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鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁＋銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞�锛涘潎鎻愪緵鏀惰不(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
澶ч€ｆ捣浜嬪ぇ瀛�(xu茅)纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)鑰冪爺澶х侗
鑰冭│绉戠洰锛氭暩(sh霉)瀛�(xu茅)鍒嗘瀽
瑭﹀嵎婊垮垎鍙婅€冭│鏅�(sh铆)闁擄細瑭﹀嵎婊垮垎鐐� 150 鍒�锛岃€冭│鏅�(sh铆)闁撶偤 180 鍒嗛悩銆�
鑰冭│鍏�(n猫i)瀹�
涓€銆佸垎鏋愬熀绀�(ch菙)
(1) 瀵�(sh铆)鏁�(sh霉)姒傚康銆佺⒑鐣�
(2) 鍑芥暩(sh霉)姒傚康
(3) 搴忓垪妤甸檺鑸囧嚱鏁�(sh霉)妤甸檺
(4) 鐒＄澶ц垏鐒＄灏�
(5) 閫ｇ簩(x霉)姒傚康鍙婂熀鏈€ц唱(zh矛)锛屼竴鑷撮€ｇ簩(x霉)鎬�
(6) 鏀舵杺鍘熺悊
浜�銆佷竴鍏冨井鍒嗗(xu茅)
(1) 灏�(d菐o)鏁�(sh霉)姒傚康鍙婂咕浣曟剰缇�
(2) 姹傚皫(d菐o)鍏紡姹傚皫(d菐o)娉曞墖
(3) 楂橀殠灏�(d菐o)鏁�(sh霉)
(4) 寰垎
(5) 寰垎涓€煎畾鐞�
(6) L鈥橦ospital 娉曞墖
(7) Taylor 鍏紡
(8) 鎳�(y墨ng)鐢ㄥ皫(d菐o)鏁�(sh霉)鐮旂┒鍑芥暩(sh霉)
涓夈€佷竴鍏冪⿳鍒嗗(xu茅)
(1) 涓嶅畾绌嶅垎娉曡垏鍙⿳鍑芥暩(sh霉)椤�
(2) 瀹氱⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)鑸囪▓(j矛)绠�
(3) 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
(4) 寤ｇ京绌嶅垎
鍥�銆佺礆(j铆)鏁�(sh霉)
(1) 鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬杺鏁ｅ垽鍒ヨ垏鎬ц唱(zh矛)
(2) 鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鑸囦竴鑷存敹鏂傛€�
(3) 鍐礆(j铆)鏁�(sh霉)
(4) Fourier 绱�(j铆)鏁�(sh霉)
浜斻€佸鍏冨井鍒嗗(xu茅)
(1) 姝愭皬绌洪枔
(2) 澶氬厓鍑芥暩(sh霉)鐨勬サ闄�
(3) 澶氬厓閫ｇ簩(x霉)鍑芥暩(sh霉)
(4) 鍋忓皫(d菐o)鏁�(sh霉)鑸囧井鍒�
(5) 闅卞嚱鏁�(sh霉)瀹氱悊
(6) Taylor 鍏紡
(7) 澶氬厓寰垎瀛�(xu茅)鐨勫咕浣曟噳(y墨ng)鐢�
(8) 澶氬厓鍑芥暩(sh霉)鐨勬サ鍊�
鍏�銆佸鍏冪⿳鍒嗗(xu茅)
(1) 閲嶇⿳鍒嗙殑姒傚康鑸囨€ц唱(zh矛)
(2) 閲嶇⿳鍒嗙殑瑷�(j矛)绠�
(3) 浜岄噸銆佷笁閲嶅唬缇╃⿳鍒�
(4) 鍚弮璁婇噺鐨勬甯哥⿳鍒嗗拰寤ｇ京绌嶅垎
(5) 鏇茬窔绌嶅垎鑸� Green 鍏紡
(6) 鏇查潰绌嶅垎
(7) Gauss 鍏紡銆丼tokes 鍏紡鍙婄窔绌嶅垎鑸囪矾寰戠劇闂�(gu膩n)
(8) 鍫�(ch菐ng)璜栧垵姝�
鍩烘湰瑕佹眰
涓€銆佸垎鏋愬熀绀�(ch菙)
(1) 浜嗚В瀵�(sh铆)鏁�(sh霉)鍏悊锛岀悊瑙ｄ笂纰虹晫鍜屼笅纰虹晫鐨勬剰缇┿€傛帉鎻＄禃灏�(du矛)鍊间笉绛�
寮忓強骞� 鍧囧€间笉绛夊紡銆�
(2) 鐔熺反鎺屾彙鍑芥暩(sh霉)姒傚康锛堝瀹氱京鍩�銆佸€煎煙銆佸弽鍑芥暩(sh霉)绛夛級銆�
(3) 鎺屾彙搴忓垪妤甸檺鐨勬剰缇�銆佹€ц唱(zh矛)锛堢壒鍒ワ紝鍠(di脿o)搴忓垪鐨勬サ闄愬瓨鍦ㄦ€у畾
鐞嗭級鍜岄亱(y霉n)绠楁硶鍓�锛岀啛绶存帉鎻℃眰搴忓垪妤甸檺鐨�? ?? 鏂规硶銆�
(4) 鎺屾彙鍑芥暩(sh霉)妤甸檺鐨勬剰缇�銆佹€ц唱(zh矛)鍜岄亱(y霉n)绠楁硶鍓囷紙鑷畩閲忚定浜庢湁闄愭暩(sh霉)鍜�
瓒ㄤ簬鐒￠檺鍏╃ó鎯呭舰锛�锛岀啛绶存帉鎻℃眰鍑芥暩(sh霉)妤甸檺鐨� M? ? 鏂规硶锛屼簡瑙ｅ唬缇�
妤甸檺鍜屽柈鍋�(c猫)妤甸檺鐨勬剰缇�銆�
(5) 鐔熺反鎺屾彙姹傚簭鍒楁サ闄愬拰鍑芥暩(sh霉)妤甸檺鐨勫父鐢ㄦ柟娉曪紙濡傚垵绛夎畩褰€€佽畩
閲忎唬鎻�銆佸叐閭婂ぞ娉曞墖鍜屽叐鍊�(g猫)閲嶈妤甸檺锛夋眰妤甸檺鐨勫熀鏈妧宸э紝浠ュ強鎳�(y墨ng)鐢�
Stokes 鍏紡姹傚簭鍒楁サ闄愮殑鏂规硶銆�
(6) 鐞嗚В鐒＄澶ч噺鍜岀劇绐皬閲忕殑鎰忕京锛屼簡瑙ｅ悓闅庡拰楂橈紙浣庯級闅庣劇绐�
澶э紙?銆傗敐搴峰泭楗瑇锛岀啛绶翠娇鐢ㄧ瓑鍍�(ji脿)鐒＄灏忔浛鎻涙眰妤甸檺銆�
(7) 鐔熺反鎺屾彙鍑芥暩(sh霉)鍦ㄤ竴榛�(di菐n)鍙婂湪涓€鍊�(g猫)鍗€(q奴)闁撲笂閫ｇ簩(x霉)鐨勬蹇�锛岀悊瑙ｅ嚱鏁�(sh霉)鍏�
椤為枔鏂烽粸(di菐n)鐨勬剰缇�锛屾帉鎻″垵绛夊嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬�锛岀悊瑙ｅ崁(q奴)闁撳瀹氱悊鍜屼粙鍊煎畾
鐞嗐€傜悊瑙ｄ竴鑷撮€ｇ簩(x霉)鍜屼笉涓€鑷撮€ｇ簩(x霉)鐨勬蹇�銆�
(9) 鎺屾彙搴忓垪鏀舵杺鐨勫厖鍒嗗繀瑕佹浠跺強鍑芥暩(sh霉)妤甸檺锛堢暥(d膩ng)鑷畩閲忚定浜庢湁闄�
鏁�(sh霉)鍙婅定浜庣劇绐叐绋儏褰級瀛樺湪鐨勫厖鍒嗗繀瑕佹浠�銆�
浜屻€佷竴鍏冨井鍒嗗(xu茅)
(1) 鎺屾彙灏�(d菐o)鏁�(sh霉)鐨勬蹇靛拰骞句綍鍙婄墿鐞嗘剰缇�锛屼簡瑙ｅ柈鍋�(c猫)灏�(d菐o)鏁�(sh霉)鐨勬剰缇�锛屽苟
鑳界敤瀹氱京姹傚嚱鏁�(sh霉)鍦ㄧ郸瀹氶粸(di菐n)鐨勫皫(d菐o)鏁�(sh霉)銆�
(2) 鎳�(y墨ng)鐢ㄦ眰灏�(d菐o)鍏紡鍜屾硶鍓囩啛绶磋▓(j矛)绠楀嚱鏁�(sh霉)灏�(d菐o)鏁�(sh霉)锛屽寘鍚敱鍙冩暩(sh霉)寮忔柟绋嬬郸
鍑虹殑鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)銆侀毐鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)浠ュ強鍑芥暩(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)銆�
(3) 鐞嗚В鍑芥暩(sh霉)寰垎鐨勬蹇靛拰鍑芥暩(sh霉)鍙井鐨勫厖鍒嗗繀瑕佹浠�锛屼簡瑙ｄ竴闅庡井
鍒嗗舰寮忕殑涓嶈畩鎬�锛岃兘鍒╃敤寰垎浣滆繎浼艰▓(j矛)绠椼€�
(4) 鐞嗚В骞舵帉鎻″井鍒嗕腑鍊煎畾鐞嗭紙Rolle 瀹氱悊锛孡agrange 瀹氱悊鍜� Cauchy
涓€煎畾鐞嗭級锛屽苟鑳芥噳(y墨ng)鐢ㄥ畠鍊戣В姹哄嚱鏁�(sh霉)闆堕粸(di菐n)瀛樺湪鎬у強涓嶇瓑寮忚瓑鏄庣瓑鍟忛銆�
(5) 鐔熺反鎺屾彙鎳�(y墨ng)鐢� L鈥橦ospital 娉曞墖姹傚嚱鏁�(sh霉)妤甸檺鐨勬柟娉曘€�
(6) 鐞嗚В Taylor 鍏紡锛圠agrange 浣欓爡(xi脿ng)鍜� Peano 浣欓爡(xi脿ng)锛夌殑鎰忕京锛屽苟
鐔熻浜斿€�(g猫)鍩烘湰鍏紡锛堝湪 x=0 榛�(di菐n)鐨勫付鏈� Peano 浣欓爡(xi脿ng)鐨� Taylor 鍏紡锛夛紝
鑳藉皣绲﹀畾鍑芥暩(sh霉)鍦ㄦ寚瀹氶粸(di菐n)灞曟垚 Taylor 绱�(j铆)鏁�(sh霉)锛屾帉鎻℃噳(y墨ng)鐢� Taylor 鍏紡瑙ｆ焙
涓嶇瓑寮忚瓑鏄�銆佹眰鍑芥暩(sh霉)妤甸檺绛夊晱椤岀殑鍩烘湰鎶€宸�銆�
(7) 鐔熺反鎺屾彙鎳�(y墨ng)鐢ㄥ皫(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鍗囬檷銆佸嚬鍑告€т互鍙婄暙鍑哄嚱鏁�(sh霉)鍦栧儚鐨�
鏂规硶锛屼互鍙婃眰涓€鍏冨嚱鏁�(sh霉)妤靛€煎拰鏈€鍊肩殑鏂规硶銆�
涓�銆佷竴鍏冪⿳鍒嗗(xu茅)
(1) 鐞嗚В涓嶅畾绌嶅垎姒傚康鍜屽熀鏈€ц唱(zh矛)锛岀啛瑷樺熀鏈⿳鍒嗚〃锛岀悊瑙ｅ苟鎺屾彙
鎻涘厓娉曞拰鍒嗛儴绌嶅垎娉曠殑鎰忕京鍜屾柟娉�锛岃В鎳�(y墨ng)鐢ㄤ粬鍊戠啛绶磋▓(j矛)绠椾笉寰�(f霉)闆滅殑涓�
瀹氱⿳鍒嗐€�
(2) 浜嗚В鍙⿳鍒嗗嚱鏁�(sh霉)椤炵殑鎰忕京鍙婂叾绌嶅垎娉�锛岀啛绶存帉鎻℃湁鐞嗗嚱鏁�(sh霉)銆佷笁
瑙掑嚱鏁�(sh霉)鏈夌悊寮忓強绨�(ji菐n)鍠殑鏍瑰紡鐨勬湁鐞嗗紡鐨勭⿳鍒嗘柟娉�銆�
(3) 鐞嗚В瀹氱⿳鍒嗙殑姒傚康锛屾帉鎻″畾绌嶅垎鐨勫熀鏈€ц唱(zh矛)鍙婂嚱鏁�(sh霉)鍦ㄦ湁闄愬崁(q奴)闁�
涓婂彲绌嶇殑鍏呭垎蹇呰姊濅欢锛岀啛绶存帉鎻″畾绌嶅垎鐨勮▓(j矛)绠楁柟娉�銆備簡瑙ｈ畩闄愬畾绌�
鍒嗙殑鎬ц唱(zh矛)锛屾帉鎻＄⿳鍒嗕腑鍊煎畾鐞�銆�
(4) 鐔熺反鎳�(y墨ng)鐢ㄥ畾绌嶅垎瑷�(j矛)绠楀钩闈㈡洸绶氬姬闀�(zh菐ng)銆佸钩闈㈠湒褰㈤潰绌嶃€佺珛楂旈珨绌�銆�
鏃嬭綁(zhu菐n)鏇查潰琛ㄩ潰绌�锛屽苟瑙ｆ噳(y墨ng)鐢ㄤ簬姹傚潎鍕诲钩闈㈠湒褰㈤噸蹇冨潗妯�(bi膩o)绛夌啊(ji菐n)鍠墿鐞�銆�
鍔涘(xu茅)鍟忛銆�
(5) 鐞嗚В寤ｇ京绌嶅垎鍙婂叾鏀舵杺銆佺禃灏�(du矛)鏀舵杺鍜岀櫦(f膩)鏁ｇ殑鎰忕京锛屾帉鎻″唬缇╃⿳
鍒嗘敹鏂傜殑鍒ゅ畾娉曞墖銆�
鍥涖€佺礆(j铆)鏁�(sh霉)
(1) 鎺屾彙鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁ｅ拰绲曞皪(du矛)鏀舵杺鐨勬蹇点€佺礆(j铆)鏁�(sh霉)鏀舵杺鐨勫厖鍒�
蹇呰姊濅欢锛圕auchy 婧�(zh菙n)鍓囷級锛屾敹鏂傚拰绲曞皪(du矛)鏀舵杺绱�(j铆)鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
(2) 鐔熺反鎺屾彙姝ｉ爡(xi脿ng)绱�(j铆)鏁�(sh霉)鏂傛暎鍒ゅ垾娉曪紙姣旇純鍒ゅ垾娉�銆丏鈥橝lembert 鍒�
鍒ユ硶銆丆auchy 鏍瑰紡鍒ゅ垾娉曚互鍙� Cauchy 绌嶅垎鍒ゅ垾娉曪級锛屾帉鎻′竴鑸爡(xi脿ng)绱�(j铆)
鏁�(sh霉)鏂傛暎鍒ゅ垾鏂规硶銆傝兘瑷�(j矛)绠椾竴浜涚壒娈婃暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勫拰銆�
(3) 鐞嗚В鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺鐨勬剰缇╁苟鑳界⒑瀹氬叾鏀舵杺鍩�銆傜悊瑙ｅ嚱鏁�(sh霉)搴忓垪
涓€鑷存敹鏂備互鍙婂嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)涓€鑷存敹鏂傜殑鎰忕京锛屾帉鎻″嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)涓€鑷存敹鏂�
鐨勫垽鍒ユ硶鍓囷紙鍖呭惈 Cauchy 婧�(zh菙n)鍓囷紝Weierstrass 鍒ゅ垾娉�锛孉bel 鍒ゅ垾娉曪紝
Dirichlet 鍒ゅ垾娉曠瓑锛夊強涓€鑷存敹鏂傜礆(j铆)鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
(4) 鐞嗚В鍐礆(j铆)鏁�(sh霉)鐨勬蹇靛苟鑳界⒑瀹氬叾鏀舵杺鍗婂緫銆傛帉鎻″啰绱�(j铆)鏁�(sh霉)鐨勫熀鏈€�
璩�(zh矛)鍜岄亱(y霉n)绠楁硶鍓�锛岀啛瑷樹簲鍊�(g猫)鍩烘湰鍐礆(j铆)鏁�(sh霉)灞曢枊寮�銆傝兘姹傚嚭绲﹀畾鍑芥暩(sh霉)鍦ㄦ寚瀹�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
