ù°¨©M¼Ú¬w¤¤¥@¬öªº¼Æ¾Ç¡£Mathematics in Roma and medienal Europe¡¤

        ù°¨¤H¬¡ÅD©ó¾ú¥v»R»O¤Wªº®É´Á¤j¬ù±q¤½¤¸«e¤C¥@¬ö¦Ü¤½¤¸¤­¥@¬ö¡C¥L­Ì¦b­x¨Æ¤W©M¬Fªv¤W´¿¨ú±o·¥¤j¦¨¥\¡A¦b¤å¤Æ¤è­±¤]»á¦³«Ø¾ð¡A¦ý¥L­Ìªº¼Æ¾Ç«o«Ü¸¨«á¡A¥u¦³¤@¨Ç²Ê²Lªººâ³N©Mªñ¦üªº´X¦ó¤½¦¡¡CµÛ¦Wªº¬ì¾Ç®ÑÄy¦³ºû¯S¾|ºû¥§´µªº¡m«Ø¿v¤Q®Ñ¡n¡£¤½¤¸«e14¦~¡¤¡C®Ñ¤¤¤ñ¸ûª`­«³B²z¼Æ¾Ç°ÝÃD¡A¨Ï¥Î¤F«Ø¿vª«ªº¥­­±Åé©M¥ßµø¹Ï¡A¥i¥H¬Ý¨ìµeªk´X¦óªºµÞªÞ¡C¦¹¥~¡Aù°¨¤H¹ï¾äªk§ï­²¤]¦³¤@©wªº°^Äm¡C 

        ±q¦èù°¨«Ò°ê·À¤`¡£¤½¤¸476¦~¡¤¨ì11¥@¬öºÙ¬°¼Ú¬wªº¶Â·t®É´Á¡C¦è¼Ú¤å¤Æ³B©ó§C¼é¡A°ò·þ±Ðªºµ´¹ï²ÎªvÄY­«¦a¯}Ãa¤F¬ì¾Çµo®i¡C³o¤@®É´Á¥u¥X²{¤Ö¼Æ´X¦ì¼ö¤ß¾Ç³Nªº¾ÇªÌ©M±Ð¤h¡G®î¹DªºÃ¹°¨¤½¥Á³Õ®J»ô¡£Boethius¡¤¡A­^°êªº±Ð¤h¾ÇªÌ¤ñ¼w¡£Bede¡¤©Mªüº¸§J·Å¡£Alcuin¡¤¡AµÛ¦Wªºªk°ê¾ÇªÌ¡B±Ð¤h¼öº¸«ôº¸¡£Gerbert¡¤¢w¢w¥L«á¨Ó¦¨¤F±Ð¬Ó¦èº¸ºû´µ¯S¤G¥@¡£Pope Sylvester II¡¤¡C

        ¤Q¤G¥@¬ö¬O¼Æ¾Ç¥v¤Wªº¤j½Ķ®É´Á¡A¬Oª¾ÃѶǼ½ªº¥@¬ö¡A¥Ñ¿p´µªL«O¦s¤U¨Óªº§Æþ¬ì¾Ç©M¼Æ¾Çªº¸g¨åµÛ§@¡A¥H¤Îªü©Ô§B¾ÇªÌ¼gªºµÛ§@¶}©l³Q¤j¶q½Ķ¬°©Ô¤B¤å¡A¨Ã¶Ç¤J¦è¼Ú¡C·í®É¥D­nªº¶Ç¼½¦aÂI¬O¦è¯Z¤ú©M¦è¦è¨½¡AµÛ¦WªºÂ½Ä¶®a¦³¤Ú«äªº­^°ê­×¤hªü¼w©Ô¯S¡£Adelard¡¤¡B§J¹p²ö¯Çªº®æ©Ô¦h¡£Gherardo¡¤¡B¤Á´µ¯SªºÃ¹§B¯S¡£Robert¡¤µ¥µ¥¡C

        ·N¤j§Qªº´´ªi¨º«´¡£Fibonacci¡¤¬O¤¤¥@¬ö³Ì³Ç¥Xªº¼Æ¾Ç®a¡C¥L¦­¦~¨ì¦U¦a®È¹C¡A¸g¤ñ¸û«á½T»{¦L«×¢wªü©Ô§B¼Æ½X¤Î¨ä°O¼Æªk¦b¹ê¥Î¤W³Ì¬°Àu¶V¡A¦^¨ì®a¶m«á¼g¦¨¡mºâ½L®Ñ¡n¡£Liber abaci,1202¡¤¡C³o³¡®Ñ¬OÁ¿ºâ³N©Mªìµ¥¥N¼Æªº¡AÁö»¡¹ê½è¤W¬O¿W¥ßªº¬ã¨s¡A¦ý¤]ªí²{¥X¨üªá©Ô¤l¦Ì¡£Al-knowarizmi¡¤©Mªü¥¬¡E¥d±K¦Õ¡£Abu Kamil¡¤ªº¥N¼Æ¾Çªº¼vÅT¡C³o³¡®Ñ¹ï¦L«×¢wªü©Ô§B¼Æ½Xªº¸ÔºÉ±Ô­z©M±j¦C¤ä«ù¡A¬O¦³§U©ó±N³o¨Ç²Å¸¹¤Þ¶i¼Ú¬wªº¡C´´ªi¨º«´ªº¥t¨â³¡µÛ§@¡m¹ê¥Î´X¦ó¡n¡£Practica geometriae¡A1220¡¤©M¡m¶H­­»ö®Ñ¡n¡£Liber quadratorum¡A1225¡¤¬O±Mªù°Q½×´X¦ó¡B¤T¨¤¾Ç©M¤£©w¤ÀªR¡A¦P¼Ë¬O¦³¿W³Ð©ÊªºµÛ§@¡C

        ¤Q¥|¥@¬ö¬Û¹ï¦a¬O¼Æ¾Ç¤Wªº¤£¤ò¤§¦a¡A³o¤@®É´Á³Ì¤jªº¼Æ¾Ç®a¬Oªk°êªºN¡E¶ø¹p´µ©i¡£Oresme¡¤¡A¦b¥LªºµÛ§@¤¤¡A­º¦¸¨Ï¥Î¤À¼Æ«ü¼Æ¡AÁÙ´£¥X¥Î§¤¼Ðªí¥ÜÂIªº¦ì¸m©M·Å«×ªºÅܤơA¥X²{¤FÅܶq©M¨ç¼Æªº·§©À¡C¥Lªº¤u§@¼vÅT¨ì¤åÃÀ´_¿³«á¥]¬A²Ã¥dº¸¦b¤ºªº¾ÇªÌ¡C

        ¤Q¤G¥@¬ö«á¡A¼Ú¬w¦U¦a¥X²{¤F³\¦h±q­ì±Ð·|¾Ç®Õ°ò¦¤WÂàÅܦӨӪº¤j¾Ç¡C¤Q¤T¥@¬ö¤W¥b¸­¡A¤Ú¾¤¡B¤û¬z¡B¼C¾ô¡B©¬¦h¥Ë©M¨º¤£°Ç´µµ¥¦aªº¤@¨Ç¤j¾ÇùØ¡A¼Æ¾Ç±Ð¨|¶}©l¿³°_¡A³o¨Ç¤j¾Ç¦¨¬°«á¥@¼Æ¾Çµo®iªº­«­n°ò¦a¡C