數(shù)學(xué)英文詞匯大全

1、微積分微積分第一章第一章函數(shù)與極限函數(shù)與極限Chapter1FunctionLimit集合set元素element子集subset空集emptyset并集union交集intersection差集differenceofset基本集basicset補(bǔ)集complementset直積directproduct笛卡兒積Cartesianproduct開區(qū)間openinterval閉區(qū)間closedinterval半開區(qū)間halfopenin

2、terval有限區(qū)間finiteinterval區(qū)間的長(zhǎng)度lengthofaninterval無限區(qū)間infiniteinterval領(lǐng)域neighbhood領(lǐng)域的中心centreofaneighbhood領(lǐng)域的半徑radiusofaneighbhood左領(lǐng)域leftneighbhood右領(lǐng)域rightneighbhood映射mappingX到Y(jié)的映射mappingofXontoY滿射surjection單射injection一一映射o

3、netoonemapping雙射bijection算子operat變化transfmation函數(shù)function逆映射inversemapping復(fù)合映射compositemapping自變量independentvariable因變量dependentvariable定義域domain函數(shù)值valueoffunction函數(shù)關(guān)系functionrelation值域range自然定義域naturaldomain極限limit數(shù)列seq

4、uenceofnumber收斂convergence收斂于aconvergetoa發(fā)散divergent極限的唯一性u(píng)niquenessoflimits收斂數(shù)列的有界性boundednessofaconvergentsequence子列subsequence函數(shù)的極限limitsoffunctions函數(shù)當(dāng)x趨于x0時(shí)的極限limitoffunctionsasxapproachesx0左極限leftlimit右極限r(nóng)ightlimit單

5、側(cè)極限onesidedlimits水平漸近線hizontalasymptote無窮小infinitesimal無窮大infinity鉛直漸近線verticalasymptote夾逼準(zhǔn)則squeezerule單調(diào)數(shù)列monotonicsequence高階無窮小infinitesimalofhigherder低階無窮小infinitesimaloflowerder同階無窮小infinitesimalofthesameder2高等數(shù)學(xué)翻譯等階

6、無窮小equivalentinfinitesimal函數(shù)的連續(xù)性continuityofafunction增量increment函數(shù)在x0連續(xù)thefunctioniscontinuousatx0左連續(xù)leftcontinuous右連續(xù)rightcontinuous區(qū)間上的連續(xù)函數(shù)continuousfunction函數(shù)在該區(qū)間上連續(xù)functioniscontinuousonaninterval不連續(xù)點(diǎn)discontinuitypoi

7、nt第一類間斷點(diǎn)discontinuitypointofthefirstkind第二類間斷點(diǎn)discontinuitypointofthesecondkind初等函數(shù)的連續(xù)性continuityoftheelementaryfunctions定義區(qū)間definedinterval最大值globalmaximumvalue(absolutemaximum)最小值globalminimumvalue(absoluteminimum)零點(diǎn)定理