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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€冨崥鐪熼銆佺瓟妗堬紝閮ㄥ垎瀛�(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞�锛涘潎鎻愪緵鏀惰不涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛炴搳鈥�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛炴搳鈥�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│鏅傞枔锛氳│鍗锋豢鍒嗙偤 150 鍒�锛岃€冭│鏅傞枔鐐� 180 鍒嗛悩銆�
鑰冭│鍏�(n猫i)瀹�
涓€銆佸垎鏋愬熀绀�(ch菙)
(1) 瀵︽暩(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�銆佷竴鍏冪⿳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▓绠�
(3) 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
(4) 寤ｇ京绌嶅垎
鍥�銆佺礆鏁�(sh霉)
(1) 鏁�(sh霉)闋呯礆鏁�(sh霉)鐨勬杺鏁ｅ垽鍒ヨ垏鎬ц唱(zh矛)
(2) 鍑芥暩(sh霉)闋呯礆鏁�(sh霉)鑸囦竴鑷存敹鏂傛€�
(3) 鍐礆鏁�(sh霉)
(4) Fourier 绱氭暩(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⿳鍒嗙殑瑷堢畻
(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) 鍫磋珫鍒濇
鍩烘湰瑕佹眰
涓€銆佸垎鏋愬熀绀�(ch菙)
(1) 浜嗚В瀵︽暩(sh霉)鍏悊锛岀悊瑙ｄ笂纰虹晫鍜屼笅纰虹晫鐨勬剰缇�銆傛帉鎻＄禃灏嶅€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�锛屽柈瑾�(di脿o)搴忓垪鐨勬サ闄愬瓨鍦ㄦ€у畾
鐞嗭級鍜岄亱绠楁硶鍓�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嬮噸瑕佹サ闄愶級姹傛サ闄愮殑鍩烘湰鎶€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瓑鍍圭劇绐皬鏇挎彌姹傛サ闄�銆�
(7) 鐔熺反鎺屾彙鍑芥暩(sh霉)鍦ㄤ竴榛炲強鍦ㄤ竴鍊嬪崁(q奴)闁撲笂閫ｇ簩(x霉)鐨勬蹇碉紝鐞嗚В鍑芥暩(sh霉)鍏�
椤為枔鏂烽粸鐨勬剰缇�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�銆傜悊瑙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╋紝骞�
鑳界敤瀹氱京姹傚嚱鏁�(sh霉)鍦ㄧ郸瀹氶粸鐨勫皫(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▓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▓绠�銆�
(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�銆�
(6) 鐞嗚В Taylor 鍏紡锛圠agrange 浣欓爡鍜� Peano 浣欓爡锛夌殑鎰忕京锛屽苟
鐔熻浜斿€嬪熀鏈叕寮忥紙鍦� x=0 榛炵殑甯舵湁 Peano 浣欓爡鐨� Taylor 鍏紡锛夛紝
鑳藉皣绲﹀畾鍑芥暩(sh霉)鍦ㄦ寚瀹氶粸灞曟垚 Taylor 绱氭暩(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曪紝瑙ｆ噳(y墨ng)鐢ㄤ粬鍊戠啛绶磋▓绠椾笉寰�(f霉)闆滅殑涓�
瀹氱⿳鍒�銆�
(2) 浜嗚В鍙⿳鍒嗗嚱鏁�(sh霉)椤炵殑鎰忕京鍙婂叾绌嶅垎娉曪紝鐔熺反鎺屾彙鏈夌悊鍑芥暩(sh霉)銆佷笁
瑙掑嚱鏁�(sh霉)鏈夌悊寮忓強绨″柈鐨勬牴寮忕殑鏈夌悊寮忕殑绌嶅垎鏂规硶銆�
(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▓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畾绌嶅垎瑷堢畻骞抽潰鏇茬窔寮ч暦銆佸钩闈㈠湒褰㈤潰绌�銆佺珛楂旈珨绌�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噸蹇冨潗妯欑瓑绨″柈鐗╃悊銆�
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嶆敹鏂傚拰鐧�(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�銆佺礆鏁�(sh霉)
(1) 鎺屾彙鏁�(sh霉)闋呯礆鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁ｅ拰绲曞皪鏀舵杺鐨勬蹇�銆佺礆鏁�(sh霉)鏀舵杺鐨勫厖鍒�
蹇呰姊濅欢锛圕auchy 婧栧墖锛�锛屾敹鏂傚拰绲曞皪鏀舵杺绱氭暩(sh霉)鐨勬€ц唱(zh矛)銆�
(2) 鐔熺反鎺屾彙姝ｉ爡绱氭暩(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′竴鑸爡绱�
鏁�(sh霉)鏂傛暎鍒ゅ垾鏂规硶銆傝兘瑷堢畻涓€浜涚壒娈婃暩(sh霉)闋呯礆鏁�(sh霉)鐨勫拰銆�
(3) 鐞嗚В鍑芥暩(sh霉)闋呯礆鏁�(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)闋呯礆鏁�(sh霉)涓€鑷存敹鏂傜殑鎰忕京锛屾帉鎻″嚱鏁�(sh霉)闋呯礆鏁�(sh霉)涓€鑷存敹鏂�
鐨勫垽鍒ユ硶鍓囷紙鍖呭惈 Cauchy 婧栧墖锛學eierstrass 鍒ゅ垾娉曪紝Abel 鍒ゅ垾娉曪紝
Dirichlet 鍒ゅ垾娉曠瓑锛夊強涓€鑷存敹鏂傜礆鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
(4) 鐞嗚В鍐礆鏁�(sh霉)鐨勬蹇靛苟鑳界⒑瀹氬叾鏀舵杺鍗婂緫銆傛帉鎻″啰绱氭暩(sh霉)鐨勫熀鏈€�
璩�(zh矛)鍜岄亱绠楁硶鍓囷紝鐔熻浜斿€嬪熀鏈啰绱氭暩(sh霉)灞曢枊寮�銆傝兘姹傚嚭绲﹀畾鍑芥暩(sh霉)鍦ㄦ寚瀹�
榛炵殑鍐礆鏁�(sh霉)灞曢枊寮忓強鎳�(y墨ng)鐢ㄥ啰绱氭暩(sh霉)閬嬬畻姹備竴浜涚礆鏁�(sh霉)鐨勫拰銆�
(5) 鐞嗚В鍑芥暩(sh霉) Fourier 灞曢枊寮忕殑鎰忕京锛屾帉鎻℃眰 Fourier 灞曢枊寮忕殑鍩�
鏈柟娉�銆備簡瑙� Fourier 绱氭暩(sh霉)鐨勬敹鏂傛€у畾鐞�銆侀€愰爡绌嶅垎鍜岄€愰爡姹傚皫(d菐o)瀹氱悊
浠ュ強 Parseval 绛夊紡锛屽苟鑳芥噳(y墨ng)鐢� Fourier 绱氭暩(sh霉)姹傛煇浜涚礆鏁�(sh霉)鐨勫拰銆�
浜�銆佸鍏冨井鍒嗗(xu茅)
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鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
