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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�锛岄儴鍒嗗鏍℃洿鏂拌嚦2012骞达紝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
涓湅鍌冲獟澶у纰╁＋鐮旂┒鐢熷叆瀛歌€冭│
銆婃暩(sh霉)瀛稿垎鏋愩€嬭€冭│澶х侗
涓€銆佽€冭│鐨勫熀鏈姹�
銆婃暩(sh霉)瀛稿垎鏋愩€嬫槸鐐烘嫑鏀舵噳鐢ㄦ暩(sh霉)瀛稿皥妤�(y猫)纰╁＋鐢熻€岃ō缃殑鍏锋湁閬告嫈鍔熻兘鐨勬按骞宠€冭│銆�
瀹冪殑涓昏鐩殑鏄脯瑭﹁€冪敓灏嶆暩(sh霉)瀛稿垎鏋愬悇闋呭収(n猫i)瀹圭殑鎺屾彙绋嬪害銆傝姹傝€冪敓鐔熸倝鏁�(sh霉)瀛稿垎鏋愮殑
鍩烘湰姒傚康鍜屽熀鏈悊璜�锛屾帉鎻℃暩(sh霉)瀛稿垎鏋愮殑鍩烘湰鎬濇兂鍜屾柟娉�, 鍏锋湁涓€瀹氱殑鎶借薄鎬濈董鑳藉姏銆�
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浜�銆佽€冭│鍏�(n猫i)瀹瑰拰鑰冭│瑕佹眰
1锛庢サ闄愬拰鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬�
鏁�(sh霉)鍒楃殑妤甸檺銆佸嚱鏁�(sh霉)鐨勬サ闄�锛� 鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬у拰涓€鑷撮€ｇ簩(x霉)鎬э紱閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勫悇绋€ц唱(zh矛)銆�
(1)鐔熺反鎺屾彙鏁�(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺鐨勬蹇碉紱鐞嗚В鐒＄灏忛噺鐨勬蹇靛強鍩烘湰鎬ц唱(zh矛)銆�
(2)鎺屾彙妤甸檺鐨勬€ц唱(zh矛)鍙婂洓鍓囬亱绠楁€ц唱(zh矛)锛岃兘澶犵啛绶撮亱鐢ㄥ叐闈㈠ぞ鍘熺悊鍜屽叐鍊嬬壒娈婃サ闄�銆�
(3)鐔熺反鎺屾彙鍑芥暩(sh霉)閫ｇ簩(x霉)鎬х殑姒傚康鍙婄浉闂滅殑涓嶉€ｇ簩(x霉)榛為鍨�銆�
(4)鐔熺反鎺屾彙闁夊崁(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�銆佷粙鍊煎畾鐞嗐€�
2锛庝竴鍏冨嚱鏁�(sh霉)寰垎瀛�
寰垎鐨勬蹇�銆佸皫鏁�(sh霉)鐨勬蹇�銆佸井鍒嗗拰灏庢暩(sh霉)鐨勬剰缇�锛涙眰灏庨亱绠�锛涘井鍒嗛亱绠�锛涘井鍒嗕腑鍊�
瀹氱悊锛涙礇蹇呴仈娉曞墖銆佹嘲鍕掑睍寮�锛涘皫鏁�(sh霉)鐨勬噳鐢�銆�
(1)鐞嗚В灏庢暩(sh霉)鍜屽井鍒嗙殑姒傚康鍙婂叾鐩镐簰闂滅郴锛岀悊瑙ｅ皫鏁�(sh霉)鐨勫咕浣曟剰缇�锛岀悊瑙ｅ嚱鏁�(sh霉)鍙皫鎬�
鑸囬€ｇ簩(x霉)鎬т箣闁撶殑闂滅郴銆�
(2)鐔熺反鎺屾彙鍑芥暩(sh霉)灏庢暩(sh霉)鑸囧井鍒嗙殑閬嬬畻娉曞墖锛屽寘鎷珮闅庡皫鏁�(sh霉)鐨勯亱绠楁硶鍓�銆佸京鍚堝嚱鏁�(sh霉)姹�
灏庢硶鍓�锛屾渻姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫鏁�(sh霉)銆�
(3)鐔熺反鎺屾彙 Rolle 涓€煎畾鐞�锛孡agrange 涓€煎畾鐞嗕互鍙� Taylor 灞曞紡銆�
(4)鑳藉鐢ㄥ皫鏁�(sh霉)鐮旂┒鍑芥暩(sh霉)鐨勫柈瑾�(di脿o)鎬с€佹サ鍊�锛屾渶鍊煎拰鍑稿嚬鎬�銆�
(5)鎺屾彙鐢ㄦ礇蹇呴仈娉曞墖姹備笉瀹氬紡妤甸檺鐨勬柟娉曘€�
3锛庝竴鍏冨嚱鏁�(sh霉)绌嶅垎瀛�
瀹氱⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)鍜屽井绌嶅垎鍩烘湰瀹氱悊锛涗笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑瑷堢畻锛涘畾绌嶅垎鐨勬噳
鐢�锛涘唬缇╃⿳鍒嗙殑姒傚康鍜屽唬缇╃⿳鍒嗘敹鏂傜殑鍒ゅ垾娉�銆�
(1)鐞嗚В涓嶅畾绌嶅垎鐨勬蹇�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�
鏈冩眰鍒濈瓑鍑芥暩(sh霉)銆佹湁鐞嗗嚱鏁�(sh霉)鍜屼笁瑙掓湁鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒嗐€�
(2)鎺屾彙瀹氱⿳鍒嗙殑姒傚康锛屽寘鎷彲绌嶆浠惰垏鍙⿳鍑芥暩(sh霉)椤炪€�
(3)鎺屾彙瀹氱⿳鍒嗙殑鎬ц唱(zh矛)锛岀啛绶存帉鎻″井绌嶅垎鍩烘湰瀹氱悊銆佸畾绌嶅垎鐨勬彌鍏冪⿳鍒嗘硶鍜屽垎閮ㄧ⿳
鍒嗘硶浠ュ強绌嶅垎涓€煎畾鐞嗐€�
(4)鑳界敤瀹氱⿳鍒嗚▓绠楀钩闈㈠湒褰㈢殑闈㈢⿳銆佹棆杞�(zhu菐n)楂旂殑楂旂⿳鑸囧伌闈㈢⿳銆�
(5)鐞嗚В寤ｇ京绌嶅垎鐨勬蹇�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�
鍜� Dirichlet 鍒ゅ垾娉�銆�
4锛庣劇绐礆鏁�(sh霉)
鏁�(sh霉)闋呯礆鏁�(sh霉)鐨勬蹇�銆佹暩(sh霉)闋呯礆鏁�(sh霉)鏂傛暎鐨勫垽鍒ユ硶锛涚礆鏁�(sh霉)鐨勭禃灏嶆敹鏂傚拰姊濅欢鏀舵杺锛涘嚱鏁�(sh霉)闋�
绱氭暩(sh霉)鐨勬敹鏂傚拰涓€鑷存敹鏂傚強鍏舵€ц唱(zh矛)銆佹敹鏂傛€х殑鍒ゅ垾锛涘啰绱氭暩(sh霉)鍙婂叾鎬ц唱(zh矛)銆佹嘲鍕掔礆鏁�(sh霉)鍜屾嘲鍕�
灞曢枊銆�
(1)鐞嗚В鏁�(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�
(2)鐔熺反鎺屾彙姝ｉ爡绱氭暩(sh霉)鏂傛暎鐨勫繀瑕佹浠讹紝姣旇純鍒ゅ垾娉�锛孋auchy 鍒ゅ垾娉曪紝D鈥橝lembert
鍒ゅ垾娉曡垏绌嶅垎鍒ゅ垾娉�銆�
(3)鐔熺反鎺屾彙浠绘剰闋呯礆鏁�(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滅郴銆傜啛绶存帉鎻′氦閷�
绱氭暩(sh霉)鐨� Leibnitz 鍒ゅ垾娉曘€傛帉鎻＄禃灏嶆敹鏂傜礆鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
(4)鐔熺反鎺屾彙鍑芥暩(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�
鍒ユ硶銆丄bel 鍒ゅ垾娉曞拰 Dirichlet 鍒ゅ垾娉�銆�
(5)鎺屾彙鍐礆鏁�(sh霉)鍙婂叾鏀舵杺鍗婂緫鐨勬蹇�锛屽啰绱氭暩(sh霉)鐨勬€ц唱(zh矛), 鑳藉?q奴)鈷戠槷?sh霉)灞曢枊鐐哄啰绱氭暩(sh霉)銆�
(6)浜嗚В Fourier 绱氭暩(sh霉)鐨勬蹇佃垏鎬ц唱(zh矛)銆�
5锛庡鍏冨嚱鏁�(sh霉)寰垎瀛歌垏绌嶅垎瀛�
澶氬厓鍑芥暩(sh霉)鐨勬サ闄愯垏閫ｇ簩(x霉)銆佸叏寰垎鍜屽亸灏庢暩(sh霉)鐨勬蹇�銆侀噸绌嶅垎鐨勬蹇靛強鍏舵€ц唱(zh矛)銆侀噸绌�
鍒嗙殑瑷堢畻锛涙洸绶氱⿳鍒嗗拰鏇查潰绌嶅垎锛涘弽甯哥⿳鍒嗙殑瀹氱京鍜屽垽鍒�銆�
(1)鐞嗚В澶氬厓鍑芥暩(sh霉)妤甸檺鑸囬€ｇ簩(x霉)鎬�锛屽亸灏庢暩(sh霉)鍜屽叏寰垎鐨勬蹇�锛屾渻姹傚鍏冨嚱鏁�(sh霉)鐨勫亸灏庢暩(sh霉)
鑸囧叏寰垎銆�
(2)鐔熺反鎺屾彙閲嶇⿳鍒�銆佹洸绶氱⿳鍒嗗拰鏇查潰绌嶅垎鐨勬蹇佃垏瑷堢畻銆�
(3)鐔熺反鎺屾彙 Gauss 鍏紡銆丟reen 鍏紡鍜� Stoks 鍏紡鍙婂叾鎳夌敤銆�
6锛庡惈鍙冭畩閲忕⿳鍒�
鍚弮璁婇噺绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)銆�
(1)浜嗚В鍚弮璁婇噺甯哥京绌嶅垎鐨勬蹇佃垏鎬ц唱(zh矛)銆�
(2)鐔熺反鎺屾彙璁婁笂闄愮⿳鍒�銆�
涓�銆佽€冭│鐨勫熀鏈鍨�
涓昏椤屽瀷鍙兘鏈夛細姒傚康椤屻€侀伕鎿囬銆佸～绌洪銆佺啊绛旈銆佽▓绠楅銆佽瓑鏄庨绛�銆傝│鍗�
婊垮垎鐐� 150 鍒�銆�
鍥�銆佽€冭│鐨勫舰寮忓強鏅傞枔
鑰冭│閲囩敤闁夊嵎绛嗚│褰㈠紡?锛熻崥鍤俽闁撶偤 180 鍒嗛悩.
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鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
