81. Eisenstein dans cet anneau permit à eisenstein d énoncer des conditions de http://serge.mehl.free.fr/chrono/Eisenstein.html

EISENSTEIN Gotthold Ferdinand Max, allemand, 1823-1852 Issu d'une famille de six enfants atteints par la méningite, maladie extrêmement contagieuse, Ferdinand sera le seul des enfants à survivre mais sa santé restera fragile. Élève brillant, il se passionne pour les mathématiques et s'inscrit à l'université de Berlin (1843), sa ville natale où il se fait rapidement connaître par une publication dans le Journal de Crelle relative à l'emploi des substitutions linéaires (x = aX + bY, y = cX + dY) dans l'étude des formes quadratiques, sur lesquelles Gauss travaillait et qui conduiront Hamilton et Sylvester au calcul matriciel. Le célèbre et influent naturaliste et explorateur Alexander von Humboldt le prendra sous sa protection : il étudiera auprès de Gauss et de Hamilton en Irlande et obtiendra, parrainé par Jacobi , une chaire à l'université de Berlin (1847) où il sera nommé académicien peu avant sa mort, à 29 ans, atteint de tuberculose. Ce triste destin rappelle celui du célèbre mathématicien norvégien Niels Henrick Abel Ses travaux les plus significatifs portèrent sur les formes quadratiques (théorie des invariants), la théorie analytique des nombres et les fonctions elliptiques dont la théorie, développée au moyen des

82. Eisenstein http://sozluk.sourtimes.org/show.asp?t=eisenstein

83. Minutes Of The Third Meeting Of Mathematical Culture By Allan the main result of his earlier paper had already been discovered by Gottholdeisenstein a century earlier. eisenstein s work had simply been forgotten. http://www.swiss.csail.mit.edu/~adler/MATHCULT/minutes3.html

Minutes of the third meeting of Mathematical Culture The third meeting of Mathematical Culture took place on June 26, 2000 at Barnes and Noble's cafe on Campbell Lane in Bowling Green, KY and was attended by five people, including myself. This cordial gathering was the final meeting of the discussion group, at least for this year under my leadership. The books we discussed at this meeting were Eric Temple Bell's book Men of Mathematics and Lynn Osen's book Women in Mathematics. Both are collections of biographies of mathematicians. The books are quite different. Bell's book represents a genre which the French mathematician Jean Dieudonne described as "novelistic biography". The lives of the mathematicians therein are often real adventure stories. Unfortunately, Bell doesn't give many references to support his accounts and in many cases he is just plain wrong about the facts. Bell was a novelist as well as a prolific mathematician. He wrote science fiction under the pseudonym John Taine. He wasn't an historian. Lynn Osen's book is better in that respect, since she is careful to support her assertions with specific references. In some cases, those references are not completely reliable, but at least one knows what they are and one can examine them critically. On the other hand, although she mentions the mathematics that each of her women did, she doesn't explain any of it. Bell does attempt to explain some of the relevant mathematical ideas to his non-mathematical reader. However, even in such attempts, he sometimes does violence to the mathematics in order to achieve a literary goal.

84. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï eisenstein, Ferdinand GottholdMax eisenstein Born 16 April 1823 in Berlin, Germany http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=E

85. ­^¤¤¹ï·Ó The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://hk.geocities.com/goodprimes/ATrans.htm

¥»­¶§â¯Àºô¤¤¥Î¹Lªº¦Wµü¡B¤H¦W¡B¦a¦Wªº¤¤¤å©M­^¤å¦C¥X¡A¥H¯÷°Ñ¦Ò¡C Abbott, P. ¦ã³Õ* Abel, Niels Henrik ªü¨©º¸ (1802-1829) [®¿] Absolutely Least Conguemce Class µ´¹ï³Ì¤p¦P¾lþ Absolutely Least Conguemce Class modulo m ¼Ò m ªºµ´¹ï³Ì¤p¦P¾lþ Absolutely Least Remainder µ´¹ï³Ì¤p³Ñ¾l Absolutely Least Remainder modulo m ¼Ò m ªºµ´¹ï³Ì¤p³Ñ¾l Absolutely Least Residue Conguemce Class µ´¹ï³Ì¤p³Ñ¾lþ Absolutely Least Residue Conguemce Class modulo m ¼Ò m ªºµ´¹ï³Ì¤p³Ñ¾lþ Abundant Number Â׼ơB¬Õ¼Æ¡B¹L³Ñ¼Æ Adleman, Leonard ¦ã±o°Ò Alexander the Great ¨È¾ú¤s¤j¤j«Ò [¥j§Æ] Algerbraic Number Theory ¥N¼Æ¼Æ½× Algorithm ºâªk Aliquot Cycle ¯u¦]¤l°é Aliquot Divisor ¯u¦]¤l Alm, Torbjorn ¨ÈªL* Almost Perfect Number ¬p§¹¥þ¼Æ Almost Prime ¬p¯À¼Æ Almost Superperfect Number ¬p¶W§¹¥þ¼Æ Alternating Factorial ¥æ´À¶¥­¼* Alternating Factorial Prime ¥æ´À¶¥­¼¯À¼Æ* Amicable Pair ¿Ë©M¼Æ Amicable Triple ¿Ë©M¤T¤¸¼Æ²Õ* Anderson, A. ¦w¼w»¹ Anderson, Arlin E. ¦w¼w»¹ Andersen, Jens Kruse ¦w¼w»¹ [¤¦] Angel, Michael ¦w¯ª* Anti-Clockwise °f®É°w Apollo 13 ¤Ó¶§¯«¤Q¤T¸¹ Approximation ¹Gªñ¡Bªñ¦ü­È Archimedes ªü°ò¦Ì¼w («e287 - «e212) [¥j§Æ] Arithmetic Progression ºâ³N¯Å¼Æ Armengaud, Joel ªü¦Ì®æ¯S [ªk]

86. °ª´µ©M¦ã´Ë´µ©Z§â°ÝÃD§Ë¤j¤F The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://hk.geocities.com/goodprimes/FGauss.htm

°ª´µ©M¦ã´Ë´µ©Z§â°ÝD§Ë¤j¤F ¼w°ê¼Æ¾Ç¤ý¤l°ª´µ (Carl Friedrich Gauss 1777-1855) ¼w°ê¼Æ¾Ç®a¦ã´Ë´µ©Z (Gotthold Eisenstein 1823-1852) ¯À¼Æ¡A§Ú­Ì¥i¥H²z¸Ñ¬°¾ã¼Æ (©Î¦³²z¼Æ°ì) ¤¤¤£¥i¦A¤À¸ÑªºªF¦è¡C§Ú­Ì¥i¥H¥H¦P¼Ëªº¤èªk¦b¤£¦P°ì (Domain) ¤¤©w¸q¯À¼Æ¡A³o«K¬O¥»³¹©Ò¤¶²Ðªº¡u°ª´µ¯À¼Æ ¡v(Gaussian Prime) ©M ¡u¦ã´Ë´µ©Z¯À¼Æ¡v (Eisenstein Prime)¡C ¦b¾ã¼Æ¤¤¡A 1 ¤£¬O¯À¼Æ ¡A§Ú­ÌºÙ¨ä¬°³æ¦ì (Unit)¡A¥ô¦ó¼Æ©M³æ¦ìªº­¼¿n¤£¼vÅT¨ä¯À©Ê (Primality) ¡C¦ý¦b§Oªº°ì¤¤¡A³æ¦ì¥i¤£¥u¤@­Ó¡A¦p¦b¦³²z¼Æ°ì¤¤¡A³æ¦ì«K¬O +1 ©M -1¡C¥Ñ¦¹ 7 ©M -7 ¦b¦³²z¼Æ°ì¤¤¤]¬O¯À¼Æ¡A³o -7 ºÙ§@ 7 ªº¬Û¦ñ¤¸ (Associate)¡C ­Y§Ú­Ì§â©w¸qÂX®i¦Ü½Æ¼Æ°ì¤¤¡G°ª´µ¾ã¼Æ (Gaussian Integer) ¬°§Î¦p a+bi ªº½Æ¼Æ¡A¨ä¤¤ a¡Bb §¡¬°¾ã¼Æ ¤Î i = -1 ¡C³o°ª´µ¾ã¼Æ©M´¶³q¾ã¼Æ¬Û¹³¡A¤]¬O±©¤@¤À¸Ñªº (Unique Factorization) (°£¥h¦]¼Æªº¦¸§Ç¡B³æ¦ì + 1¡B - 1 ¡B + i ¡B - i ¤Î¬Û¦ñ¤¸¥H¥~ªº¤À¸Ñ¬O±©¤@ªº) ¡C¦b°ª´µ¾ã¼Æªº¥@¬É¤¤¡A§Î¦p 4k-1 ªº¯À¼Æ (¦p 3¡B7¡B11¡B19¡B23¡B......) ¤´¬°¯À¼Æ¡A¦ý¨ä¥Lªº«h¥i¶i¤@¨B¤À¸Ñ¦¨¨ä¥L°ª´µ¯À¼Æ¡G 2 = (1+i) (1-i) 5 = (2+i) (2-i) 17 = (4+i) (4-i) 37 = (6+i) (6-i) ­Y§Ú­Ì§â°ª´µ¯À¼Æªº¦ì¸m°O¤U¡A«K¦³¤U¹Ï¡G ¦ã´Ë´µ©Z¯À¼Æ ­Y§Ú­Ì¤S§â©w¸qÂX®i¦Ü¥t¤@¼Æ°ì¤¤¡G¦ã´Ë´µ©Z¾ã¼Æ (Eisenstein Integer) ¬°§Î¦p a + b w ¡A¨ä¤¤ a¡Bb §¡¬°¾ã¼Æ ¤Î w ¬°¤@½Æªº¤T¦¸³æ¦ì®Ú¡Aº¡¨¬ w w + 1 = ) ³o¸Ì¤]¬O±©¤@¤À¸Ñªº (°£¥h¦]¼Æªº¦¸§Ç¡B³æ¦ì + 1¡B - 1 ¡B + w ¡B - w ¡B + w ¡B - w ¤Î¬Û¦ñ¤¸¥H¥~ªº¤À¸Ñ¬O±©¤@ªº)¡C¦b¦ã´Ë´µ©Z¾ã¼Æªº¥@¬É¸Ì¡A¯À¼Æ 2 ©M §Î¦p 6k- 1 ªº¯À¼Æ (¦p 5¡B 11¡B 17¡B 23¡B 29¡B 41¡B ......) ¤´¬°¦ã´Ë´µ©Z¯À¼Æ¡A¦ý¬O 3 ©M¨º¨Ç§Î¦p 6k+ 1 ªº¯À¼Æ (¦p 7¡B 13¡B 19¡B 31¡B 37¡B 43¡B ......) «h¥i¶i¤@¨B¤À¸Ñ¦¨¨ä¥L¦ã´Ë´µ©Z¯À¼Æ¡C¦ã´Ë´µ©Z¯À¼Æ¤]ºÙ§@ ¦ã´Ë´µ©Z - ¶®¥i¤ñ¯À¼Æ (Eisenstein-Jacobi Prime)¡C

87. ScienceWeek notably Jakob Steiner (17961863), Karl Jacobi (1804-1851), GottholdEisenstein (1823-1852), and Lejeune Dirichlet (1805-1859). The last, in particular, http://scienceweek.com/2004/sc040116-4.htm

Personal Subscriptions Group Subscriptions Archives Contact Us ... Advertising ScienceWeek Crossing Barriers Since 1997 Receive ScienceWeek three times a week by Email at minimal cost: Subscriptions About ScienceWeek Archives Contact Us ... Subscriptions ScienceWeek HISTORY OF MATHEMATICS: ON BERNHARD RIEMANN (1826-1866) The following points are made by Keith Devlin (citation below): 1) Bernhard Riemann (1826-1866) was an unlikely revolutionary. Born in September 1826 in the small town of Breslenz in what was then the kingdom of Hanover, he was the second of six children. He was a quiet, shy, sickly individual who remained very much a loner throughout his life. One of the few people who seems to have broken through his shell was his colleague Richard Dedekind (1831-1916), who wrote a biography of Riemann ten years after his death. According to Dedekind, on top of his genuinely poor health Riemann was also a hypochondriac. 2) Bernhard's father, the local Lutheran pastor, very much wanted his son to become a theologian, but Bernhard was soon to display other talents and a lack of them. He first attended school in Hanover, where he suffered from chronic homesickness, and then in Lueneburg, which was much closer to home. He was hardly a model pupil. He never could take to the drill of learning Latin, and his performance in German composition was poor. Throughout his life he would find writing difficult. Moreover, he would remember only what interested him.

88. Ìåæäóíàðîäíûé Èíôîðìàöèîííûé Öåíòð, ýëåêòð The summary for this Russian page contains characters that cannot be correctly displayed in this language/character set. http://www.miclibrary.ru/index-ea=1&ln=1&shp=1&ea=1&ln=1&shp=1&chp=showpage&pare

Êíèãè íà CD newmenu ICQ Ñàíêò-Ïåòåðáóðã, 23-28 ìàÿ : X Åæåãîäíàÿ Êîíôåðåíöèÿ ÐÁÀ è IV ìåæäóíàðîäíàÿ êíèæíàÿ ÿðìàðêà "Íåâñêèé êíèæíûé ôîðóì" Ïîäêëþ÷åíèå ê ìèðîâûì áèáëèîãðàôè÷åñêèì áàçàì äàííûõ Global Books in Print è Ulrich`s Periodicals Directory. Lecture Notes in Mathematics èçäàòåëüñòâà Springer Verlag. Cïåöèàëüíîå ïðåäëîæåíèå äëÿ áèáëèîòåê! ... Óâàæàåìûå êîëëåãè, Ìåæäóíàðîäíûé Èíôîðìàöèîííûé Öåíòð ïðèãëàøàåò Âàñ ïîäêëþ÷èòüñÿ â òåñòîâîì äîñòóïå ê æóðíàëàì èçäàòåëüñòâà "Taylor and Francis", êîòîðûé íà÷íåòñÿ ñ ñåðåäèíû ìàÿ 2004 ãîäà. ÌÈÖ ïðèãëàøàåò ïðèíÿòü ó÷àñòèå â òåñòîâîì äîñòóïå ýëåêòðîííûõ æóðíàëîâ Bentham Science publisher. Ïîñìîòðèòå ñïèñîê æóðíàëîâ è ïîäêëþ÷àéòåñü. Òåñòîâûé äîñòóï ïðîäëèòñÿ 3 ìåñÿöà ñ ìîìåíòà ïîäêëþ÷åíèÿ.  ïðèëîæåíèè Âû íàéäåòå ñïèñîê æóðíàëîâ è ôîðìóëÿð äëÿ çàïîëíåíèÿ. Æäåì Âàøó ðåãèñòðàöèþ.Ñêà÷àòü àíêåòó äëÿ ðåãèñòðàöèè Âû ìîæåòå ÌÈÖ ïðåäñòàâëÿåò 2 ïðîåêòà: ïîäêëþ÷åíèå ê æóðíàëàì èçäàòåëüñòâà Karger è Walter de Gruyter Ñòàðòîâàë íîâûé ïðîåêò ÌÈÖ ïî ïîäêëþ÷åíèþ ê áèáëèîãðàôè÷åñêîìó ñïðàâî÷íèêó BOWKER'S GLOBAL Books In Print ÌÈÖ ïðåäñòàâëÿåò ñâîé íîâûé ïðîåêò ïî ïîäêëþ÷åíèþ ê ñïðàâî÷íèêó ïî ïåðèîäèêå Ulrich's Periodical Directory 2003 (c) www.miclibrary.ru ... document.write("");

89. Ìåæäóíàðîäíûé Èíôîðìàöèîííûé Öåíòð, ýëåêòð The summary for this Russian page contains characters that cannot be correctly displayed in this language/character set. http://www.miclibrary.ru/index-ea=1&ln=1&shp=1&chp=showgood&num=4403

Êíèãè íà CD newmenu ICQ Ñàíêò-Ïåòåðáóðã, 23-28 ìàÿ : X Åæåãîäíàÿ Êîíôåðåíöèÿ ÐÁÀ è IV ìåæäóíàðîäíàÿ êíèæíàÿ ÿðìàðêà "Íåâñêèé êíèæíûé ôîðóì" Ïîäêëþ÷åíèå ê ìèðîâûì áèáëèîãðàôè÷åñêèì áàçàì äàííûõ Global Books in Print è Ulrich`s Periodicals Directory. Lecture Notes in Mathematics èçäàòåëüñòâà Springer Verlag. Cïåöèàëüíîå ïðåäëîæåíèå äëÿ áèáëèîòåê! ... Óâàæàåìûå êîëëåãè, Ìåæäóíàðîäíûé Èíôîðìàöèîííûé Öåíòð ïðèãëàøàåò Âàñ ïîäêëþ÷èòüñÿ â òåñòîâîì äîñòóïå ê æóðíàëàì èçäàòåëüñòâà "Taylor and Francis", êîòîðûé íà÷íåòñÿ ñ ñåðåäèíû ìàÿ 2004 ãîäà. ÌÈÖ ïðèãëàøàåò ïðèíÿòü ó÷àñòèå â òåñòîâîì äîñòóïå ýëåêòðîííûõ æóðíàëîâ Bentham Science publisher. Ïîñìîòðèòå ñïèñîê æóðíàëîâ è ïîäêëþ÷àéòåñü. Òåñòîâûé äîñòóï ïðîäëèòñÿ 3 ìåñÿöà ñ ìîìåíòà ïîäêëþ÷åíèÿ.  ïðèëîæåíèè Âû íàéäåòå ñïèñîê æóðíàëîâ è ôîðìóëÿð äëÿ çàïîëíåíèÿ. Æäåì Âàøó ðåãèñòðàöèþ.Ñêà÷àòü àíêåòó äëÿ ðåãèñòðàöèè Âû ìîæåòå ÌÈÖ ïðåäñòàâëÿåò 2 ïðîåêòà: ïîäêëþ÷åíèå ê æóðíàëàì èçäàòåëüñòâà Karger è Walter de Gruyter Ñòàðòîâàë íîâûé ïðîåêò ÌÈÖ ïî ïîäêëþ÷åíèþ ê áèáëèîãðàôè÷åñêîìó ñïðàâî÷íèêó BOWKER'S GLOBAL Books In Print ÌÈÖ ïðåäñòàâëÿåò ñâîé íîâûé ïðîåêò ïî ïîäêëþ÷åíèþ ê ñïðàâî÷íèêó ïî ïåðèîäèêå Ulrich's Periodical Directory 2003 (c) www.miclibrary.ru ... document.write("");

90. List Of Scientists By Field http://www.indiana.edu/~newdsb/e.html

East, Edward Murray Easton, Cornelis Easton, Cornelis Eaton, Amos Eaton, Amos Eaton, Amos Ebel, Johann Gottfried Ebel, Johann Gottfried Eberth, Carl Joseph Eberth, Carl Joseph Eckart, Carl Henry Eckart, Carl Henry Eckert, Wallace John Eckert, Wallace John Eddington, Arthur Stanley Eddington, Arthur Stanley Edelman, Cornelis Hendrik Edinger, Johanna Gabrielle Otillie Edison, Thomas Alva Edwardes, David Edwards, Austin Burton Egas Moniz, Antonio Caetano de Abreu Freire Egorov, Dimitrii Fedorovich Ehrenberg, Christian Gottfried Ehrenfest, Paul Ehrenhaft, Felix Ehresmann, Charles Ehret, Georg Dionysius Ehrlich, Paul Eichenwald, Aleksandr Aleksandrovich Eichenwald, Aleksandr Aleksandrovich Eichler, August Wilhelm Eichwald, Karl Eduard Ivanovich Eichwald, Karl Eduard Ivanovich Eigenmann, Carl H. Eijkman, Christiaan Eijkman, Christiaan Eimer, Theodor Gustav Heinrich Einstein, Albert Einthoven, Willem Eisenhart, Luther Pfahler Eisenstein, Ferdinand Gotthold Max Ekeberg, Anders Gustaf Ekeberg, Anders Gustaf Ekman, Vagn Walfrid Elhuyar, Fausto d' Elhuyar, Fausto d'

91. 19? The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www1.emath.pu.edu.tw/mkuo/æ•¸å­¸å®¶çš„å°æ• äº‹/IV/1

92. ?. The summary for this Russian page contains characters that cannot be correctly displayed in this language/character set. http://www.ega-math.narod.ru/Reid/book.htm

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