緇艱璁＄畻鏈哄彂灞曠殑鍘嗙▼錛屾寜鏃墮棿鍏堝悗鐨勯『搴忥紝鍏堝悗鍑虹幇鐨勭儹娼槸鎿嶄綔緋葷粺銆佹暟鎹簱銆佺綉緇溿傞偅涔堜笅涓涓儹娼槸浠涔堬紵浠庤綆楁満鏄漢鐨勫伐浣滃伐鍏峰嚭鍙戯紝鎴戜滑涓嶉毦寰楀埌緇撹錛氫笅涓涓儹娼槸鍖呮嫭鍥懼艦鍥捐薄鍦ㄥ唴鐨勫姞寮轟俊鎭埄鐢ㄥ拰娌熼氱殑鏂瑰悜銆?/font>
璁＄畻鏈烘槸浜虹殑宸ュ叿錛岀爺絀惰綆楁満鐨勫悇涓柟闈㈠氨鏄浣胯繖縐嶅伐鍏峰ソ鐢ㄣ傚綋璁＄畻鏈哄緢闅炬搷浣滄椂錛屼漢浠氨涓昏鐮旂┒鎿嶄綔緋葷粺銆傝櫧鐒舵搷浣滅郴緇熷埌鐩墠榪樹(shù)笉鏄緢鐞嗘兂錛屼絾瀹冨熀鏈兘婊¤凍鐩墠浜轟滑浣跨敤璁＄畻鏈虹殑瑕佹眰銆傛墍浠ワ紝鍏充簬瀹冪殑楂樻疆灝辮繃鍘諱簡(jiǎn)銆傚湪璁＄畻鏈哄彲鐢ㄧ殑鎯呭喌涓嬶紝瀵硅綆楁満瑕佸鐞嗙殑淇℃伅鏁版嵁濡備綍榪涜楂樻晥鐨勭鐞嗗拰鍒╃敤錛屽氨鎴愪簡(jiǎn)浣跨敤璁＄畻鏈虹殑鐡墮銆備簬鏄紝鍏充簬鏁版嵁搴?/font>鐨勭爺絀跺氨鎴愪簡(jiǎn)鐑疆銆傚綋鏁版嵁鍦ㄦ満鍣ㄤ笂鍙緱鍒版湁鏁堢粍緇囧拰綆＄悊鍚庯紝濡備綍鍏變韓榪欎簺鏁版嵁鎴愭灉灝辨垚浜?jiǎn)鏂扮殑鐡堕锛屼簬鏄?b>緗戠粶灝辨垚浜?jiǎn)鏂扮殑鐡堕锛寴q欐槸鐩墠鍥介檯涓婅綆楁満棰嗗煙鏈媧昏穬鐨勭爺絀跺拰搴旂敤棰嗗煙銆傞偅涔堬紝褰撴暟鎹篃鑳藉緢濂藉湴鍏變韓鍚庯紝涓嬩竴涓儹娼槸浠涔堝憿錛熷洜涓鴻綆楁満涓殑鏁版嵁鐨勬渶緇堢洰鐨勬槸瑕佷負(fù)浜哄鐞嗗悇縐嶄簨鎯呮湇鍔＄殑錛屾墍浠ヨ繖浜涙暟鎹墍钑存兜鐨勪俊鎭浣曡兘楂樻晥鍦拌浜鴻嚜閫傚簲鍦般侀珮鏁堝湴鑾峰緱灝辨垚浜?jiǎn)璁〗帡鏈哄彂灞曞巻绋嬩腑鏂扮殑銆佷笅涓涓摱棰堛傞偅涔堜笅涓涓儹娼氨鍦ㄨ繖閲屻傚叾涓紝鐢變簬瑙嗚鏄漢綾?span class="GramE">鏈蹇嵎鐨勪俊鎭幏鐭ラ斿緞錛?b>鍥懼艦鍥懼儚灝嗘槸涓嬩竴涓儹娼腑鐨勪富瑕佸唴瀹廣傜洰鍓嶏紝緗戠粶鐨勫彂灞曞緢蹇紝浜轟滑瀵逛嬌鐢ㄧ綉緇滅殑鍚勭瑕佹眰涔熷ぇ澶氳兘鍩烘湰婊¤凍錛屾墍浠ワ紝涓嬩竴涓儹娼殑鍒版潵灝嗗緢蹇傜洰鍓嶏紝鍦ㄦ緹庣瓑鍙戣揪鍥藉錛屽叧浜庡浘褰?span class="GramE">鍥捐薄鐨勭爺絀跺拰搴旂敤姝ｅ浜庝竴縐嶇垎鐐稿紡鐨勫彂灞曢樁孌點(diǎn)?/font>
涓浗鍥懼艦瀛﹀彂灞曠幇鐘剁殑緇忔祹鐜板疄銆佸鏈熀紜鍘熷洜
涓浗鍥懼艦瀛﹀凡鍙栧緱浜?jiǎn)闀凯懗鐨剺q涙錛屽湪鍥介檯鍥懼艦瀛︾晫涔熸湁涓瓚充箣鍦般備絾鏄紝鏁翠綋鍦扮湅錛屼腑鍥藉浘褰㈠鍦ㄥ浗闄呬笂鐞嗚鐮旂┒鏂歸潰鐨勫湴浣嶄笉楂樸傚湪鍙︿竴鏂歸潰錛屽浗鍐呭叧浜庡浘褰?span class="GramE">鍥捐薄鐨勫簲鐢ㄥ緢澶氾紝浣嗚繖浜涘簲鐢ㄥ熀鏈槸鐓ф惉鍥藉鍏堣繘鍥藉鐨勬ā寮忋侀噰鐢ㄧ殑涔熷ぇ澶氭槸榪欎簺鍥藉鐨勬妧鏈拰杞歡銆傚湪涓浗錛屽浘褰㈠鐨勭爺絀跺拰搴旂敤涓ラ噸鑴辮妭銆?/font>
鏍規(guī)嵁椹厠鎬濈殑鍝插鐞嗚錛岃繖縐嶈劚鑺傚湪涓浗鐩墠鐨勭粡嫻庣幇鐘朵笅鏄畬鍏ㄥ悎鐞嗙殑錛佸洜涓虹粡嫻庡熀紜鍐沖畾涓婂眰寤虹瓚銆傚綋涓涓浗瀹剁殑緇忔祹鍩虹娌℃湁鍙戝睍鍒頒竴瀹氱殑紼嬪害錛屽畠?yōu)兏嶅彲鑳芥湁鏇撮珮灞倠啤鐨勯渶姹傦紱鑰屽綋瀹冪殑闇姹傚彲浠ヤ粠澶栭潰鐓ц埇鏃訛紝瀹冨綋鐒朵細(xì)閲囩敤鏈渚垮疁銆?span class="GramE">鏈緇忔祹鐨勬柟寮忎粠鍥藉鐓ф惉錛岃屼笉浼?xì)鑷忿q嫭绔嬪湴鍙戝睍銆傜洰鍓嶏紝嬈х編鍙戣揪鍥藉鐨勫浗姘戠粡嫻庢瘮鎴戝浗鍙戣揪錛屼粬浠凡緇忓巻榪囩殑涓浜涢渶姹傚彂灞曪紝姝ｆ槸鎴戝浗姝ｅ湪緇忓巻鐨勩傚洜姝わ紝鍦ㄧ幇闃舵錛屼腑鍥藉浘褰㈠鐨勭爺絀跺緢闅懼緱鍒頒駭涓氱晫鐨勬敮鎸併?/font>
褰撹嚜宸辨彁涓嶅嚭鍏堣繘鐨勯渶姹傛椂錛屼腑鍥藉浘褰㈠鐣岀殑鐮旂┒涓昏鏄窡韙浗闄呭浘褰㈠鍙戝睍鐨勬疆嫻併傚湪涓浜涙妧鏈毦鐐歸棶棰樹(shù)笂錛屼腑鍥藉浘褰㈠鐣屼篃鍙栧緱浜?jiǎn)涓浜涜繘灞曘備絾鏄紝鐢變簬緙轟箯搴旂敤闇姹傚埡嬋鐨勫己澶у熀紜錛屼腑鍥藉浘褰㈠瑕佸湪鍥介檯涓婃暣浣撴ф湁杈冮珮鐨勫湴浣嶆槸涓嶅お鐜板疄鐨勩傜敱浜庣己涔忚繖縐嶆暣浣撴х殑鍏堣繘鎬э紝涓浗鍥懼艦瀛︾殑瀛︽湳鍩虹寰堜笉騫寵 銆佷篃涓嶅帤瀹烇紝榪欏灝嗘潵鐨勫彂灞曞緢涓嶅埄銆?/font>
涓浗鍥懼艦瀛︾獊鐮?/span>鐨勯斿緞鍦ㄥ摢閲岋紵
娌℃湁鍘熷垱鐨勩佸墠鐬繪х殑鎴愭灉錛屽氨闅炬湁鏍稿績(jī)鐨勩佹湁绔炰簤鎬х殑浜т笟鎶鏈紝灝遍毦鏈夊浗瀹跺彂灞曠殑寮哄姏浜т笟銆佺粡嫻庛佹斂娌葷殑鏀寔銆傚湪璁＄畻鏈哄彂灞曠殑鍘嗙▼涓紝鎴戝浗宸查敊榪囦簡(jiǎn)璁稿鍘嗗彶鏈洪亣銆傞偅涔堝湪榪欎笅涓涓満閬囨潵涓存椂錛屾垜浠槸涓嶆槸涔熻閿欒繃錛?/font>
鍦ㄨ嚜韜?span class="GramE">闅炬彁鍑?/span>楂樺眰嬈＄殑闇姹傛椂錛屼腑鍥藉浘褰㈠鐨勭爺絀惰繕鏄彧鑳借窡韙浗闄呭浘褰㈠鍙戝睍鐨勬疆嫻併備負(fù)鏇村揩鍦版帉鎻″彂灞曞姩鍚戝拰瓚嬪娍錛屾垜浠渶瑕佸姞寮轟笌鍥藉鍏堣繘鍗曚綅鐨勪氦嫻併傜壒鍒槸瀵逛竴浜涙柊鍏寸殑鎶鏈拰鏂瑰悜錛岃鐫閲嶅彂灞曪紝鍥犱負(fù)澶у鍦ㄨ搗姝ユ椂鐨勫樊璺濅笉浼?xì)澶ぇ锛岃屾柊鎶鏈拰鏂版柟鍚戝鍥懼艦瀛︾殑鏁翠綋鍙戝睍鏈夋洿寮虹殑鍔ㄥ姏銆?/font>
鎴戜滑涔熸敞鎰忓埌錛屽浗澶栫殑鎶鏈槸鎻愪緵浜?jiǎn)瑙ｅ喅鐩墠鍙В鍐抽棶棰樼殑鏂规硶锛屼絾鏄Q屽疄璺典腑閬囧埌鐨勪竴浜涢棶棰樻槸鍥藉鎶鏈笉鑳借В鍐崇殑銆傝繖鍦ㄤ腑鍥界殑涓浜涘簲鐢ㄥ疄璺典腑涔熷彂鐢熶簡(jiǎn)銆備腑鍥藉浘褰㈠鐣屽簲澶氬叧娉ㄨ繖浜涢棶棰橈紝榪欐槸鎴戜滑璧惰秴鍥藉鐨勬満浼?xì)銆備絾鏄紝涓浗鐨勫簲鐢ㄥ崟浣嶅涓浗鐨勫浘褰㈠鐮旂┒涓嶄簡(jiǎn)瑙ｃ佹病鏈変俊蹇?jī)锛寴q欐槸闇瑕佸姞寮烘矡閫氭潵瑙ｅ喅鐨勶紝涔熸槸闇瑕佷腑鍥藉浘褰㈠鐣屾潵璇佹槑鐨勩?/font>
涓浗鍥懼艦瀛︾爺絀剁殑鏁翠綋鎬ф彁楂橈紝鏄繀欏誨緱鍒頒腑鍥戒駭涓氱晫鐨勬敮鎸佺殑銆傚浗瀹跺湪榪欐柟闈㈣鍔犲己瀵圭爺絀剁殑鏀寔銆佸姞寮哄瀹炶返搴旂敤鐨勬壎鎸併佸姞寮虹鎶綆＄悊鐨勫炬枩浼樺寲錛屼嬌鎴戝浗鑳芥洿鏃╁湴鑾峰緱鍥懼艦鍥捐薄澶勭悊鏂歸潰鐨勬牳蹇?jī)鐨勩佹湁绔炰簤鎬х殑鎴愭灉錛屽揩閫熷湴鎻愰珮鎴戝浗璁＄畻鏈哄彂灞曠殑瀹炲姏錛岃刀瓚呮緹庡彂杈懼浗瀹躲?/font>
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鏁板鍦ㄨ綆楁満鍥懼艦瀛︿腑鐨勫簲鐢?br />Greg聽(tīng)Turk,聽(tīng)August聽(tīng)1997
聽(tīng)鈥滃涔?fàn)璁〗帡鏈哄洃峙炲闇瑕佸灝戠殑鏁板錛熲濊繖鏄垵瀛﹁呮渶緇忓父闂殑闂銆傜瓟妗堝彇鍐充簬浣犳兂鍦ㄨ綆楁満鍥懼艦瀛﹂鍩熼捇鐮斿娣便傚鏋滀粎浠呬嬌鐢ㄥ懆鍥村斁鎵嬪彲寰楃殑鍥懼艦杞歡錛屼綘涓嶉渶瑕佺煡閬撳灝戞暟瀛︾煡璇嗐傚鏋滄兂瀛︿範(fàn)璁＄畻鏈哄浘褰㈠鐨勫叆闂ㄧ煡璇嗭紝鎴戝緩璁綘璇諱竴璇諱笅闈㈡墍鍐欑殑鍓嶄袱绔狅紙浠ｆ暟錛屼笁瑙掑鍜岀嚎鎬т唬鏁幫級(jí)銆傚鏋滄兂鎴愪負(fù)涓鍚嶅浘褰㈠鐨勭爺絀惰咃紝閭ｄ箞瀵規(guī)暟瀛︾殑瀛︿範(fàn)灝嗘槸媧誨埌鑰侊紝瀛﹀埌鑰併?br />濡傛灉浣犲茍涓嶇壒鍒枩嬈㈡暟瀛︼紝鏄惁浠嶆湁鍦ㄨ綆楁満鍥懼艦瀛﹂鍩熷伐浣滅殑鏈轟細(xì)錛熸槸鐨勶紝璁＄畻鏈哄浘褰㈠鐨勭‘鏈変竴浜涙柟闈笉闇瑕佽冭檻澶鐨勬暟瀛﹂棶棰樸備綘涓嶅簲璇ュ洜涓烘暟瀛︽垚緇╀笉濂借屾斁寮冨畠銆備笉榪囷紝濡傛灉瀛︿範(fàn)浜?jiǎn)鏇村鐨勬暟瀛︾煡璇嗗Q屼技涔庝綘灝嗗湪鐮旂┒璇鵑?shù)笂鏈夋洿澶氱殑閫夋嫨浣欏湴銆?br />瀵逛簬鍦ㄨ綆楁満鍥懼艦瀛︿腑鍝簺鏁板鎵嶆槸閲嶈鐨勮繕娌℃湁鏄庣‘鐨勭瓟妗堛傝繖棰嗗煙閲屼笉鍚岀殑鏂歸潰瑕佹眰鎺屾彙涓嶅悓鐨勬暟瀛︾煡璇嗭紝涔熻鍏磋叮灝嗕細(xì)鍐沖畾浜?jiǎn)浣犵殑鏂瑰悜銆備互涓嬩粙緇嶆垜璁や負(fù)瀵逛簬璁＄畻鏈哄浘褰㈠鏈夌敤鐨勬暟瀛︺傚埆浠ヤ負(fù)鎯蟲垚涓轟竴鍚嶅浘褰㈠鐨勭爺絀惰呭氨蹇呴』綺鵑氬悇闂ㄦ暟瀛︼紒涓轟簡(jiǎn)瀵圭敤浜庡浘褰㈠鐨勬暟瀛︽湁涓涓叏闈㈢殑鐪嬫硶錛屾垜鐗瑰湴鍒楀嚭浜?jiǎn)寰堝鏂归潰銆備絾鏄澶氱爺絀惰呬粠涓嶉渶瑕佽冭檻涓嬮潰鎻愬埌鐨勬暟瀛︺?br />鏈鍚庯紝铏界劧璇諱簡(jiǎn)榪欑瘒鏂囩珷鍚庯紝浣犲簲璇ヤ細(xì)瀵規(guī)暟瀛﹀湪璁＄畻鏈哄浘褰㈠涓殑搴旂敤鏈夋墍浜?jiǎn)瑙ｅQ屼笉榪囪繖浜涜鐐瑰畬鍏ㄦ槸鎴戣嚜宸辯殑銆備篃璁鎬綘搴旇闃呰鏇村鐨勬綾繪枃绔狅紝鎴栬呰嚦灝戜粠鍏朵粬浠庝簨璁＄畻鏈哄浘褰㈠宸ヤ綔鐨勪漢閭ｉ噷浜?jiǎn)瑙ｄ笉鍚岀殑瀛︿範(fàn)閲嶇倧V傜幇鍦ㄥ紑濮嬪垏鍏ユ棰樸?
聽(tīng)
浠ｆ暟鍜屼笁瑙掑
瀵逛簬璁＄畻鏈哄浘褰㈠鐨勫垵瀛﹁呮潵璇達(dá)紝楂樹(shù)腑鐨勪唬鏁板拰涓夎瀛﹀彲鑳芥槸鏈閲嶈鐨勬暟瀛︺傛棩澶嶄竴鏃ワ紝鎴戜粠綆鍗曠殑鏂圭▼瑙ｅ嚭涓涓垨鏇村鐨勬牴銆傛垜鏃跺父榪樿瑙ｅ喅綾諱技姹備竴浜涘嚑浣曞浘褰㈣竟闀跨殑綆鍗曚笁瑙掑闂銆備唬鏁板拰涓夎瀛︽槸璁＄畻鏈哄浘褰㈠鐨勬渶鍩虹鐨勭煡璇嗐?br />閭ｄ箞楂樹(shù)腑鐨勫嚑浣曞鎬庝箞鏍峰憿錛熷彲鑳借浜烘儕璁訛紝涓嶈繃鍦ㄥ鏁拌綆楁満鍥懼艦瀛﹂噷錛岄珮?shù)腑鐨勫嚑浣曞迤堜笉缁忓父琚敤鍒般傚師鍥犳槸璁稿瀛︽牎鏁欑殑鍑犱綍瀛﹀疄闄呬笂鏄浣曞緩绔嬫暟瀛﹁瘉鏄庣殑璇劇▼銆傝櫧鐒惰瘉鏄庨瀵規(guī)彁楂樻櫤鍔涙樉鐒舵槸鏈夋晥鐨勶紝浣嗗浜庤綆楁満鍥懼艦瀛︽潵璇達(dá)紝閭ｄ簺涓庡嚑浣曡鏈夊叧鐨勫畾鐞嗗拰璇佹槑騫朵笉甯歌鐢ㄥ埌銆傚鏋滀綘姣曚笟浜庢暟瀛︾浉鍏抽鍩燂紙鍖呮嫭璁＄畻鏈哄浘褰㈠錛夛紝灝變細(xì)鍙戠幇铏界劧浣犲湪璇佹槑瀹氱悊錛屼笉榪囪繖瀵瑰紑濮嬪涔?fàn)鍥惧舰瀛︿笉鏄繀瑕佺殑銆?br />濡傛灉綺鵑氫唬鏁板拰涓夎瀛︼紝灝卞彲浠ュ紑濮嬭涓鏈綆楁満鍥懼艦瀛︾殑鍏ラ棬涔︿簡(jiǎn)銆備笅涓涓噸瑕佺殑鐢ㄤ簬璁＄畻鏈哄浘褰㈠鐨勬暟瀛︹斺旂嚎鎬т唬鏁幫紝澶氭暟姝ょ被涔︾睄鑷沖皯鍖呭惈浜?jiǎn)涓涓綰挎т唬鏁扮殑綆瑕佷粙緇嶃?br />鎺ㄨ崘鐨勫弬鑰冧功:聽(tīng)
Computer聽(tīng)Graphics:聽(tīng)Principles聽(tīng)and聽(tīng)Practice聽(tīng)
James聽(tīng)Foley,聽(tīng)Andries聽(tīng)van聽(tīng)Dam,聽(tīng)Steven聽(tīng)Feiner,聽(tīng)John聽(tīng)Hughes聽(tīng)
Addison-Wesley聽(tīng)
[铏界劧鍘氶噸錛屽彲鏄垜寰堝枩嬈
綰挎т唬鏁?br />綰挎т唬鏁扮殑鎬濇兂璐┛浜庤綆楁満鍥懼艦瀛︺備簨瀹炰笂錛屽彧瑕佺壍娑夊埌鍑犱綍鏁板艱〃紺烘硶,灝卞父甯告娊璞″嚭渚嬪x,y,z鍧愭爣涔嬬被鐨勬暟鍊鹼紝鎴戜滑縐頒箣涓虹煝閲忋傚浘褰㈠鑷鑷崇粓紱諱笉寮鐭㈤噺鍜岀煩闃點(diǎn)傜敤鐭㈤噺鍜岀煩闃墊潵鎻忚堪鏃嬭漿錛屽鉤縐伙紝鎴栬呯緝鏀炬槸鍐嶅ソ涓嶈繃浜?jiǎn)銆傞珮?shù)腑鍜屽ぇ瀛﹂兘鏈壘U挎т唬鏁扮殑璇劇▼銆傚彧瑕佹兂鍦ㄨ綆楁満鍥懼艦瀛﹂鍩熷伐浣滐紝灝卞簲璇ユ墦涓嬪潥瀹炵殑綰挎т唬鏁板熀紜銆傛垜鍒氭墠鎻愬埌錛岃澶氬浘褰㈠鐨勪功閮芥湁鍏充簬綰挎т唬鏁扮殑綆瑕佷粙緇嶁斺旇凍澶熸暀緇欎綘鍥懼艦瀛︾殑絎竴闂ㄨ銆?br />鎺ㄨ崘鐨勫弬鑰冧功:聽(tīng)
Linear聽(tīng)Algebra聽(tīng)and聽(tīng)I(yíng)ts聽(tīng)Applications聽(tīng)
Gilbert聽(tīng)Strang聽(tīng)
Academic聽(tīng)Press
寰Н鍒嗗聽(tīng)
寰Н鍒嗗鏄珮綰ц綆楁満鍥懼艦瀛︾殑閲嶈鎴愬垎銆傚鏋滄墦綆楃爺絀跺浘褰㈠錛屾垜寮虹儓寤鴻浣犲簲璇ュ寰Н鍒嗗鏈夊垵姝ヨ璇嗐傜悊鐢變笉浠呬粎鏄井縐垎瀛︽槸涓縐嶅緢鏈夌敤鐨勫伐鍏鳳紝榪樻湁璁稿鐮旂┒鑰呯敤寰Н鍒嗗鐨勬湳璇潵鎻忚堪浠栦滑鐨勯棶棰樺拰瑙ｅ喅鍔炴硶銆傚彟澶栵紝鍦ㄨ澶氶噸瑕佺殑鏁板棰嗗煙錛屽井縐垎瀛﹁浣滀負(fù)榪涗竴姝ュ涔?fàn)鐨勫墠鎻愩傚涔?fàn)浜?jiǎn)鍩烘湰浠ｆ暟涔嬪悗錛屽井縐垎瀛﹀張鏄竴縐嶈兘涓轟綘鎵撳紑澶氭暟璁＄畻鏈哄浘褰㈠涓庡悗緇х殑鏁板瀛︿範(fàn)涔嬮棬鐨勮紼嬨?br />寰Н鍒嗗鏄垜浠嬬粛鐨勬渶鍚庝竴涓腑瀛﹁紼嬶紝浠ヤ笅鎻愬強(qiáng)鐨勭鐩嚑涔庡叏閮ㄦ槸澶у鐨勮紼嬨?/font>
寰垎鍑犱綍瀛?br />寰垎鍑犱綍瀛︾爺絀舵敮閰嶅厜婊戞洸綰匡紝鏇查潰鐨勬柟紼嬬粍銆傚鏋滀綘瑕佽綆楀嚭緇忚繃鏌愪釜榪滅鏇查潰鐨勭偣騫跺瀭鐩翠簬鏇查潰鐨勭煝閲忥紙娉曞悜鐭㈤噺錛夊氨浼?xì)鐢ㄥ埌寰垎鍑犱綍瀛︺傝涓杈嗘苯杞︿互鐗瑰畾閫熷害鍦ㄦ洸綰夸笂琛岄┒涔熺壍娑夊埌寰垎鍑犱綍瀛︺傛湁涓縐嶉氱敤鐨勭粯鍒跺厜婊戞洸闈㈢殑鍥懼艦瀛︽妧鏈紝鍙仛鈥滃嚬鍑稿笘鍥鋸濓紝榪欎釜鎶鏈敤鍒頒簡(jiǎn)寰垎鍑犱綍瀛︺傚鏋滆鐫鎵嬩簬鐢ㄦ洸綰垮拰鏇查潰鏉ュ垱閫犲艦浣擄紙鍦ㄥ浘褰㈠閲岀О涔嬩負(fù)寤烘ā錛変綘鑷沖皯搴旇瀛︿範(fàn)寰垎鍑犱綍瀛︾殑鍩虹銆?br />鎺ㄨ崘鐨勫弬鑰冧功:聽(tīng)
Elementary聽(tīng)Differential聽(tīng)Geometry聽(tīng)
Barrett聽(tīng)O'Neill聽(tīng)
Academic聽(tīng)Press聽(tīng)
鏁板兼柟娉?br />鍑犱箮浠諱綍鏃跺欙紝鎴戜滑鍦ㄨ綆楁満閲岀敤榪戜技鍊間唬鏇跨簿紜兼潵琛ㄧず鍜屾搷浣滄暟鍊鹼紝鎵浠ヨ綆楄繃紼嬫繪槸浼?xì)鏈夎宸傝屼笖瀵逛簬緇欏畾鐨勬暟鍊奸棶棰橈紝甯稿父鏈夊縐嶈В鍐崇殑鏂規(guī)硶錛屼竴浜涙柟娉曚細(xì)鏇村潡錛屾洿綺劇‘鎴栬呭鍐呭瓨鐨勯渶姹傛洿灝戙傛暟鍊兼柟娉曠爺絀剁殑瀵硅薄鍖呮嫭鈥滆綆楁柟娉曗濆拰鈥滅瀛﹁綆椻濈瓑絳夈傝繖鏄竴涓緢騫塊様鐨勯鍩燂紝鑰屼笖鎴戝皢鎻愬強(qiáng)鐨勫叾浠栧嚑闂ㄦ暟瀛﹀叾瀹炴槸鏁板兼柟娉曠殑涓浜涘垎鏀傝繖浜涘垎鏀寘鎷娊鏍鋒硶鐞嗚錛岀煩闃墊柟紼嬬粍錛屾暟鍊煎井鍒嗘柟紼嬬粍鍜屾渶浼樺寲銆?br />鎺ㄨ崘鐨勫弬鑰冧功:聽(tīng)
Numerical聽(tīng)Recipes聽(tīng)in聽(tīng)C:聽(tīng)The聽(tīng)Art聽(tīng)of聽(tīng)Scientific聽(tīng)Computing聽(tīng)
William聽(tīng)Press,聽(tīng)Saul聽(tīng)Teukolsky,聽(tīng)William聽(tīng)Vetterling聽(tīng)and聽(tīng)Brian聽(tīng)Flannery聽(tīng)
Cambridge聽(tīng)University聽(tīng)Press聽(tīng)
[榪欐湰鍙傝冧功寰堟湁浠峰煎彲鏄緢灝戜綔涓烘暀鏉愪嬌鐢╙
鎶芥牱娉曠悊璁哄拰淇″彿澶勭悊
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The聽(tīng)Fourier聽(tīng)Transform聽(tīng)and聽(tīng)I(yíng)ts聽(tīng)Applications聽(tīng)
Ronald聽(tīng)N.聽(tīng)Bracewell聽(tīng)
McGraw聽(tīng)Hill
鐭╅樀鏂圭▼緇?br />璁＄畻鏈哄浘褰㈠鐨勮澶氶棶棰樿鐢ㄥ埌鐭╅樀鏂圭▼緇勭殑鏁板艱В娉曘備竴浜涙秹鍙?qiáng)鐭╅橂姎勯棶棰樺寘鎷Q氭壘鍑烘渶濂界殑浣嶇疆涓庢柟鍚戜互浣垮璞′滑浜掔浉鍖歸厤錛堟渶灝忎簩涔樻硶錛夛紝鍒涘緩涓涓鐩栨墍緇欑偣闆嗙殑鏇查潰錛屽茍浣跨毐鎶樼▼搴︽渶灝忥紙钖勬澘鏍鋒潯綆楁硶錛夛紝榪樻湁鏉愯川妯℃嫙錛屼緥濡傛按鍜岃。鏈嶇瓑銆傚湪鍥懼艦瀛﹂噷鐭╅樀琛ㄨ堪鐩稿綋嫻佽錛屽洜姝ゅ湪鐢ㄤ簬鍥懼艦瀛︾殑鏁板涓垜瀵圭煩闃墊柟紼嬬粍鐨勮瘎浠鋒槸寰堥珮鐨勩?br />鎺ㄨ崘鐨勫弬鑰冧功:聽(tīng)
Matrix聽(tīng)Computations聽(tīng)
Gene聽(tīng)Golub聽(tīng)and聽(tīng)Charles聽(tīng)Van聽(tīng)Loan聽(tīng)
Johns聽(tīng)Hopkins聽(tīng)University聽(tīng)Press
鐗╃悊瀛?br />鐗╃悊瀛︽樉鐒朵笉鏄暟瀛︾殑鍒嗘敮錛屽畠鏄嚜鎴愪竴瀹剁殑瀛︾銆備絾鏄湪璁＄畻鏈哄浘褰㈠鐨勬煇浜涢鍩燂紝鐗╃悊瀛﹀拰鏁板鏄揣瀵嗚仈緋葷殑銆傚湪鍥懼艦瀛﹂噷錛岀壍娑夌墿鐞嗗鐨勯棶棰樺寘鎷厜涓庣墿浣撶殑琛ㄩ潰鏄庢牱浜掔浉褰卞搷鐨勶紝浜轟笌鍔ㄧ墿鐨勭Щ鍔ㄦ柟寮忥紝姘翠笌絀烘皵鐨勬祦鍔ㄣ備負(fù)浜?jiǎn)妯℃嫙杩欎簺鑷劧鐜拌薄锛岀墿鐞嗗鐨勭煡璇嗘槸蹇呬笉鍙癁畱鐨勩傝繖鍜岃В寰垎鏂圭▼绱у瘑鑱旂郴錛屾垜灝嗕細(xì)鍦ㄤ笅涓鑺傛彁鍒板井鍒嗘柟紼嬨?/font>
寰垎鏂圭▼鐨勬暟鍊艱В娉?br />鎴戠浉淇″浜庤綆楁満鍥懼艦瀛︽潵璇達(dá)紝瑙ｅ井鍒嗘柟紼嬬殑鎶宸ф槸闈炲父閲嶈鐨勩傚儚鎴戜滑鍒氭墠璁ㄨ鐨勶紝璁＄畻鏈哄浘褰㈠鑷村姏浜庢ā鎷熸簮浜庣湡瀹炰笘鐣岀殑鐗╃悊緋葷粺銆傛嘗嫻槸鎬庢牱鍦ㄦ按閲屽艦鎴愮殑錛屽姩鐗╂槸鎬庢牱鍦ㄥ湴闈笂琛岃蛋鐨勶紝榪欏氨鏄袱涓ā鎷熺墿鐞嗙郴緇熺殑渚嬪瓙銆傛ā鎷熺墿鐞嗙郴緇熺殑闂緇忓父灝辨槸鎬庢牱瑙ｅ井鍒嗘柟紼嬬殑鏁板艱В銆傝娉ㄦ剰錛屽井鍒嗘柟紼嬬殑鏁板艱В娉曚笌寰垎鏂圭▼鐨勭鍙瘋В娉曟槸鏈夊緢澶у樊寮傜殑銆傜鍙瘋В娉曟眰鍑烘病鏈夎宸殑瑙ｏ紝鑰屼笖鏃跺父鍙敤浜庝竴浜涢潪甯哥畝鍗曠殑鏂圭▼銆傛湁鏃跺ぇ瀛﹁紼嬮噷鐨勨滃井鍒嗘柟紼嬧濆彧鏁欑鍙瘋В娉曪紝涓嶈繃榪欏茍涓嶄細(xì)瀵瑰鏁拌綆楁満鍥懼艦瀛︾殑闂鏈夊府鍔┿?br />鍦ㄥ鐗╃悊緋葷粺鐨勬ā鎷熶腑錛屾垜浠妸涓栫晫緇嗗垎涓鴻澶氳〃紺烘垚鐭㈤噺鐨勫皬鍏冪礌銆傜劧鍚庤繖浜涘厓绱犱箣闂寸殑鍏崇郴灝卞彲浠ョ敤鐭╅樀鏉ユ弿榪般傝櫧鐒惰澶勭悊鐨勭煩闃墊柟紼嬬粍寰寰娌℃湁寰堢簿紜殑瑙ｏ紝浣嗘槸鍙栬屼唬涔嬬殑鏄墽琛屼簡(jiǎn)涓緋誨垪鐨勮綆楋紝榪欎簺璁＄畻浜х敓涓涓〃紺烘垚鏁板垪鐨勮繎浼艱В銆傝繖灝辨槸寰垎鏂圭▼鐨勬暟鍊艱В娉曘傝娉ㄦ剰錛岀煩闃墊柟紼嬬殑瑙ｆ硶涓庡井鍒嗘柟紼嬫暟鍊艱В娉曠殑鍏崇郴鏄緢瀵嗗垏鐨勩偮?/font>
鏈浼樺寲
鍦ㄨ綆楁満鍥懼艦瀛﹂噷錛屾垜浠父甯鎬負(fù)浜?jiǎn)鏈熸湜鐨勭洰鏍囧L眰涓縐嶅悎閫傜殑鎻忚堪瀵硅薄鎴栬呭璞￠泦鐨勬柟娉曘備緥濡傚畨鎺掔伅鐨勪綅緗嬌寰楁埧闂寸殑鐓ф槑鐪嬭搗鏉ユ湁縐嶇壒孌婄殑鈥滄劅瑙夆濓紝鍔ㄧ敾閲岀殑浜虹墿瑕佹庢牱媧誨姩鍥涜偄鎵嶈兘瀹炵幇涓涓壒孌婄殑鍔ㄤ綔錛屾庢牱鎺掔増鎵嶄笉浼?xì)鋴蓹宓闈㈡贩湄曘備互涓婅繖浜涗緥瀛愬彲浠ュ綊緇撲負(fù)鏈浼樺寲闂銆傚崄騫村墠鐨勮綆楁満鍥懼艦瀛﹀嚑涔庢病鏈夋渶浼樺寲鎶鏈殑鏂囩尞錛屼笉榪囨渶榪戣繖涓鍩熻秺鏉ヨ秺閲嶈鏈浼樺寲鐞嗚銆傛垜璁や負(fù)鍦ㄨ綆楁満鍥懼艦瀛﹂噷錛屾渶浼樺寲鐨勯噸瑕佹у皢浼?xì)鏃ョ泭澧炲姞銆?/font>
姒傜巼璁轟笌緇熻瀛?br />璁＄畻鏈哄浘褰㈠鐨勮澶氶鍩熼兘瑕佺敤鍒版鐜囪涓庣粺璁″銆傚綋鐮旂┒鑰呮秹瓚充漢綾誨縐戞椂錛屼粬浠綋鐒墮渶瑕佺粺璁″鏉ュ垎鏋愭暟鎹傚浘褰㈠鐩稿叧棰嗗煙娑夊強(qiáng)浜虹被瀛︾錛屼緥濡傝櫄鎷熺幇瀹炲拰浜烘満浜や簰(HCI)銆傚彟澶栵紝璁稿鐢ㄨ綆楁満鎻忕粯鐪熷疄涓栫晫鐨勯棶棰樼壍娑夊埌鍚勭鏈煡浜嬩歡鐨勬鐜囥備袱涓緥瀛愶細(xì)涓媯墊垚闀挎湡鐨勬爲(wèi),瀹冪殑鏍?wèi)鏋濆垎鏉堢殑姒傜巼锛涜櫄鎷熺殑鍔ㄧ墿濡備綍鍐冲畾瀹冪殑琛岃蛋璧\綰褲傛渶鍚庯紝涓浜涜В楂橀毦搴︽柟紼嬬粍鐨勬妧宸х敤浜?jiǎn)闅忔満鏁版潵浼拌鏂菇E嬬粍鐨勮В銆傞噸瑕佺殑渚嬪瓙錛氳挋鐗瑰崱緗楁柟娉曠粡甯哥敤浜庡厜濡備綍浼犳挱鐨勯棶棰樸備互涓婁粎鏄竴閮ㄥ垎鍦ㄨ綆楁満鍥懼艦瀛﹂噷浣跨敤姒傜巼璁哄拰緇熻瀛︾殑鏂規(guī)硶銆?/font>
璁＄畻鍑犱綍瀛?br />璁＄畻鍑犱綍瀛︾爺絀跺浣曠敤璁＄畻鏈洪珮鏁堝湴琛ㄧず涓庢搷浣滃嚑浣曚綋銆傚吀鍨嬮棶棰樺錛岀鎾炴嫻嬶紝鎶婂杈瑰艦鍒嗚В涓轟笁瑙掑艦錛屾壘鍑烘渶闈犺繎鏌愪釜浣嶇疆鐨勭偣錛岃繖涓縐戝寘鎷簡(jiǎn)榪愮畻娉曞垯錛屾暟鎹粨鏋勫拰鏁板銆傚浘褰㈠鐨勭爺絀惰咃紝鍙娑夎凍鍒涘緩褰綋錛堝緩妯★級(jí)錛屽氨瑕佸ぇ閲忕敤鍒拌綆楀嚑浣曞銆?br />鎺ㄨ崘鐨勫弬鑰冧功:聽(tīng)
Computational聽(tīng)Geometry聽(tīng)in聽(tīng)C聽(tīng)
Joseph聽(tīng)O'Rourke聽(tīng)
Cambridge聽(tīng)University聽(tīng)Press聽(tīng)
[澶у鏁欐潗]聽(tīng)
Computational聽(tīng)Geometry:聽(tīng)An聽(tīng)I(yíng)ntroduction聽(tīng)
Franco聽(tīng)Preparata聽(tīng)and聽(tīng)Michael聽(tīng)Shamos聽(tīng)
Springer-Verlag聽(tīng)
[寰堢粡鍏革紝涓嶈繃鏈夌偣鏃т簡(jiǎn)]
鎬葷粨錛氭暟瀛﹀簲鐢ㄥ拰鏁板鐞嗚
瀵逛簬鍥懼艦瀛︽潵璇達(dá)紝浠ヤ笂鎻愬埌鐨勮澶氭暟瀛﹀縐戦兘鏈変釜鍏卞悓鐐癸細(xì)姣旇搗榪欎簺鏁板鐨勭悊璁轟環(huán)鍊鹼紝鎴戜滑鏇村懼悜浜庡彂鎺樺畠浠殑搴旂敤浠峰箋備笉瑕佹儕璁躲傚浘褰㈠鐨勮澶氶棶棰樺拰鐗╃悊瀛﹁呬笌宸ョ▼甯堜滑鐮旂┒鐨勯棶棰樻槸绱у瘑鑱旂郴鐨勶紝騫朵笖鐗╃悊瀛﹁呬笌宸ョ▼甯堜滑浣跨敤鐨勬暟瀛﹀伐鍏鋒鏄浘褰㈠鐮旂┒鑰呬滑浣跨敤鐨勩傚鏁扮爺絀剁函鏁板鐞嗚鐨勫縐戜粠涓嶈鐢ㄤ簬璁＄畻鏈哄浘褰㈠銆備笉榪囪繖涓嶆槸緇濆鐨勩傝娉ㄦ剰榪欎簺鐗逛緥錛氬垎瀛愮敓鐗╁姝ｅ埄鐢ㄨ妭鐞嗚鏉ョ爺絀禗NA鍒嗗瓙鍔ㄥ姏瀛︼紝浜氬師瀛愮墿鐞嗗鐢ㄥ埌浜?jiǎn)鎶借薄缇よ銆備篃璁告湁涓澶╋紝綰暟瀛︾悊璁轟篃鑳芥帹鍔ㄨ綆楁満鍥懼艦瀛︾殑鍙戝睍錛岃皝鐭ラ亾鍛紵
鏈変簺鐪嬫潵閲嶈鐨勬暟瀛﹀疄闄呬笂鍦ㄨ綆楁満鍥懼艦瀛﹂噷涓嶅父琚敤鍒般傚彲鑳芥嫇鎵戝鏄綾繪暟瀛︿腑鏈鏈夋剰鎬濈殑銆傜敤涓鍙ヨ瘽鏉ュ艦瀹規(guī)嫇鎵戝錛屽畠鐮旂┒娌圭偢鍦堥ゼ涓庡挅鍟℃澂涓轟粈涔堝湪鏈川涓婃槸鐩稿悓鐨勩傜瓟妗堟槸浠栦滑閮芥槸鍙湁涓涓礊鐨勬洸闈€傛垜浠潵璁ㄨ涓涓嬫嫇鎵戝鐨勬濇兂銆傝櫧鐒舵洸闈㈡槸璁＄畻鏈哄浘褰㈠鐨勯噸瑕佹垚鍒嗭紝涓嶈繃寰垎鍑犱綍瀛︾殑璇劇▼宸茬粡娑電洊浜?jiǎn)澶氭暟瀵瑰洃峙炲鏈夌敤鐨勬嫇鎵戝鐭ヨ瘑銆傚井鍒嗗嚑浣曞鐮旂┒鏇查潰鐨勯犲瀷錛屽彲鏄嫇鎵戝鐮旂┒鏇查潰鐨勭浉閭誨叧緋匯傛垜瑙夊緱鎷撴墤瀛﹀浜庡浘褰㈠鏉ヨ鍑犱箮娌＄敤錛岃繖鏄敱浜庢嫇鎵戝鍏沖績(jī)鎶借薄鐨勪簨鐗╋紝鑰屼笖鎷撴墤瀛﹁繙紱諱簡(jiǎn)澶氭暟鍥懼艦瀛︾殑鏍稿績(jī)鈥斺斾笁緇存姘忕┖闂寸殑姒傚康銆傚浜庡浘褰㈠鏉ヨ錛屾嫇鎵戝鐨勫艦寮忥紙絎﹀彿琛ㄧず娉曪級(jí)鏄〃杈炬濇兂鐨勭畝渚挎柟娉曪紝涓嶈繃鍥懼艦瀛﹀緢灝戠敤鍒版娊璞℃嫇鎵戝鐨勫疄闄呭伐鍏楓傚鍥懼艦瀛︽潵璇達(dá)紝鎷撴墤瀛﹀儚涓涓ソ鐪嬬殑鑺辯摱錛屼笉榪囧埆鎸囨湜瀹冭兘绔嬪嵆甯︾粰浣犲洖鎶ャ?br />鏈変漢鏇劇粡榪欎箞闂垜錛岃綆楁満鍥懼艦瀛︽槸鍚︾敤鍒頒簡(jiǎn)鎶借薄浠ｆ暟錛堢兢璁猴紝鐜紝絳夌瓑鈥?錛夋垨鑰呮暟璁恒傛垜娌℃庝箞閬囧埌榪囥傚拰鎷撴墤瀛︿竴鏍鳳紝榪欎簺瀛︾鏈夊緢澶氱編濂界殑鎬濇兂銆傚彲鏄緢涓嶅垢錛岃繖浜涙濇兂寰堝皯鐢ㄤ簬璁＄畻鏈哄浘褰㈠銆?/font>
緗戝弸graphiboy鐨勮瘎璁?/strong>
浣滆呯炕璇戠殑闈炲父濂斤紝鎴戞兂搴旇鏄湁鐞嗗伐縐戠殑楂樼瓑鏁欒偛鑳屾櫙鍚с傞潪甯告劅璋綔鑰呯殑緲昏瘧錛岃榪欎箞濂界殑涓綃囨枃绔犱負(fù)鏇村鐨勪腑鍥借鑰呮墍鎺ュ彈銆?br />璋堣皥瀵硅繖綃囨枃绔犵殑鐪嬫硶錛屾垜鎯籌紝鏂囩珷涓彁鍒頒竴浜涙暟瀛﹀垎鏀紝鎸夌収鎴戜滑鍥藉鐨勬暀鑲蹭綋鍒訛紝鍙湁涓婂埌紜曞＋鐮旂┒鐢熼樁孌電殑鐞嗗伐縐戝鐢熸墠鑳藉叏閮ㄦ秹鍙?qiáng)鍒板Q屼緥濡傦細(xì)鏁板兼柟娉曞氨鏄緢澶氬伐縐戠澹爺絀墮樁孌電殑鏁欐巿縐戠洰錛?br />鎴戝鏂囩珷涓叧浜庤鏈煡璇嗗亸閲嶄簬璇佹槑浠ユ瀯寤哄畬澶囩殑鏁板鐞嗚妗嗘灦錛岃岃繖瀵瑰疄闄呭簲鐢ㄦ病鏈夌洿鎺ュ府鍔╃殑瑙傜偣鏄潪甯告湁鍏遍福鐨勶紱鐞嗚鍜屽疄璺墊槸鐩鎬簰渚濆瓨錛岃屽張鐩鎬簰鍖哄埆鐨勶紱浠庤鎳備竴綃嚶?tīng)SGI聽(tīng)GRAPH聽(tīng)鐨勮鏂囷紝鍒版妸瀹冨彉?shù)负瀹為檯鐨劷E嬪簭錛屽浜庝竴涓啛緇冪殑鍥懼艦紼嬪簭鍛樻潵璇達(dá)紝鑷沖皯鏄?涓湀鐨勬椂闂達(dá)紝榪欐槸鐞嗚涓庡疄璺典箣闂寸殑璺濈銆?br />鏂囩珷瀵逛簬鍥懼艦瀛︽秹鍙?qiáng)鐨勬暟瀛﹂棬绫荤殑鍒嗘瀽锛屽姏姹傚叏闈㈠Q涗簨瀹炰笂錛屽緢闅炬湁涓涓漢鑳藉叏閮ㄧ簿閫氬叏閮ㄧ殑鐭ヨ瘑錛屽浜庡浘褰㈠鐨勫涔?fàn)鍜屽疄璺靛Q屽簲褰撻噰鍙栨帉鎻¤緝涓哄騫跨殑鏁板鐭ヨ瘑鍩虹錛屽湪闇瑕佺殑鏃跺欙紝瀵圭浉鍏崇煡璇嗚繘琛屾繁鍏ョ殑絳栫暐錛?br />涓嶈鍥犱負(fù)鑷韓鏁板鐭ヨ瘑鐨勫尞涔忚屾伯涓э紝鏇翠笉鑳藉洜姝よ屾晫瑙嗘暟瀛︼紝鎴戞兂淇濇寔涔愯涓婅繘鐨勬佸害鏄涔?fàn)鍥惧舰瀛︾殑鍏抽敭銆?br />
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