|
鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�(gu贸)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�(k霉)鈥� 涓嬭級
婀樻江澶у(xu茅) href="http://m.sunshinestudy.com/shijuan/school/802519_1575460_2633511.html" target=_blank>婀樻江澶у(xu茅) 2017 骞寸ⅸ澹爺绌剁敓鍏ュ(xu茅)鑰冭│鑷懡椤岀鐩�婀樻江澶у(xu茅)鑰冪爺澶х侗
绉戠洰
浠ｇ⒓
绉戠洰鍚嶇ū 婀樻江澶у(xu茅)鑰冪爺澶х侗
鏁�(sh霉)瀛�(xu茅)鍒嗘瀽 閬╃敤浜庢暩(sh霉)瀛�(xu茅)涓€绱�(j铆)瀛�(xu茅)绉戠ⅸ澹爺绌剁敓鎷涚敓鍏ュ(xu茅)鑰冭│銆傞噸榛�(di菐n)鑰冩牳瀛�(xu茅)鐢熷皪(du矛)鏁�(sh霉)瀛�(xu茅)鍒�
鏋愮殑鍩烘湰姒傚康銆佸熀鏈悊璜栥€佸熀鏈柟娉曞拰鍩烘湰鎶€宸х殑鎺屾彙鑸囬亱(y霉n)鐢ㄨ兘鍔�?锛�?br/>鏌ョ殑鐭ヨ瓨(sh铆)瑕侀粸(di菐n)濡備笅锛�
1锛庨泦鍚堣垏鏄犲皠锛氶泦鍚堣垏鏄犲皠鐨勬蹇靛強閬�(y霉n)绠楋紝涓€鍏冨嚱鏁�(sh霉)鐨勬蹇�锛屽垵
绛夊嚱鏁�(sh霉)锛屽京(f霉)鍚堝嚱鏁�(sh霉)锛屽嚱鏁�(sh霉)鐨勫垎娈佃〃绀猴紝闅卞紡琛ㄧず锛屽弮鏁�(sh霉)琛ㄧず锛屽嚱鏁�(sh霉)鐨勫
鍋舵€�銆佸柈瑾�(di脿o)鎬�銆佸懆鏈熸€у拰鏈夌晫鎬э紝涓夎涓嶇瓑寮忚垏鍧囧€间笉绛夊紡銆�
2锛�?d膩ng)?sh霉)鍒楃殑妤甸檺锛氬(sh铆)鏁�(sh霉)绯�锛屾渶澶ф暩(sh霉)鑸囨渶灏忔暩(sh霉)锛屼笂纰虹晫鑸囦笅纰虹晫鐨勬
蹇碉紝瀵�(sh铆)鏁�(sh霉)绯荤殑閫ｇ簩(x霉)鎬�锛屾暩(sh霉)鍒楁サ闄愮殑 瀹氱京, 鏁�(sh霉)鍒楁サ闄愮殑鎬ц唱(zh矛)锛屾暩(sh霉)鍒�
妤甸檺鐨勫洓鍓囬亱(y霉n)绠楁硶鍓�锛岀劇(w煤)绐皬閲忚垏鐒�(w煤)绐ぇ閲忕殑姒傚康锛孲tolz 瀹氱悊, 鍠(di脿o)鏈�
鐣屾暩(sh霉)鍒楀繀鏈夋サ闄�锛岄枆鍗€(q奴)闁撳瀹氱悊锛孊olzano-Weierstrass 瀹氱悊锛孋auchy 鏀�
鏂傚師鐞�銆�
3锛庡嚱鏁�(sh霉)妤甸檺鑸囬€ｇ簩(x霉)鍑芥暩(sh霉)锛氬嚱鏁�(sh霉)妤甸檺鐨勬蹇点€佹€ц唱(zh矛)鍜屽洓鍓囬亱(y霉n)绠楁硶鍓�锛�
鍑芥暩(sh霉)妤甸檺鑸囨暩(sh霉)鍒楁サ闄愮殑闂�(gu膩n)绯�锛屽柈鍋�(c猫)妤甸檺锛屽嚱鏁�(sh霉)妤甸檺瀹氱京鐨勬摯(ku貌)鍏�锛岄€ｇ簩(x霉)鐨�
姒傚康锛岄€ｇ簩(x霉)鍑芥暩(sh霉)鐨勫洓鍓囬亱(y霉n)绠楁硶鍓�锛屼笉閫ｇ簩(x霉)榛�(di菐n)鐨勯鍨嬶紝鍙嶅嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬�锛�
寰�(f霉)鍚堝嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬�锛屽垵绛夊嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬�锛岄枆鍗€(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛堟湁
鐣屾€у畾鐞嗭紝鏈€鍊煎畾鐞�锛屼粙鍊煎畾鐞嗭紝闆堕粸(di菐n)瀛樺湪瀹氱悊锛屼竴鑷撮€ｇ簩(x霉)姒傚康锛孋antor
瀹氱悊.锛�銆�
4锛庡皫(d菐o)鏁�(sh霉)锛氬皫(d菐o)鏁�(sh霉)鐨勬蹇�锛屽咕浣曟剰缇╋紝鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勬眰灏�(d菐o)鍏紡锛屾眰
灏�(d菐o)鐨勫洓鍓囬亱(y霉n)绠楁硶鍓�锛屽弽鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屽京(f霉)鍚堝嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛岀敤鍙冩暩(sh霉)鏂圭▼琛ㄧず
鐨勫嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉�锛屽彲灏�(d菐o)鑸囬€ｇ簩(x霉)鐨勯棞(gu膩n)绯�锛屽井鍒嗙殑姒傚康鍙婂洓鍓囬亱(y霉n)绠楁硶鍓�锛屽京(f霉)
鍚堝嚱鏁�(sh霉)鐨勫井鍒�锛屼竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬э紝楂橀殠灏�(d菐o)鏁�(sh霉)銆侀珮闅庡井鍒嗙殑姒傚康锛�
楂橀殠灏�(d菐o)鏁�(sh霉)鐨勯亱(y霉n)绠楁硶鍓�锛屼竴浜涚啊(ji菐n)鍠嚱鏁�(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)銆侀珮闅庡井鍒嗐€�
5锛庡井鍒嗕腑鍊煎畾鐞嗗強鎳�(y墨ng)鐢細缇呯埦瀹氱悊銆丩agrange 涓€煎畾鐞�锛孋auchy
涓€煎畾鐞嗭紝L鈥橦ospital 娉曞墖锛孴aylor 鍏紡锛屼竴鍏冨嚱鏁�(sh霉)鍠(di脿o)鎬х殑姒傚康鍙婂垽
鍒ワ紝妤靛€肩殑姒傚康鍙婃眰娉�锛屽嚱鏁�(sh霉)鐨勬渶鍊肩殑姹傛硶锛屽嚱鏁�(sh霉)鍦栧舰鐨勫嚬鍑告€у拰鎷愰粸(di菐n)锛�
婕歌繎绶氱殑姒傚康鍙婃眰娉�锛屽嚱鏁�(sh霉)鍦栧舰鐨勬弿绻�銆�
6锛庝笉瀹氱⿳鍒嗭細涓嶅畾绌嶅垎鐨勬蹇�锛屼笉瀹氱⿳鍒嗙殑鍩烘湰鍏紡鍙婇亱(y霉n)绠楁硶鍓�锛�
鎻涘厓娉�锛屽垎閮ㄧ⿳鍒嗘硶锛屾湁鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒�锛屼笁瑙掑嚱鏁�(sh霉)鏈夌悊鍒嗗紡鐨勭⿳鍒嗐€�
7锛庡畾绌嶅垎锛氬畾绌嶅垎鐨勬蹇�锛孌arboux 澶у拰鑸� Darboux 灏忓拰鐨勬蹇碉紝
Riemann 鍙⿳鐨勫厖鍒嗗繀瑕佹浠�锛屽彲绌嶅嚱鏁�(sh霉)椤烇紙閫ｇ簩(x霉)鍑芥暩(sh霉)锛屽彧鏈夋湁闄愬€�(g猫)闁�
鏂烽粸(di菐n)鐨勫嚱鏁�(sh霉)锛屽柈瑾�(di脿o)鏈夌晫鍑芥暩(sh霉)锛�锛屽畾绌嶅垎鐨勫熀鏈€ц唱(zh矛)锛岀⿳鍒嗙涓€涓€煎畾鐞�锛�
鍩烘湰绌嶅垎涓嶇瓑寮�锛孨ewton-Leibniz 鍏紡锛屽畾绌嶅垎鐨勬彌鍏冩硶鑸囧垎姝ョ⿳鍒嗘硶锛�
瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�銆�
8锛庡弽甯哥⿳鍒嗭細鍙嶅父绌嶅垎鏀舵杺鍜岀櫦(f膩)鏁ｇ殑姒傚康锛孋auchy 鏀舵杺鍘熺悊锛屾瘮
杓冨垽鍒ユ硶锛孋auchy 鍒ゅ垾娉�锛岀⿳鍒嗙浜屼腑鍊煎畾鐞�锛孉bel 鍒ゅ垾娉曪紝Dirichlet
鍒ゅ垾娉�锛孋auchy 绌嶅垎涓诲€肩殑姒傚康鍙婅▓(j矛)绠�銆�
9锛�?d膩ng)?sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)锛氭暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁ｇ殑姒傚康锛岀礆(j铆)鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)锛�
Cauchy 鏀舵杺婧�(zh菙n)鍓�锛屾闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚師鐞嗗強鍒ゅ垾娉曪紙姣旇純鍒ゅ垾娉�锛孋auchy
鍒ゅ垾娉�锛孌鈥橝lembert 鍒ゅ垾娉�锛岀⿳鍒嗗垽鍒ユ硶锛�锛屼氦閷�(cu貌)绱�(j铆)鏁�(sh霉)锛孡eibniz 鍒ゅ垾娉�锛�
绲曞皪(du矛)鏀舵杺鑸囨浠舵敹鏂傛蹇�锛� Abel 璁婃彌锛孉bel 鍒ゅ垾娉曪紝Dirchlet 鍒ゅ垾娉�,
绲曞皪(du矛)鏀舵杺绱�(j铆)鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
10. 鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉): 涓€鑷存敹鏂傜殑姒傚康鍙婃€ц唱(zh矛)锛堝拰鍑芥暩(sh霉)閫ｇ簩(x霉)鎬�锛岄€愰爡(xi脿ng)姹�
灏�(d菐o)锛岄€愰爡(xi脿ng)姹傜⿳锛夛紝涓€鑷存敹鏂傜殑鍒ゅ垾娉曪紙Weiezstzass 鍒ゅ垾娉�锛孉bel 鍒ゅ垾娉曪紝
Dirichlet 鍒ゅ垾娉曪級锛孌ini 瀹氱悊锛夛紝鍐礆(j铆)鏁�(sh霉)鐨勬敹鏂傚崐寰�锛屽啰绱�(j铆)鏁�(sh霉)鐨勬€ц唱(zh矛)锛堥€�
绾�(x霉)鎬�锛岄€愰爡(xi脿ng)姹傚皫(d菐o)锛岄€愰爡(xi脿ng)姹傜⿳锛�锛屽嚱鏁�(sh霉)鐨勫啰绱�(j铆)鏁�(sh霉)灞曢枊锛岀敤澶氶爡(xi脿ng)寮忛€艰繎閫ｇ簩(x霉)
鍑芥暩(sh霉)銆�
11. 姝愬咕閲屽緱绌洪枔涓婄殑妤甸檺鍜岄€ｇ簩(x霉): 姝愬咕閲屽緱绌洪枔涓婄殑璺濋洟鑸囨サ
闄�锛岄枊闆�銆侀枆闆嗐€佺穵闆嗙殑姒傚康锛屾瓙骞鹃噷寰楃┖闁撲笂鐨勫熀鏈畾鐞嗭紝澶氬厓鍑芥暩(sh霉)
妤甸檺鐨勬蹇靛強鎬ц唱(zh矛)锛岀疮娆℃サ闄�锛屽鍏冮€ｇ簩(x霉)鍑芥暩(sh霉)鐨勬蹇靛強鎬ц唱(zh矛)锛岀穵闆嗕笂閫�
绾�(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)銆�
12. 澶氬厓鍑芥暩(sh霉)鐨勫井鍒嗗(xu茅)锛氬亸灏�(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇�锛屽彲寰垏鍙皫(d菐o)銆佸彲
寰垏閫ｇ簩(x霉)鐨勯棞(gu膩n)绯伙紝楂橀殠鍋忓皫(d菐o)鏁�(sh霉)锛岄珮闅庡叏寰垎鐨勬蹇靛強瑷�(j矛)绠楋紝澶氬厓寰�(f霉)鍚堝嚱
鏁�(sh霉)姹傚皫(d菐o)鐨勯張?zh菙n)妞掆枌t锛屼竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛屼腑鍊煎畾鐞嗚垏 Taylor 鍏紡锛�
闅卞嚱鏁�(sh霉)鐨勫瓨鍦ㄦ€�锛屽弽鍑芥暩(sh霉)鐨勫瓨鍦ㄦ€э紝闅卞嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛岀┖闁撴洸绶氱殑鍒囩窔鑸�
娉曞钩闈�锛岀┖闁撴洸闈㈢殑鍒囧钩闈㈣垏娉曠窔锛屽鍏冨嚱鏁�(sh霉)鐨勬サ鍊煎強鍏舵眰娉�锛屾浠舵サ
鍊肩殑姒傚康鍙婃眰娉�銆�
13. 閲嶇⿳鍒嗭細閲嶇⿳鍒嗙殑姒傚康鍙婃€ц唱(zh矛)锛屼簩閲嶇⿳鍒嗙殑瑷�(j矛)绠楋紙鐩磋鍧愭(bi膩o)锛�
妤靛潗妯�(bi膩o)鍙婁竴鑸殑鍧愭(bi膩o)璁婃彌锛夊強鎳�(y墨ng)鐢�锛屼笁閲嶇⿳鍒嗙殑瑷�(j矛)绠楋紙涓夐噸绌嶅垎鍖栫偤绱�
娆＄⿳鍒�锛岀洿瑙掑潗妯�(bi膩o)銆佹煴闈㈠潗妯�(bi膩o)銆佺悆闈㈠潗妯�(bi膩o)鍙婁竴鑸彌鍏冩硶锛�锛屽弽甯搁噸绌嶅垎
鏀舵杺鑸囩櫦(f膩)鏁ｇ殑姒傚康鍙婂垽鍒�銆�
14. 鏇茬窔绌嶅垎鑸囨洸闈㈢⿳鍒嗭細绗竴椤炴洸绶氱⿳鍒嗚垏绗竴椤炴洸闈㈢⿳鍒嗙殑姒�
蹇点€佹€ц唱(zh矛)鍙婅▓(j矛)绠�锛岀浜岄鏇茬窔绌嶅垎鑸囩浜岄鏇查潰绌嶅垎鐨勬蹇点€佹€ц唱(zh矛)鍙婅▓(j矛)
绠�锛孏reen 鍏紡锛屽钩闈㈡洸绶氱⿳鍒嗚垏璺緫鐒�(w煤)闂�(gu膩n)鎬�锛孏auss 鍏紡锛孲tokes 鍏�
寮忋€�
15. 鍚弮璁婇噺鐨勭⿳鍒嗭細鍚弮璁婇噺鐨勫父缇╃⿳鍒嗙殑姒傚康鍙婃€ц唱(zh矛)锛堥€ｇ簩(x霉)鎬�锛�
绌嶅垎铏�(h脿o)涓嬫眰灏�(d菐o)锛岀⿳鍒嗘搴忕殑浜ゆ彌锛夛紝鍚弮璁婇噺鍙嶅父绌嶅垎涓€鑷存敹鏂傜殑姒傚康
鍙婃€ц唱(zh矛)锛堥€ｇ簩(x霉)鎬�锛岀⿳鍒嗚櫉(h脿o)涓嬫眰灏�(d菐o)鏁�(sh霉)锛岀⿳鍒嗘搴忕殑浜ゆ彌锛�锛屼竴鑷存敹鏂傚垽鍒�
娉�锛孊 鍑芥暩(sh霉)锛屝� 鍑芥暩(sh霉)锛孲tirling 鍏紡銆�
16. Fourier 绱�(j铆)鏁�(sh霉)锛氬嚱鏁�(sh霉)鐨� Fourier 绱�(j铆)鏁�(sh霉)灞曢枊锛孎(xi脿n)ourier 绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚垽
鍒ユ硶锛孎(xi脿n)ourier 绱�(j铆)鏁�(sh霉)鐨勫垎鏋愭€ц唱(zh矛)鑸囬€艰繎鎬ц唱(zh矛)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)锛屽鏈変镜鐘紝璜�(q菒ng)鑱�(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€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇(w煤)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(sh铆)锛屽皪(du矛)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(sh铆)鎬�銆佸畬鏁存€�銆佸強鏅�(sh铆)鎬ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛(q菒ng)璁€鑰呭儏浣滃弮鑰�锛屽苟璜�(q菒ng)鑷鏍稿(sh铆)鐩搁棞(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� 
