|
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�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
涓湅鍦拌唱(zh矛)澶у鐮旂┒鐢熼櫌
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│鎬ц唱(zh矛)
鏁�(sh霉)瀛稿垎鏋愭槸鏁�(sh霉)瀛稿皥妤�(y猫)鏈鐢熺殑鍩虹(ch菙)瑾茬▼涔嬩竴锛屾槸鏁�(sh霉)瀛稿皥妤�(y猫)鐮旂┒鐢熷叆瀛歌€冭│鐨勫繀鑰冭绋�銆傛湰鑰冭│澶х侗閬�
鐢ㄤ簬涓湅鍦拌唱(zh矛)澶у鐮旂┒鐢熼櫌鏁�(sh霉)瀛哥郴纰╁＋鐮旂┒鐢熷叆瀛搞€婃暩(sh霉)瀛稿垎鏋愩€嬭€冭│銆傚畠鐨勪富瑕佺洰鐨勬槸娓│鑰冪敓灏嶆暩(sh霉)瀛稿垎
鏋愬悇闋呭収(n猫i)瀹圭殑鎺屾彙绋嬪害鍜屾噳(y墨ng)鐢ㄧ浉闂�(gu膩n)鐭ヨ瓨瑙ｆ焙鍟忛鐨勮兘鍔�銆�
浜�銆佽€冭│鐨勫熀鏈姹�
瑕佹眰鑰冪敓姣旇純绯荤当(t菕ng)鍦扮悊瑙ｆ暩(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曘€傝姹傝€�
鐢熷叿鏈夋娊璞℃€濈董鑳藉姏銆侀倧杓帹鐞嗚兘鍔涖€侀亱绠楄兘鍔涘拰缍滃悎閬嬬敤鎵€瀛哥殑鐭ヨ瓨鍒嗘瀽鍟忛鍜岃В姹哄晱椤岀殑鑳藉姏銆�
涓�銆佽€冭│鏂规硶鍜岃€冭│鏅傞枔
鏁�(sh霉)瀛稿垎鏋愯€冭│閲囩敤闁夊嵎绛嗚│褰㈠紡锛岃│鍗锋豢鍒嗙偤 150 鍒�锛岃€冭│鏅傞枔鐐� 180 鍒嗛悩銆�
鍥�銆佽€冭│鍏�(n猫i)瀹瑰拰鑰冭│瑕佹眰
1銆佹サ闄愬拰鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬�
鑰冭│涓昏鍏�(n猫i)瀹�
鏄犲皠鑸囧嚱鏁�(sh霉)锛涙暩(sh霉)鍒楃殑妤甸檺銆佸嚱鏁�(sh霉)鐨勬サ闄�锛涢€ｇ簩(x霉)鍑芥暩(sh霉)銆佸嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬у拰涓€鑷撮€ｇ簩(x霉)鎬�锛涗腑鐨勯粸闆�銆佸鏁�(sh霉)绯�
鐨勯€ｇ簩(x霉)鎬э紱鍑芥暩(sh霉)鍜岄€ｇ簩(x霉)鍑芥暩(sh霉)鐨勫悇绋€ц唱(zh矛)銆�
鑰冭│瑕佹眰
锛�1锛夌啛绶存帉鎻℃暩(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺鐨勬蹇�锛涚悊瑙ｇ劇绐皬閲忕殑姒傚康鍙婂熀鏈€ц唱(zh矛)銆�
锛�2锛夋帉鎻℃サ闄愮殑鎬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�
锛�3锛夌啛绶存帉鎻″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)鏈夌晫鍘熺悊锛孊olzano-Weierstrass
瀹氱悊锛孒eine-Borel 鏈夐檺瑕嗚搵瀹氱悊锛孋auchy 鏀舵杺婧栧墖锛涘苟鐞嗚В鐩镐簰闂�(gu膩n)绯�銆�
锛�4锛夌啛绶存帉鎻″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�銆傝兘澶犻亱鐢ㄥ嚱鏁�(sh霉)閫ｇ簩(x霉)鐨勫洓鍓囬亱绠楄垏寰�(f霉)鍚堥亱绠楁€�
璩�(zh矛)浠ュ強鐩稿皪鎳�(y墨ng)鐨�锛涘苟鐞嗚В鍏╄€呯殑鐩镐簰闂�(gu膩n)绯汇€�
锛�5锛夌啛绶存帉鎻￠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�銆佷粙鍊煎畾鐞嗭紱浜嗚В Contor 瀹氱悊銆�
2銆佷竴鍏冨嚱鏁�(sh霉)寰垎瀛�
鑰冭│涓昏鍏�(n猫i)瀹�
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�锛涘井鍒嗕腑鍊煎畾鐞�锛涙礇蹇呴仈娉曞墖銆佹嘲鍕�
灞曞紡鍏紡锛涘皫鏁�(sh霉)鐨勬噳(y墨ng)鐢�銆�
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｅ皫鏁�(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)鍙皫鎬ц垏閫ｇ簩(x霉)鎬т箣
闁撶殑闂�(gu膩n)绯�銆�
锛�2锛夌啛绶存帉鎻″嚱鏁�(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)鐨勯亱绠楁硶鍓囥€佸京(f霉)鍚堝嚱鏁�(sh霉)姹傚皫娉曞墖锛屾渻姹傚垎娈靛嚱鏁�(sh霉)
鐨勫皫鏁�(sh霉)銆�
锛�3锛夌啛绶存帉鎻� Rolle 涓€煎畾鐞�锛孡agrange 涓€煎畾鐞嗗拰 Cauchy 涓€煎畾鐞嗕互鍙� Taylor 灞曞紡銆�
锛�4锛夎兘澶犵敤灏庢暩(sh霉)鐮旂┒鍑芥暩(sh霉)鐨勫柈瑾�(di脿o)鎬�銆佹サ鍊�锛屾渶鍊煎拰鍑稿嚬鎬�銆�
锛�5锛夋帉鎻＄敤娲涘繀閬旀硶鍓囨眰涓嶅畾寮忔サ闄愮殑鏂规硶銆�
3銆佷竴鍏冨嚱鏁�(sh霉)绌嶅垎瀛�
鑰冭│涓昏鍏�(n猫i)瀹�
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(y墨ng)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曘€�
鑰冭│瑕佹眰
锛�1锛夌悊瑙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⿳鍒嗘硶锛屾渻姹傚垵绛夊嚱鏁�(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€�
锛�2锛夋帉鎻″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�銆�
锛�3锛夋帉鎻″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ㄧ⿳鍒嗘硶浠ュ強绌嶅垎涓€煎畾鐞�銆�
锛�4锛夎兘鐢ㄥ畾绌嶅垎琛ㄩ仈鍜岃▓绠楀涓嬪咕浣曢噺鑸囩墿鐞嗛噺锛�
骞抽潰鍦栧舰鐨勯潰绌�锛屽钩闈㈡洸绶氱殑寮ч暦锛屾棆杞�(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╅珨鐨勮唱(zh矛)閲忚垏璩�(zh矛)蹇冦€�
锛�5锛夌悊瑙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曪紝Abel 鍒ゅ垾娉曞拰 Dirichlet 鍒ゅ垾娉曪紱
鍏朵腑鍖呮嫭绌嶅垎绗簩涓€煎畾鐞�銆�
4銆佺劇绐礆鏁�(sh霉)
鑰冭│涓昏鍏�(n猫i)瀹�
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)闋呯礆鏁�(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)鍜屾嘲鍕掑睍闁嬨€�
鑰冭│瑕佹眰
锛�1锛夌悊瑙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�
锛�2锛夌啛绶存帉鎻℃闋呯礆鏁�(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鈥楢lembert 鍒ゅ垾娉曡垏绌嶅垎鍒ゅ垾娉�銆�
锛�3锛夌啛绶存帉鎻′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
娉曘€傛帉鎻＄禃灏嶆敹鏂傜礆鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
锛�4锛夌啛绶存帉鎻″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�銆侫bel 鍒ゅ垾娉�銆丆
auchy 鍒ゅ垾娉曞拰 Dirichlet 鍒ゅ垾娉�銆�
锛�5锛夋帉鎻″啰绱氭暩(sh霉)鍙婂叾鏀舵杺鍗婂緫鐨勬蹇�锛屽寘鎷� Cauchy-Hadamard 瀹氱悊鍜� Abel 绗竴瀹氱悊銆�
锛�6锛夌啛绶存帉鎻″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)銆傜悊瑙ｄ綑闋呭叕绀恒€�
锛�7锛変簡瑙� Fourier 绱氭暩(sh霉)鐨勬蹇佃垏鎬ц唱(zh矛)銆�
5銆佸鍏冨嚱鏁�(sh霉)寰垎瀛歌垏绌嶅垎瀛�
鑰冭│涓昏鍏�(n猫i)瀹�
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)銆侀噸绌嶅垎鐨勮▓绠楋紱鏇茬窔绌嶅垎鍜屾洸
闈㈢⿳鍒�锛涘弽甯哥⿳鍒嗙殑瀹氱京鍜屽垽鍒�銆�
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｅ鍏冨嚱鏁�(sh霉)妤甸檺鑸囬€ｇ簩(x霉)鎬э紝鍋忓皫鏁�(sh霉)鍜屽叏寰垎鐨勬蹇�锛屾渻姹傚鍏冨嚱鏁�(sh霉)鐨勫亸灏庢暩(sh霉)鑸囧叏寰垎銆�
锛�2锛夋帉鎻￠毐鍑芥暩(sh霉)瀛樺湪瀹氱悊銆�
锛�3锛夋渻姹傚鍏冨嚱鏁�(sh霉)妤靛€煎拰鐒℃浠舵サ鍊�锛屼簡瑙ｅ亸灏庢暩(sh霉)鐨勫咕浣曟噳(y墨ng)鐢�銆�
锛�4锛夋帉鎻￠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�
锛�5锛夌啛绶存帉鎻� Gauss 鍏紡銆丟reen 鍏紡鍜� Stoks 鍏紡鍙婂叾鎳�(y墨ng)鐢�銆�
6銆佸惈鍙冭畩閲忕⿳鍒�
鑰冭│涓昏鍏�(n猫i)瀹�
鍚弮璁婇噺绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)銆�
鑰冭│瑕佹眰
锛�1锛変簡瑙ｅ惈鍙冭畩閲忓父缇╃⿳鍒嗙殑姒傚康鑸囨€ц唱(zh矛)銆�
锛�2锛夌啛绶存帉鎻¤畩涓婇檺绌嶅垎銆�
鍏嶈铂鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘紝璜嬭伅(li谩n)绯绘垜鍊戠珛鍗冲埅闄�锛屽彟锛氭湰鏂囧儏浠ｈ〃浣滆€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)瀹广€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�
|
鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
