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Alexanderson G. — The harmony of the world: 75 years of Mathematics Magazine MPop
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


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 301

Добавлена в каталог: 27.12.2014

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