高等數(shù)學(xué)名詞(中英文)

1、高等數(shù)學(xué)名詞（中英文）第一章函數(shù)與極限Chapter1FunctionandLimit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halfopeninterval有限區(qū)間finiteinterval區(qū)間的長度lengthofaninterval無限區(qū)間infiniteinterval領(lǐng)域neighborhoo

2、d領(lǐng)域的中心centreofaneighborhood領(lǐng)域的半徑radiusofaneighborhood左領(lǐng)域leftneighborhood右領(lǐng)域rightneighborhood映射mappingX至iY的映射mappingofXontoY滿射surjection單射injection一一映射one-to-onemapping雙射bijection算子operator變化transformation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doma

3、in函數(shù)值valueoffunction函數(shù)關(guān)系functionrelation值域range自然定義域naturaldomain單值函數(shù)singlevaluedfunction多值函數(shù)multiplevaluedfunction單值分支one-valuedbranch函數(shù)圖形graphofafunction絕對值函數(shù)absolutevalue符號函數(shù)sighfunction整數(shù)部分integralpart階梯曲線stepcurve當(dāng)且僅當(dāng)ifandonlyif(iff)分段函數(shù)piecewisefunction上界upperbound下界lowerbound有界boundedness無界un

4、bounded函數(shù)的單調(diào)性monotonicityofafunction單調(diào)增加的increasing單調(diào)減少的decreasing單調(diào)函數(shù)monotonefunction函數(shù)的奇偶性parity(odevity)ofafunction對稱symmetry偶函數(shù)evenfunction奇函數(shù)oddfunction函數(shù)的周期性periodicityofafunction周期period反函數(shù)inversefunction直接函數(shù)directfunction復(fù)合函數(shù)compositefunction中間變量intermediatevariable函數(shù)的運(yùn)算operationoffunction基本

5、初等函數(shù)basicelementaryfunction初等函數(shù)elementaryfunction冪函數(shù)powerfunction指數(shù)函數(shù)exponentialfunction對數(shù)函數(shù)logarithmicfunction三角函數(shù)trigonometricfunction反三角函數(shù)inversetrigonometricfunction常數(shù)函數(shù)constantfunction雙曲函數(shù)hyperbolicfunction雙曲正弦hyperbolicsine雙曲余弦hyperboliccosine雙曲正切hyperbolictangent反雙曲正弦inversehyperbolicsine反雙曲余

6、弦inversehyperboliccosine反雙曲正切inversehyperbolictangent極限limit數(shù)列sequenceofnumber收斂convergence收斂于aconvergetoa發(fā)散divergent極限的唯一性uniquenessoflimits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時的極限limitoffunctionsasxapproachesx0左極限leftlimit右極限r(nóng)ightlimit單側(cè)極限one-sidedlim

7、its水平漸近線horizontalasymptote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infinitesimalofhigherorder低階無窮小infinitesimaloflowerorder同階無窮小infinitesimalofthesameorder等階無窮小equivalentinfinitesimal函數(shù)的連續(xù)性continuityofafunction增量increment函數(shù)在x0連續(xù)thefunctioniscontinuou

8、satx0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)discontinuitypoint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(absolutemax

9、imum)最小值globalminimumvalue(absoluteminimum)零點(diǎn)定理thezeropointtheorem介值定理intermediatevaluetheorem第二章導(dǎo)數(shù)與微分Chapter2DerivativeandDifferential速度velocity勻速運(yùn)動uniformmotion平均速度averagevelocity瞬時速度instantaneousvelocity圓的切線tangentlineofacircle切線tangentline切線的斜率slopeofthetangentline位置函數(shù)positionfunction導(dǎo)數(shù)derivativ

10、e可導(dǎo)derivable函數(shù)的變化率問題problemofthechangerateofafunction導(dǎo)函數(shù)derivedfunction左導(dǎo)數(shù)left-handderivative右導(dǎo)數(shù)right-handderivative單側(cè)導(dǎo)數(shù)one-sidedderivatives在閉區(qū)間a,b上可導(dǎo)isderivableontheclosedintervala,b切線方程tangentequation角速度angularvelocity成本函數(shù)costfunction邊際成本marginalcost鏈?zhǔn)椒▌tchainrule隱函數(shù)implicitfunction顯函數(shù)explicitfunct

11、ion二階函數(shù)secondderivative三階導(dǎo)數(shù)thirdderivative高階導(dǎo)數(shù)nthderivative萊布尼茨公式Leibnizformula對數(shù)求導(dǎo)法log-derivative參數(shù)方程parametricequation相關(guān)變化率correlativechangerata微分differential可微的differentiable函數(shù)的微分differentialoffunction自變量的微分differentialofindependentvariable微商differentialquotient間接測量誤差indirectmeasurementerror絕對誤差a

12、bsoluteerror相對誤差relativeerror第三章微分中值定理與導(dǎo)數(shù)的應(yīng)用Chapter3MeanValueTheoremofDifferentialsandtheApplicationofDerivatives羅馬定理Rollestheorem費(fèi)馬引理Fermatslemma拉格朗日中值定理Lagrangesmeanvaluetheorem駐點(diǎn)stationarypoint穩(wěn)定點(diǎn)stablepoint臨界點(diǎn)criticalpoint輔助函數(shù)auxiliaryfunction拉格朗日中值公式Lagrangesmeanvalueformula柯西中值定理Cauchysmeanval

13、uetheorem洛必達(dá)法則LHospitalsRule0/0型不定式indeterminateformoftype0/0不定式indeterminateform泰勒中值定理Taylorsmeanvaluetheorem泰勒公式Taylorformula余項(xiàng)remainderterm拉格朗日余項(xiàng)Lagrangeremainderterm麥克勞林公式Maclaurinsformula佩亞諾公式Peanoremainderterm凹凸性concavity凹向上的concaveupward,cancaveup凹向下的，向上凸的concavedownwardconcavedown拐點(diǎn)inflectio

14、npoint函數(shù)的極值extremumoffunction極大值local(relative)maximum最大值global(absolute)mximum極小值local(relative)minimum最小值global(absolute)minimum目標(biāo)函數(shù)objectivefunction曲率curvature弧微分arcdifferential平均曲率averagecurvature曲率園circleofcurvature曲率中心centerofcurvature曲率半徑radiusofcurvature漸屈線evolute漸伸線involute根的隔離isolationofro

15、ot隔離區(qū)間isolationinterval切線法tangentlinemethod第四章不定積分Chapter4IndefiniteIntegrals原函數(shù)primitivefunction(anti-derivative)積分號signofintegration被積函數(shù)integrand積分變量integralvariable積分曲線integralcurve積分表tableofintegrals換元積分法integrationbysubstitution分部積分法integrationbyparts分部積分公式formulaofintegrationbyparts有理函數(shù)rationa

16、lfunction真分式properfraction假分式improperfraction第五章定積分Chapter5DefiniteIntegrals曲邊梯形trapezoidwith曲邊curveedge窄矩形narrowrectangle曲邊梯形的面積areaoftrapezoidwithcurvededge積分下限lowerlimitofintegral積分上限upperlimitofintegral積分區(qū)間integralinterval分割partition積分和integralsum可積integrable矩形法rectanglemethod積分中值定理meanvaluetheo

17、remofintegrals函數(shù)在區(qū)間上的平均值averagevalueofafunctiononanintegvals牛頓萊布尼茨公式Newton-Leibnizformula微積分基本公式fundamentalformulaofcalculus換元公式formulaforintegrationbysubstitution遞推公式recurrenceformula反常積分improperintegral反常積分發(fā)散divergent反常積分收斂convergent無窮限的反常積分infiniteinterval無界函數(shù)的反常積分unboundedfunctions絕對收斂theimprope

18、rintegralistheimproperintegralisimproperintegralonanimproperintegralofabsolutelyconvergent第六章定積分的應(yīng)用Chapter6ApplicationsoftheDefiniteIntegrals元素法theelementmethod面積元素elementofarea平面圖形的面積areaofaluanefigure直角坐標(biāo)又稱“笛卡兒坐標(biāo)(Cartesiancoordinates)”極坐標(biāo)polarcoordinates拋物線parabola橢圓ellipse旋轉(zhuǎn)體的面積volumeofasolidofro

19、tation旋轉(zhuǎn)橢球體ellipsoidofrevolution,ellipsoidofrotation曲線的弧長arclengthofacurve可求長的rectifiable光滑smooth功work水壓力waterpressure引力gravitation變力variableforce第七章空間解析幾何與向量代數(shù)Chapter7SpaceAnalyticGeometryandVectorAlgebra向量vector自由向量freevector單位向量unitvector零向量zerovector相等equal平行parallel向量的線性運(yùn)算linearpoerationofvecto

20、r三角法則trianglerule平行四邊形法則parallelogramrule交換律commutativelaw結(jié)合律associativelaw負(fù)向量negativevector差difference分配律distributivelaw空間直角坐標(biāo)系spacerectangularcoordinates坐標(biāo)面coordinateplane卦限octant向量的模modulusofvector向量a與b的夾角anglebetweenvectoraandb方向余弦directioncosine方向角directionangle向量在軸上的投影projectionofavectorontoan

21、axis數(shù)量積，外積，叉積scalarproduct,dotproduct,innerproduct曲面方程equationforasurface球面sphere旋轉(zhuǎn)曲面surfaceofrevolution母線generatingline軸axis圓錐面cone頂點(diǎn)vertex旋轉(zhuǎn)單葉雙曲面revolutionhyperboloidsofonesheet旋轉(zhuǎn)雙葉雙曲面revolutionhyperboloidsoftwosheets柱面cylindricalsurface,cylinder圓柱面cylindricalsurface準(zhǔn)線directrix拋物柱面paraboliccylinde

22、r二次曲面quadricsurface橢圓錐面dllipticcone橢球面ellipsoid單葉雙曲面hyperboloidofonesheet雙葉雙曲面hyperboloidoftwosheets旋轉(zhuǎn)橢球面ellipsoidofrevolution橢圓拋物面ellipticparaboloid旋轉(zhuǎn)拋物面paraboloidofrevolution雙曲拋物面hyperbolicparaboloid馬鞍面saddlesurface橢圓柱面ellipticcylinder雙曲柱面hyperboliccylinder拋物柱面paraboliccylinder空間曲線spacecurve空間曲線的一

23、般方程generalformequationsofaspacecurve空間曲線的參數(shù)方程parametricequationsofaspacecurve螺轉(zhuǎn)線spiral螺矩pitch投影柱面projectingcylinder投影projection平面的點(diǎn)法式方程pointnormformeqyationofaplane法向量normalvector平面的一般方程generalformequationofaplane兩平面的夾角anglebetweentwoplanes點(diǎn)到平面的距離distancefromapointtoaplane空間直線的一般方程generalequationofa

24、lineinspace方向向量directionvector直線的點(diǎn)向式方程pointdirectionformequationsofaline方向數(shù)directionnumber直線的參數(shù)方程parametricequationsofaline兩直線的夾角anglebetweentwolines垂直perpendicular直線與平面的夾角anglebetweenalineandaplanes平面束pencilofplanes平面束的方程equationofapencilofplanes行列式determinant系數(shù)行列式coefficientdeterminant第八章多元函數(shù)微分法及其

25、應(yīng)用Chapter8DifferentiationofFunctionsofSeveralVariablesandItsApplication一元函數(shù)functionofonevariable多元函數(shù)functionofseveralvariables內(nèi)點(diǎn)interiorpoint外點(diǎn)exteriorpoint邊界點(diǎn)frontierpoint,boundarypoint聚點(diǎn)pointofaccumulation開集openset閉集closedset連通集connectedset開區(qū)域openregion閉區(qū)域closedregion有界集boundedset無界集unboundedsetn維

26、空間n-dimentionalspace二重極限doublelimit多元函數(shù)的連續(xù)性continuityoffunctionofseveal連續(xù)函數(shù)continuousfunction不連續(xù)點(diǎn)discontinuitypoint一致連續(xù)uniformlycontinuous偏導(dǎo)數(shù)partialderivative對自變量x的偏導(dǎo)數(shù)partialderivativewithrespecttoindependentvariablex高階偏導(dǎo)數(shù)partialderivativeofhigherorder二階偏導(dǎo)數(shù)secondorderpartialderivative混合偏導(dǎo)數(shù)hybridpart

27、ialderivative全微分totaldifferential偏增量oartialincrement偏微分partialdifferential全增量totalincrement可微分differentiable必要條件necessarycondition充分條件sufficientcondition疊加原理superpostitionprinciple全導(dǎo)數(shù)totalderivative中間變量intermediatevariable隱函數(shù)存在定理theoremoftheexistenceofimplicitfunction曲線的切向量tangentvectorofacurve法平面no

28、rmalplane向量方程vectorequation向量值函數(shù)vector-valuedfunction切平面tangentplane法線normalline方向?qū)?shù)directionalderivative梯度gradient數(shù)量場scalarfield梯度場gradientfield向量場vectorfield勢場potentialfield引力場gravitationalfield引力勢gravitationalpotential曲面在一點(diǎn)的切平面tangentplanetoasurfaceatapoint曲線在一點(diǎn)的法線normallinetoasurfaceatapoint無條件極

29、值unconditionalextremevalues條件極值conditionalextremevalues拉格朗日乘數(shù)法Lagrangemultipliermethod拉格朗日乘子Lagrangemultiplier經(jīng)驗(yàn)公式empiricalformula最小二乘法methodofleastsquares均方誤差meansquareerror第九章重積分Chapter9MultipleIntegrals二重積分doubleintegral可加性additivity累次積分iteratedintegral體積元素volumeelement三重積分tripleintegral直角坐標(biāo)系中的體積

30、元素volumeelementinrectangularcoordinatesystem柱面坐標(biāo)cylindricalcoordinates柱面坐標(biāo)系中的體積元素volumeelementincylindricalcoordinatesystem球面坐標(biāo)sphericalcoordinates球面坐標(biāo)系中的體積元素volumeelementinsphericalcoordinatesystem反常二重積分improperdoubleintegral曲面的面積areaofasurface質(zhì)心centreofmass靜矩staticmoment密度density形心centroid轉(zhuǎn)動慣量mome

31、ntofinertia參變量parametricvariable第十章曲線積分與曲面積分Chapter10Line(Curve)IntegralsandSurfaceIntegrals對弧長的曲線積分lineintegralswithrespecttoarchength第一類曲線積分lineintegralsofthefirsttype對坐標(biāo)的曲線積分lineintegralswithrespecttox,y,andz第二類曲線積分lineintegralsofthesecondtype有向曲線弧directedarc單連通區(qū)域simpleconnectedregion復(fù)連通區(qū)域complex

32、connectedregion格林公式Greenformula第一類曲面積分surfaceintegralsofthefirsttype對面的曲面積分surfaceintegralswithrespecttoarea有向曲面directedsurface對坐標(biāo)的曲面積分surfaceintegralswithrespecttocoordinateelements第二類曲面積分surfaceintegralsofthesecondtype有向曲面元elementofdirectedsurface高斯公式gaussformula拉普拉斯算子Laplaceoperator格林第一公式Greensfi

33、rstformula通量flux散度divergence斯托克斯公式Stokesformula環(huán)流量circulation旋度rotation,curl第十一章無窮級數(shù)Chapter11InfiniteSeries一般項(xiàng)generalterm部分和partialsum余項(xiàng)remainderterm等比級數(shù)geometricseries幾何級數(shù)geometricseries公比commonratio調(diào)和級數(shù)harmonicseries柯西收斂準(zhǔn)則Cauchyconvergencecriteria,Cauchycriteriaforconvergence正項(xiàng)級數(shù)seriesofpositivete

34、rms達(dá)朗貝爾判別法DAlemberttest柯西判別法Cauchytest交錯級數(shù)alternatingseries絕對收斂absolutelyconvergent條件收斂conditionallyconvergent柯西乘積Cauchyproduct函數(shù)項(xiàng)級數(shù)seriesoffunctions發(fā)散點(diǎn)pointofdivergence收斂點(diǎn)pointofconvergence收斂域convergencedomain和函數(shù)sumfunction冪級數(shù)powerseries冪級數(shù)的系數(shù)coeffcientsofpowerseries阿貝爾定理AbelTheorem收斂半徑radiusofconv

35、ergence收斂區(qū)間intervalofconvergence泰勒級數(shù)Taylorseries麥克勞林級數(shù)Maclaurinseries二項(xiàng)展開式binomialexpansion近似計算approximatecalculation舍入誤差round-offerror,roundingerror歐拉公式Eulersformula魏爾斯特拉絲判別法Weierstrasstest三角級數(shù)trigonometricseries振幅amplitude角頻率angularfrequency初相initialphase矩形波squarewave諧波分析harmonicanalysis直流分量direct

36、component基波fundamentalwave二次諧波secondharmonic三角函數(shù)系trigonometricfunctionsystem傅立葉系數(shù)Fouriercoefficient傅立葉級數(shù)Forrierseries周期延拓periodicprolongation正弦級數(shù)sineseries余弦級數(shù)cosineseries奇延拓oddprolongation偶延拓evenprolongation傅立葉級數(shù)的復(fù)數(shù)形式complexformofFourierseries第十二章微分方程Chapter12DifferentialEquation解微分方程solveadifferen

37、tialequation常微分方程ordinarydifferentialequation偏微分方程partialdifferentialequation,PDE微分方程的階orderofadifferentialequation微分方程的解solutionofadifferentialequation微分方程的通解generalsolutionofadifferentialequation初始條件initialcondition微分方程的特解particularsolutionofadifferentialequation初值問題initialvalueproblem微分方程的積分曲線int

38、egralcurveofadifferentialequation可分離變量的微分方程variableseparabledifferentialequation隱式解implicitsolution隱式通解inplicitgeneralsolution衰變系數(shù)decaycoefficient衰變decay齊次方程homogeneousequation一階線性方程lineardifferentialequationoffirstorder非齊次non-homogeneous齊次線性方程homogeneouslinearequation非齊次線性方程non-homogeneouslinearequ

39、ation常數(shù)變易法methodofvariationofconstant暫態(tài)電流transientstatecurrent穩(wěn)態(tài)電流steadystatecurrent伯努利方程Bernoulliequation全微分方程totaldifferentialequation積分因子integratingfactor高階微分方程differentialequationofhigherorder懸鏈線catenary高階線性微分方程lineardifferentialequationofhigherorderfreevibration強(qiáng)迫振動的微分方程differentialequationof自由

40、振動的微分方程differentialequationofforcedoscillation串聯(lián)電路的振蕩方程oscillationequationofseriescircuit階線性微分方程secondorderlineardifferentialequation線性相關(guān)linearlydependence線性無關(guān)linearlyindependence二階常系數(shù)齊次線性微分方程secondorderhomogeneouslineardifferentialequationwithconstantcoefficient二階變系數(shù)齊次線性微分方程secondorderhomogeneousli

41、neardifferentialequationwithvariablecoefficient特征方程characteristicequation無阻尼自由振動的微分方程differentialequationoffreevibrationwithzerodamping固有頻率naturalfrequency簡諧振動simpleharmonicoscillation,simpleharmonicvibration微分算子differentialoperator待定系數(shù)法methodofundeterminedcoefficient共振現(xiàn)象resonancephenomenon歐拉方程Euler

42、equation冪級數(shù)解法powerseriessolution數(shù)值解法numerialsolution勒讓德方程Legendreequation微分方程組systemofdifferentialequations常系數(shù)線性微分方程組systemoflineardifferentialequationswithconstantcoefficientV、X、Z:Valueoffunction：函數(shù)值Variable：變數(shù)Vector：向量Velocity：速度Verticalasymptote：垂直漸近線Volume：體積X-axis：x軸x-coordinate：x坐標(biāo)x-intercept：

43、x截距Zerovector：函數(shù)的零點(diǎn)Zerosofapolynomial：多項(xiàng)式的零點(diǎn)T:Tangentfunction：正切函數(shù)Tangentline：切線Tangentplane：切平面Tangentvector：切向量Totaldifferential：全微分Trigonometricfunction：三角函數(shù)Trigonometricintegrals：三角積分Trigonometricsubstitutions：三角代換法Tripeintegrals：三重積分S:Saddlepoint：鞍點(diǎn)Scalar：純量Secantline：割線Secondderivative：二階導(dǎo)數(shù)Sec

44、ondDerivativeTest：二階導(dǎo)數(shù)試驗(yàn)法Secondpartialderivative：二階偏導(dǎo)數(shù)Sector：扇形Sequence：數(shù)列Series：級數(shù)Set：集合Shellmethod：剝殼法Sinefunction：正弦函數(shù)Singularity：奇點(diǎn)Slantasymptote：斜漸近線Slope：斜率Slope-interceptequationofaline：直線的斜截式Smoothcurve：平滑曲線Smoothsurface：平滑曲面Solidofrevolution：旋轉(zhuǎn)體Space：空間Speed：速率Sphericalcoordinates：球面坐標(biāo)Squee

45、zeTheorem：夾擠定理Stepfunction：階梯函數(shù)Strictlydecreasing：嚴(yán)格遞減Strictlyincreasing：嚴(yán)格遞增Sum：和Surface：曲面Surfaceintegral：面積分Surfaceofrevolution：旋轉(zhuǎn)曲面Symmetry：對稱R:Radiusofconvergence：收斂半徑Rangeofafunction：函數(shù)的值域Rateofchange：變化率Rationalfunction：有理函數(shù)Rationalizingsubstitution：有理代換法Rationalnumber：有理數(shù)Realnumber：實(shí)數(shù)Rectang

46、ularcoordinates：直角坐標(biāo)Rectangularcoordinatesystem：直角坐標(biāo)系Relativemaximumandminimum：相對極大值與極小值Revenuefunction：收入函數(shù)Revolution,solidof：旋轉(zhuǎn)體Revolution,surfaceof：旋轉(zhuǎn)曲面RiemannSum：黎曼和Riemanniangeometry：黎曼幾何Right-handderivative：右導(dǎo)數(shù)Right-handlimit：右極限Root：根P、Q:Parabola：拋物線Paraboliccylinder：拋物柱面Paraboloid：拋物面Paralle

47、lepiped：平行六面體Parallellines：并行線Parameter：參數(shù)Partialderivative：偏導(dǎo)數(shù)Partialdifferentialequation：偏微分方程Partialfractions：部分分式Partialintegration：部分積分Partiton：分割Period：周期Periodicfunction：周期函數(shù)Perpendicularlines：垂直線Piecewisedefinedfunction分段定義函數(shù)Plane：平面Pointofinflection：反曲點(diǎn)Polaraxis：極軸Polarcoordinate：極坐標(biāo)Polareq

48、uation：極方程式Pole：極點(diǎn)Polynomial：多項(xiàng)式Positiveangle：正角Point-slopeform：點(diǎn)斜式Powerfunction：冪函數(shù)Product：積Quadrant：象限QuotientLawoflimit極限的商定律QuotientRule：商定律M、N、O:Maximumandminimumvalues：極大與極小值MeanValueTheorem：均值定理Multipleintegrals：重積分Multiplier：乘子Naturalexponentialfunction自然指數(shù)函數(shù)Naturallogarithmfunction自然對數(shù)函數(shù)Nat

49、uralnumber：自然數(shù)Normalline：法線Normalvector：法向量Number：數(shù)Octant：卦限Oddfunction：奇函數(shù)One-sidedlimit：單邊極限Openinterval：開區(qū)間Optimizationproblems：最佳化問題Order：階Ordinarydifferentialequation：常微分方程Origin：原點(diǎn)Orthogonal：正交的L:Laplacetransform：Leplace變換LawofCosines：余弦定理Leastupperbound：最小上界Left-handderivative：左導(dǎo)數(shù)Left-handlim

50、it：左極限Lemniscate：雙鈕線Length：長度Levelcurve：等高線LHospitalsrule洛必達(dá)法則Limacon：蚶線Limit：極限Linearapproximation：線性近似Linearequation：線性方程式Linearfunction：線性函數(shù)Linearity：線性Linearization：線性化Lineintheplane：平面上之直線Lineinspace：空間之直線Lobachevskigeometry羅巴切夫斯基幾何Localextremum：局部極值Localmaximumandminimum局部極大值與極小值Logarithm：對數(shù)Lo

51、garithmicfunction：對數(shù)函數(shù)I:Implicitdifferentiation：隱求導(dǎo)法Implicitfunction：隱函數(shù)Improperintegral：瑕積分Increasing/DecreasingTest遞增或遞減試驗(yàn)法Increment：增量IncreasingFunction：增函數(shù)Indefiniteintegral：不定積分Independentvariable：自變數(shù)Indeterminatefrom：不定型Inequality：不等式Infinitepoint：無窮極限Infiniteseries：無窮級數(shù)Inflectionpoint：反曲點(diǎn)Inst

52、antaneousvelocity：瞬時速度Integer：整數(shù)Integral：積分Integrand：被積分式Integration：積分Integrationbypart：分部積分法Intercepts：截距IntermediatevalueofTheorem中間值定理Interval：區(qū)間Inversefunction：反函數(shù)Inversetrigonometricfunction反三角函數(shù)Iteratedintegral：逐次積分H:Highermathematics高等數(shù)學(xué)/高數(shù)E、F、G、H:Ellipse：橢圓Ellipsoid：橢圓體Epicycloid：外擺線Equatio

53、n：方程式Evenfunction：偶函數(shù)ExpectedValued：期望值ExponentialFunction：指數(shù)函數(shù)Exponents,lawsof：指數(shù)率Extremevalue：極值ExtremeValueTheorem：極值定理Factorial：階乘FirstDerivativeTest：一階導(dǎo)數(shù)試驗(yàn)法Firstoctant：第一卦限Focus：焦點(diǎn)Fractions：分式Function：函數(shù)FundamentalTheoremofCalculus：微積分基本定理Geometricseries：幾何級數(shù)Gradient：梯度Graph：圖形GreenFormula：格林公式

54、Half-angleformulas：半角公式Harmonicseries：調(diào)和級數(shù)Helix：螺旋線HigherDerivative：高階導(dǎo)數(shù)Horizontalasymptote：水平漸近線Horizontalline：水平線Hyperbola：雙曲線Hyperboloid：雙曲面D:Decreasingfunction：遞減函數(shù)Decreasingsequence：遞減數(shù)列Definiteintegral：定積分Degreeofapolynomial：多項(xiàng)式之次數(shù)Density：密度Derivative：導(dǎo)數(shù)ofacompositefunction：復(fù)合函數(shù)之導(dǎo)數(shù)ofaconstantf

55、unction：常數(shù)函數(shù)之導(dǎo)數(shù)directional：方向?qū)?shù)domainof：導(dǎo)數(shù)之定義域ofexponentialfunction：指數(shù)函數(shù)之導(dǎo)數(shù)higher：高階導(dǎo)數(shù)partial：偏導(dǎo)數(shù)ofapowerfunction：冪函數(shù)之導(dǎo)數(shù)ofapowerseries：羃級數(shù)之導(dǎo)數(shù)ofaproduct：積之導(dǎo)數(shù)ofaquotient：商之導(dǎo)數(shù)asarateofchange：導(dǎo)數(shù)當(dāng)作變率right-hand：右導(dǎo)數(shù)second：二階導(dǎo)數(shù)astheslopeofatangent導(dǎo)數(shù)看成切線之斜率Determinant：行列式Differentiablefunction可導(dǎo)函數(shù)Differentia

56、l：微分Differentialequation：微分方程partial：偏微分方程Differentiation：求導(dǎo)法implicit：隱求導(dǎo)法partial：偏微分法termbyterm：逐項(xiàng)求導(dǎo)法Directionalderivatives：方向?qū)?shù)Discontinuity：不連續(xù)性Diskmethod：圓盤法Distance：距離Divergence：發(fā)散Domain：定義域Dotproduct：點(diǎn)積Doubleintegral：二重積分changeofvariablein二重積分之變數(shù)變換inpolarcoordinates：極坐標(biāo)二重積分C:Calculus：微積分differ

57、ential：微分學(xué)integral：積分學(xué)Cartesiancoordinates：笛卡兒坐標(biāo)一般指直角坐標(biāo)Cartesiancoordinatessystem笛卡兒坐標(biāo)系CauchsMeanValueTheorem柯西均值定理ChainRule：連鎖律Changeofvariables：變數(shù)變換Circle：圓Circularcylinder：圓柱Closedinterval：封閉區(qū)間Coefficient：系數(shù)Compositionoffunction：函數(shù)之合成Compoundinterest：復(fù)利Concavity：凹性Conchoid：蚌線Cone：圓錐Constantfuncti

58、on：常數(shù)函數(shù)Constantofintegration：積分常數(shù)Continuity：連續(xù)性atapoint：在一點(diǎn)處之連續(xù)性ofafunction：函數(shù)之連續(xù)性onaninterval：在區(qū)間之連續(xù)性fromtheleft：左連續(xù)fromtheright：右連續(xù)Continuousfunction：連續(xù)函數(shù)Convergence：收斂intervalof：收斂區(qū)間radiusof：收斂半徑Convergentsequence：收斂數(shù)列series：收斂級數(shù)Coordinate:s：坐標(biāo)Cartesian：笛卡兒坐標(biāo)cylindrical：柱面坐標(biāo)polar：極坐標(biāo)rectangular：直

59、角坐標(biāo)spherical：球面坐標(biāo)Coordinateaxes：坐標(biāo)軸Coordinateplanes：坐標(biāo)平面Cosinefunction：余弦函數(shù)Criticalpoint：臨界點(diǎn)Cubicfunction：三次函數(shù)Curve：曲線Cylinder：圓柱CylindricalCoordinates：圓柱坐標(biāo)A、B:Absoluteconvergence：絕對收斂Absoluteextremevalues：絕對極值A(chǔ)bsolutemaximumandminimum絕對極大與極小Absolutevalue：絕對值A(chǔ)bsolutevaluefunction：絕對值函數(shù)Acceleration：加

60、速度Antiderivative：反導(dǎo)數(shù)Approximateintegration：近似積分Approximation：逼近法bydifferentials：用微分逼近linear：線性逼近法bySimpsonsRule：Simpson法則逼近法bytheTrapezoidalRule梯形法則逼近法Arbitraryconstant：任意常數(shù)Arclength：弧長Area：面積underacurve：曲線下方之面積betweencurves：曲線間之面積inpolarcoordinates：極坐標(biāo)表示之面積ofasectorofacircle：扇形之面積ofasurfaceofarevol