µÛ¦W²q·Qªººô¯¸
2004-5-27 [°ê»Ú¼Æ¾Ç°ÊºA]
¦b¼Æ¾Ç¤ý°ê¤¤³Ì§l¤Þ¤Hªº²ö¹L©ó¦Ê¦~Ãø¸ÑªºµÛ¦W²q·Q¤F¡C¤@¨ÇµÛ¦Wªº²q·Q¡A¦p¾¤°Ò²q·Q¡A
¶Oº¸°¨¤j©w²z¡BÃe¥[µÜ²q·Qµ¥µ¥¡AµL½×¸Ñ¨M»P§_¡A³£«ü¤Þ¤F·sªº¼Æ¾Çµo®i¤è¦V¡C¤µ¤Ñ§ÚÌ
¨Ó¤¶²Ð¤@¨Ç¦³Ãö³o¨ÇµÛ¦W²q·Qªººô¯¸¡C
ªñ¦~¨Ó³Ì¤Þ¤Hª`¥Øªº¼Æ¾Ç²q·Q·s»D¨Ó¦Û¬ü°êªº§J¹p¼Æ¾Ç¬ã¨s©Ò
http://www.claymath.org
¦b·s¥@¬ö¶}©lªº2000¦~¡A§J¹p¬ã¨s©Ò¥Ñ¤@¬y¼Æ¾Ç®a²Õ¦¨ªº¾Ç³N©eû·|´£¥X¤F¤CÓ¥LÌ»{爲
³Ì«nªº¼Æ¾Ç°ÝÃD¡A¨ä¤¤¥]¬Aè¤~´£¨ìªº¾¤°Ò²q·Q©MÃe¥[µÜ²q·Q¡C¦P®É§J¹p¬ã¨s©Ò¹ï³o¤C
Ó°ÝÃDªº¸Ñ¨M¨CÓ³£Äa½à100¸U¬ü¤¸¡A¦b¼Æ¾Ç¬É¤Î¤½’Û´CÅ餤³£ÅF°Ê¤@®É¡C¦b§J¹p¬ã¨s©Òªº
ºô¶¡A¤j®a¥i¥H¤U¸ü³o¤CÓ°ÝÃDªº·Ç½T´yz¡A©M¥Ñ¤C¦ì¬ÛÀ³ªº¼Æ¾Ç®a¹ï°ÝÃDªº¸ÑÄÀªº¿ý¼v
¡C(
http://www.claymath.org/Millennium_Prize_Problems/¡C
ȱoª`·Nªº¬O³o¤CÓ°ÝÃD¨Ã¨S¦³¥]¬A§Ú°ê¼Æ¾Ç·R¦nªÌ¼ôª¾ªºô¼w¤Ú»®²q·Q¡C§Ú°ê¼Æ¾Ç®a³¯
´º¼í¡B¤ý¤¸¡B¼ï©Ó¬}´¿¸g¦b³o¤@°ÝÃD¤W°µ¥X¤F¥@¬É»â¥ýªºµ²ªG¡A¦ý¬O²q·Q¤´µM¨S¦³³Q³Ì«á
¸Ñ¨M¡C¨Æ¹ê¤W¥@¬É¤W¹ïô¼w¤Ú»®²q·Q·P¿³½ìªº¤HÁÙ¤j¦³¤H¦b¡A»P§J¹p°ÝÃD´X¥G¦P®É¡A^°ê
ªk¥¬¥Xª©ªÀ¤]Äa½à100¸U¬ü¤¸µ¹¦b¨â¦~¤º¸Ñ¨Mô¼w¤Ú»®²q·Qªº¤H
(
http://www.apostolosdoxiadis.com/million.htm)¡C³oÓ¥Xª©ªÀ¦ü¥G¦³¨Çª£§@¶ûºÃ¡A¦Ó²{¦b°ÝÃD¸Ñ¨M´Á¤w¹L¡A
¦]爲¨S¦³¤H´£¥X»â½à¡A¼úª÷¤j·§¤]´N¤£¤F¤F¤§¤F¡Cô¼w¤Ú»®²q·Q©M¬ÛÃöªº¼Æ½×¤è±ªº²q·Q
¥i¥H¦b³oÓºô¶(
http://www.utm.edu/research/primes/notes/conjectures/
§ä¨ì¡C
¥t¤@Ӽƽ׺ô¶¤j¥þ¬O (
http://www.math.uga.edu/~ntheory/web.html
¡C §J¹p¬ã¨s©Òªº °ÝÃD¦b¬YºØ·N¸q¤U¼Ò¥é¤F1900¦~¼Æ¾Ç¤j®v§Æº¸§B¯S´£¥Xªº23Ó°ÝÃD¡C³o¨Ç°ÝÃD¦Ü¤µ¤´µM¥¼
³Q¥þ³¡¸Ñ¨M¡A°ÝÃDªº²{ª¬©M¬ÛÃö¤º®e¥i¥H¦b¥H¤Uºô¶§ä¨ì¡G(
http://aleph0.clarku.edu/~djoyce/hilbert/)
(
http://www.mathematik.uni-bielefeld.de/~kersten/hilbert/problems.html
¡C¥t¥~¨â ¥»Ãö©ó§Æº¸§B¯S°ÝÃD¾ú¥vªº±MµÛ¤]èè¥Xª©¡A¸Ô±¡½Ð¬Ý¥Xª©ªÀºô¶(
http://www.akpeters.com/book.asp?BID=160)
(
http://www.oup-usa.org/isbn/0198506511.html¡C
¦b³Q¸Ñ¨Mªº²q·Q¤¤³ÌµÛ¦Wªºnºâ¶Oº¸°¨¤j©w²z¤F¡C¦b³oÓ²q·Q³Ì«á³Q^°ê¼Æ¾Ç®aAndrew W
iles¸Ñ¨M«á¡A³o¤@©w²zªº¾ú¥v©M³Ì«áÃÒ©ú¤w¸g¦b¤¬Ápºô¤W³QÁ`µ²¤F¡C½Ð¬Ý(
http://math.albany.edu:8010/g/Math/topics/fermat/)¡CµM¦Ó¤@Ó§ó¤@¯ëªº²q·Q²{¦b¤S¶}©l³QÄa½à¤F¡A
³o´N¬O©Ò¿×¤ñº¸²q·Q¡A¥¦¥]§t¤F¤w¸Ñ¨Mªº¶Oº¸°¨¤j©w²z¡C¤@¦ì¬ü°êªº¥ø·~®aݼƾǷR¦nªÌ
¤ñº¸(Andrew Beal) ®½¸ê10¸U¬ü¤¸±Nn¼úµ¹¸Ñ¨M³o¤@²q·Qªº¼Æ¾Ç®a¡C(
http://www.bealconjecture.com/)¡C
¥¼¸Ñ¨Mªº¼Æ¾Ç°ÝÃD¤j¤j¤p¤p¡A³\¦h°ÝÃD¤]¨Ã¤£ª¾¦W¡C¦³¤£¤Ö¼Æ¾Ç·R¦nªÌÁÙ§â³o¨Ç°ÝÃD·j¶°
Âk¯Ç¦¨ºô¶¡A¦³¿³½ìªºÅªªÌ¥i¥H¦bºô¸ô¤W·j¯Á¤@¤U¡C¨ä¤¤¤ñ¸û¦³¦Wªº¤@Ó¬O(
http://www.mathsoft.com/mathresources/problems/0,,0,00.html)¡C³Ì«á§ÚÌÀ³¸Ó´£¨ìªº¬O¤@¨Ç¼Æ¾Ç
®a¦Û¤v¤]³ßÅw¶H§Æº¸§B¯S¨º¼Ë¦C¥X¤@Ó°ÝÃD²M³æ¡C¦bºô¤W¥i¥H§ä¨ì³Ì¦³¦Wªº¤j·§¬O¬ü°ê¼Æ
¾Ç®a´µ±öº¸´X¦~«e´£¥Xªº°ÝÃD¡C¥Lªº°ÝÃD¶°¹ê»Ú¤W¬O¤@½g½×¤å(
http://www.amath.washington.edu/courses/572-spring-2002/smale.pdf )¡CµØ¸Ç¼Æ¾Ç®a¥C¦¨®ä¤]¦h¦¸´£¥X¹L´X¦ó
¤è±ªº¥¼¸Ñ¨M°ÝÃD¡A¦ý¤j³¡¤À³£¨S¦³¦bºô¤W¥X²{¡A¥i¥H§ä¨ìªº¬O»OÆW¤@Óºô¯¸¤Wªº¤QÓ°Ý
ÃD(
http://bbs.ee.ntu.edu.tw/boards/Physics/14/58.html)¡C
--
¡° ¨Ó·½:¡D®ý¦¿¤j¾Ç®ü¯Ç¦Ê¤t¯¸
http://bbs.zju.edu.cn
[FROM: manifold]