:  Математика /Статус предметного указателя:  Готов указатель с номерами страниц ed2k:   ed2k stats Год издания:  2007Количество страниц:  285Добавлена в каталог:  27.12.2014Операции:  Положить на полку  |
	 
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                        "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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