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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(f猫i)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
2018 骞存暩(sh霉)瀛�(xu茅)绯荤ⅸ澹爺绌剁敓鍏ュ(xu茅)鑰冭│澶х侗
鑰冭│绉戠洰鍚嶇ū锛氭暩(sh霉)瀛�(xu茅)鍒嗘瀽 鑰冭│绉戠洰浠ｇ⒓锛歔612]
涓€銆佽€冭│瑕佹眰锛�
1锛夎姹傝€冪敓鐔熺反鎾愭彙鏁�(sh霉)瀛�(xu茅)鍒嗘瀽鐨勫熀鏈蹇点€佸熀鏈悊璜栧拰鍩烘湰鏂规硶銆�
2锛夎姹傝€冪敓鍏锋湁鍤�(y谩n)鏍肩殑鏁�(sh霉)瀛�(xu茅)璜栬瓑鑳藉姏銆佽垑鍙嶄緥鑳藉姏鍜屽熀鏈▓绠楄兘鍔�銆�
3锛夎姹傝€冪敓浜嗚В鏁�(sh霉)瀛�(xu茅)鍒嗘瀽涓殑鍩烘湰姒傚康銆佺悊璜�銆佹柟娉曠殑瀵﹂殯渚嗘簮鍜屾鍙茶儗鏅紝
娓呮瀹冨€戠殑骞句綍鎰忕京鍜岀墿鐞嗘剰缇�锛屽垵姝ュ叿鍌欐噳(y墨ng)鐢ㄦ暩(sh霉)瀛�(xu茅)鍒嗘瀽瑙ｆ焙瀵﹂殯鍟忛鑳藉姏銆�
浜�銆佽€冭│鍏�(n猫i)瀹癸細
1) 妤甸檺鍜岄€ｇ簩(x霉)
a锛庣啛绶存帉鎻℃暩(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺鐨勬蹇�锛屽寘鎷暩(sh霉)鍒楃殑涓娿€佷笅妤甸檺鍜屽嚱鏁�(sh霉)鐨勫乏銆�
鍙虫サ闄�銆�
b锛庢帉鎻℃サ闄愮殑鎬ц唱(zh矛)鍙婂洓鍓囬亱(y霉n)绠楁€ц唱(zh矛)锛岀壒鍒ヨ鑳藉鐔熺反閬�(y霉n)鐢ㄥ叐闈㈠ぞ鍘熺悊鍜屽叐鍊嬬壒
娈婃サ闄�銆�
c锛庣啛绶存帉鎻″鏁�(sh霉)绯荤殑鍩烘湰瀹氱悊锛氬崁(q奴)闁撳瀹氱悊锛岀⒑鐣屽瓨鍦ㄥ畾鐞�锛屽柈瑾�(di脿o)鏈夌晫鍘熺悊锛�
Bolzano-Weierstrass 瀹氱悊锛孒eine-Borel 鏈夐檺瑕嗚搵瀹氱悊锛孋auchy 鏀舵杺婧�(zh菙n)鍓�锛涘苟
鐞嗚В鐩镐簰闂�(gu膩n)绯�銆�
d锛庣啛绶存帉鎻″嚱鏁�(sh霉)閫ｇ簩(x霉)鎬х殑姒傚康鍙婄浉闂�(gu膩n)鐨勪笉閫ｇ簩(x霉)榛為鍨�銆傝兘澶犻亱(y霉n)鐢ㄥ嚱鏁�(sh霉)閫ｇ簩(x霉)鐨勫洓
鍓囬亱(y霉n)绠楄垏寰�(f霉)鍚堥亱(y霉n)绠楁€ц唱(zh矛)浠ュ強鐩稿皪鎳�(y墨ng)鐨勭劇绐皬閲忕殑鎬ц唱(zh矛)锛涘苟鐞嗚В鍏╄€呯殑鐩镐簰闂�(gu膩n)绯汇€�
e锛庣啛绶存帉鎻￠枆鍗€(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛氭湁鐣屾€у畾鐞�銆佹渶鍊煎畾鐞�銆佷粙鍊煎畾鐞嗗拰
Contor 瀹氱悊銆�
2) 涓€鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)
a锛庣悊瑙ｅ皫(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑姒傚康鍙婂叾鐩镐簰闂�(gu膩n)绯�锛岀悊瑙ｅ皫(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇╁拰鐗╃悊鎰忕京锛岀悊
瑙ｅ嚱鏁�(sh霉)鍙皫(d菐o)鎬ц垏閫ｇ簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯汇€�
b锛庣啛绶存帉鎻″嚱鏁�(sh霉)灏�(d菐o)鏁�(sh霉)鑸囧井鍒嗙殑閬�(y霉n)绠楁硶鍓�锛屽寘鎷珮浠嬪皫(d菐o)鏁�(sh霉)鐨勯亱(y霉n)绠楁硶鍓�锛屾渻姹傚垎娈�
鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)銆�
c锛庣啛绶存帉鎻� Rolle 涓€煎畾鐞�锛孡agrange 涓€煎畾鐞嗗拰骞冲叡铏� Cauchy 涓€煎畾鐞嗕互
鍙� Taylor 鍏紡銆�
d锛庤兘澶犵敤灏�(d菐o)鏁�(sh霉)鐮旂┒鍑芥暩(sh霉)鐨勫柈瑾�(di脿o)鎬�銆佹サ鍊硷紝鏈€鍊煎拰鍑稿嚬鎬�銆�
e锛庢帉鎻＄敤 L鈥橦ospital 娉曞墖姹備笉瀹氬紡妤甸檺鐨勬柟娉�銆�
3) 涓€鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
a锛庣悊瑙ｄ笉瀹氱⿳鍒嗙殑姒傚康銆傛帉鎻′笉瀹氱⿳鍒嗙殑鍩烘湰鍏紡锛屾彌鍏冪⿳鍒嗘硶鍜屽垎閮ㄧ⿳鍒嗘硶锛�
鏈冩眰鏈夌悊鍑芥暩(sh霉)銆佷笁瑙掓湁鐞嗗嚱鏁�(sh霉)鍜岀啊鍠厓鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒嗐€�
b锛庢帉鎻″畾绌嶅垎鐨勬蹇�锛屽寘鎷� Darboux 鍜岋紝涓�銆佷笅绌嶅垎鍙婂彲绌嶆浠惰垏鍙⿳鍑芥暩(sh霉)椤炪€�
c锛庢帉鎻″畾绌嶅垎鐨勬€ц唱(zh矛)锛岀啛绶存帉鎻″井绌嶅垎鍩烘湰瀹氱悊锛屽畾绌嶅垎鐨勬彌鍏冪⿳鍒嗘硶鍜屽垎閮�
绌嶅垎娉�銆�
d锛庢帉鎻＄敤瀹氱⿳鍒嗚〃閬�(d谩)鍜岃▓绠椾竴浜涘咕浣曢噺鑸囩墿鐞嗛噺锛堝钩闈㈠湒褰㈢殑闈㈢⿳锛屽钩闈㈣并绶�
鐨勫姬闀�锛屾棆杞�(zhu菐n)楂旂殑楂旂⿳鑸囧伌(c猫)闈㈢⿳锛屽钩琛屾埅闈㈤潰绌嶅凡鐭ョ殑绔嬮珨楂旂⿳锛岃畩鍔涘仛鍔熷拰鐗�
楂旂殑璩�(zh矛)閲忚垏璩�(zh矛)蹇冿級銆�
e锛庣悊瑙ｅ唬缇╃⿳鍒嗙殑姒傚康銆傜啛绶存帉鎻″垽鏂峰唬缇╃⿳鍒嗘敹鏂傜殑姣旇純鍒ゅ垾娉�锛孉bel 鍒ゅ垾
娉曞拰 Dirichlet 鍒ゅ垾娉�锛涘叾涓寘鎷⿳鍒嗙浜屼腑鍊煎畾鐞�銆�
4) 鐒＄绱氭暩(sh霉)
a锛庣悊瑙ｆ暩(sh霉)闋呯礆鏁�(sh霉)鏂傛暎鎬х殑姒傚康锛屾帉鎻℃暩(sh霉)闋呯礆鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)銆�
b锛庣啛绶存帉鎻℃闋呯礆鏁�(sh霉)鏂傛暎鐨勫繀瑕佹浠�锛屾瘮杓冨垽鍒ユ硶锛孋auchy 鍒ゅ垾娉�锛孌鈥橝lembert
鍒ゅ垾娉曡垏绌嶅垎鍒ゅ垾娉�銆�
c锛庣啛绶存帉鎻′换鎰忛爡绱氭暩(sh霉)绲曞皪鏀舵杺鑸囨浠舵敹鏂傜殑姒傚康鍙婂叾鐩镐簰闂�(gu膩n)绯�銆傜啛绶存帉鎻′氦
閷礆鏁�(sh霉)鐨� Leibnitz 鍒ゅ垾娉�銆傛帉鎻＄禃灏嶆敹鏂傜礆鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
d锛庣啛绶存帉鎻″嚱鏁�(sh霉)闋呯礆鏁�(sh霉)涓€鑷存敹鏂傛€х殑姒傚康浠ュ強鍒ゆ柗涓€鑷存敹鏂傛€х殑 Weierstrass
鍒ゅ垾娉曘€侫bel 鍒ゅ垾娉曞拰 Dirichlet 鍒ゅ垾娉�銆傜啛绶存帉鎻′竴鑷存敹鏂傜礆鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
e锛庢帉鎻″啰绱氭暩(sh霉)鍙婂叾鏀舵杺鍗婂緫鐨勬蹇碉紝鍖呮嫭 Cauchy-Hadamard 瀹氱悊鍜� Abel 绗竴瀹�
鐞�銆�
f锛庣啛绶存帉鎻″啰绱氭暩(sh霉)鐨勬€ц唱(zh矛)銆傝兘澶�?q奴)鈷戠槷?sh霉)灞曢枊鐐哄啰绱氭暩(sh霉)銆備簡瑙� Weierstrass 閫艰繎
瀹氱悊銆�
g锛庝簡瑙� Fourier 绱氭暩(sh霉)鐨勬蹇佃垏鎬ц唱(zh矛)浠ュ強鏂傛暎鎬х殑鍒ゅ垾娉�銆�
5) 澶氬厓鍑芥暩(sh霉)寰垎瀛�(xu茅)鑸囩⿳鍒嗗(xu茅)
a锛庣悊瑙ｅ鍏冨嚱鏁�(sh霉)妤甸檺鑸囬€ｇ簩(x霉)鎬э紝鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇�锛屾渻姹傚鍏冨嚱鏁�(sh霉)鐨勫亸灏�(d菐o)
鏁�(sh霉)鑸囧叏寰垎銆�
b锛庢帉鎻￠毐鍑芥暩(sh霉)瀛樺湪瀹氱悊銆�
c锛庢渻姹傚鍏冨嚱鏁�(sh霉)妤靛€煎拰鐒℃浠舵サ鍊�锛屼簡瑙ｅ亸灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟噳(y墨ng)鐢�銆�
d锛庢帉鎻￠噸绌嶅垎銆佹洸绶氱⿳鍒嗗拰鏇查潰绌嶅垎鐨勬蹇佃垏瑷堢畻銆�
e锛庣啛绶存帉鎻� Gauss 鍏紡銆丟reen 鍏紡鍜� Stoks 鍏紡鍙婂叾鎳�(y墨ng)鐢�銆�
6) 鍚弮璁婇噺绌嶅垎
a锛庝簡瑙ｅ惈鍙冭畩閲忓父缇╃⿳鍒嗙殑姒傚康鑸囨€ц唱(zh矛)銆�
b锛庢帉鎻″惈鍙冭畩閲忓唬缇╃⿳鍒嗙殑涓€鑷存敹鏂傛€х殑姒傚康鍙婂叾鍒ゅ垾娉�銆傛帉鎻′竴鑷存敹鏂傜殑鍚�
鍙冭畩閲忓唬缇╃⿳鍒嗙殑鎬ц唱(zh矛)銆�
涓夈€佽│鍗风祼(ji茅)妲�(g貌u)锛�
1) 鑰冭│鏅傞枔锛�180 鍒嗛悩锛屾豢鍒嗭細150 鍒�
2) 椤屽瀷绲�(ji茅)妲�(g貌u)
a: 璜栬瓑鑸囪垑鍙嶄緥(105-135 鍒�)
b: 鍩烘湰瑷堢畻(15-45 鍒�)
鍥涖€佸弮鑰冩浉鐩細
1锛庛€婃暩(sh霉)瀛�(xu茅)鍒嗘瀽銆嬶紙涓�銆佷笅鍐婏級锛屽京(f霉)鏃﹀ぇ瀛�(xu茅)鏁�(sh霉)瀛�(xu茅)绯荤法锛岄珮绛夋暀鑲插嚭鐗堢ぞ锛�2007 骞达紝
绗簩鐗�
2锛庛€婃暩(sh霉)瀛�(xu茅)鍒嗘瀽缈�(x铆)椤岄泦銆�锛屽寳浜ぇ瀛�(xu茅)鏁�(sh霉)瀛�(xu茅)绯荤法锛岄珮绛夋暀鑲插嚭鐗堢ぞ銆�
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘�锛岃珛鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄わ紝鍙︼細鏈枃鍍呬唬琛ㄤ綔鑰呭€嬩汉瑙€榛�锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊锛屽皪鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹�銆佹枃瀛楃殑鐪熷鎬�銆佸畬鏁存€�銆佸強鏅傛€ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰�锛屽苟璜嬭嚜琛屾牳瀵︾浉闂�(gu膩n)鍏�(n猫i)瀹�銆�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
