微积分英文词汇,高数名词中英文对照,高等数学术语英语翻译一览关键词：微积分英文,高等数学英文翻译,高数英语词汇来源：上海外教网|发布日期：2008-05-1617:12V、X、Z:?Valueoffunction：函数值Variable：变数Vector：向量X-axisT:?S:?ScalarSecantline：割线Secondderivative：二阶导数SecondDerivativeTest：二阶导数试验法Secondpartialderivative：二阶偏导数Sector：扇形Sequence：数列Series：级数Set：集合Shellmethod：剥壳法Sinefunction：正弦函数Singularity：奇点Slantasymptote：斜渐近线Slope：斜率Slope-interceptequationofaline：直线的斜截式Smoothcurve：平滑曲线Smoothsurface：平滑曲面Solidofrevolution：旋转体Space：空间Speed：速率Sphericalcoordinates：球面坐标SqueezeTheorem：夹挤定理Stepfunction：阶梯函数Strictlydecreasing：严格递减SumR:?Right-handlimit：右极限Root：根P、Q:?Parabola：抛物线Paraboliccylinder：抛物柱面Paraboloid：抛物面Parallelepiped：平行六面体Parallellines：并行线Parameter：参数Partialderivative：偏导数Partialdifferentialequation：偏微分方程Partialfractions：部分分式Partialintegration：部分积分Partiton：分割Period：周期Periodicfunction：周期函数Perpendicularlines：垂直线Piecewisedefinedfunction：分段定义函数Plane：平面Pointofinflection：反曲点PoleM、NOctant：卦限Oddfunction：奇函数One-sidedlimit：单边极限Openinterval：开区间Optimizationproblems：最佳化问题Order：阶Ordinarydifferentialequation：常微分方程Origin：原点Orthogonal：正交的L:?Laplacetransform：Leplace变换LawofCosines：余弦定理Leastupperbound：最小上界Left-handderivative：左导数Left-handlimit：左极限Lemniscate：双钮线Length：长度Levelcurve：等高线L'Hospital'srule：洛必达法则Limacon：蚶线LimitI:?Inequality：不等式Infinitepoint：无穷极限Infiniteseries：无穷级数Inflectionpoint：反曲点Instantaneousvelocity：瞬时速度Integer：整数Integral：积分Integrand：被积分式Integration：积分Integrationbypart：分部积分法Intercepts：截距IntermediatevalueofTheorem：中间值定理Interval：区间Inversefunction：反函数Inversetrigonometricfunction：反三角函数Iteratedintegral：逐次积分H:?Highermathematics高等数学/高数E、FEllipseFocusGraphHelixHigherDerivative：高阶导数Horizontalasymptote：水平渐近线Horizontalline：水平线Hyperbola：双曲线Hyperboloid：双曲面D:?Decreasingfunction：递减函数Decreasingsequence：递减数列Definiteintegral：定积分Degreeofapolynomial：多项式之次数Density：密度Derivative：导数?ofacompositefunction：复合函数之导数ofaconstantfunction：常数函数之导数directional：方向导数domainof：导数之定义域ofexponentialfunction：指数函数之导数higher：高阶导数partial：偏导数ofapowerfunction：幂函数之导数secondpartialpartialinpolarcoordinates：极坐标二重积分C:?Calculus：微积分?differential：微分学integral：积分学Cartesiancoordinates：笛卡儿坐标一般指直角坐标Cartesiancoordinatessystem：笛卡儿坐标系Cauch’sMeanValueTheorem：柯西均值定理ChainRule：连锁律Changeofvariables：变数变换Circle：圆Circularcylinder：圆柱Closedinterval：封闭区间Coefficient：系数Compositionoffunction：函数之合成Compoundinterest：复利Concavity：凹性Conchoid：蚌线Cone：圆锥Constantfunction：常数函数seriespolarCurveCylinder：圆柱CylindricalCoordinates：圆柱坐标A、B:?Absoluteconvergence：绝对收敛Absoluteextremevalues：绝对极值Absolutemaximumandminimum：绝对极大与极小Absolutevalue：绝对值Absolutevaluefunction：绝对值函数Acceleration：加速度Antiderivative：反导数Approximateintegration：近似积分Approximation：逼近法? bydifferentials：用微分逼近linear：线性逼近法bySimpson’sRule：Simpson法则逼近法bytheTrapezoidalRule：梯形法则逼近法Arbitraryconstant：任意常数Arclength：弧长Area：面积?underacurve：曲线下方之面积slant集合元素子集空集并集交集差集补集直积directproduct笛卡儿积Cartesianproduct开区间openinterval闭区间closedinterval半开区间halfopeninterval有限区间finiteinterval区间的长度lengthofaninterval无限区间infiniteinterval领域neighborhood领域的中心centreofaneighborhood领域的半径radiusofaneighborhood左领域leftneighborhood右领域rightneighborhood映射mappingX到Y的映射mappingofXontoY满射surjection单射injection一一映射one-to-onemapping双射bijection算子operator变化transformation函数function值域上界下界有界无界单调减少的decreasing单调函数monotonefunction函数的奇偶性parity(odevity)ofafunction 对称symmetry偶函数evenfunction奇函数oddfunction函数的周期性periodicityofafunction周期period反函数inversefunction直接函数directfunction复合函数compositefunction中间变量intermediatevariable函数的运算operationoffunction基本初等函数basicelementaryfunction初等函数elementaryfunction幂函数powerfunction指数函数exponentialfunction对数函数logarithmicfunction三角函数trigonometricfunction反三角函数inversetrigonometricfunction常数函数constantfunction双曲函数hyperbolicfunction极限数列收敛发散子列高阶无穷小infinitesimalofhigherorder低阶无穷小infinitesimaloflowerorder同阶无穷小infinitesimalofthesameorder作者：新少年特工2007-10-818:37回复此发言-------------------------------------------------------------------------------- 2高等数学-翻译等阶无穷小equivalentinfinitesimal函数的连续性continuityofafunction增量increment函数在x0连续thefunctioniscontinuousatx0左连续leftcontinuous右连续rightcontinuous区间上的连续函数continuousfunction函数在该区间上连续functioniscontinuousonaninterval 不连续点discontinuitypoint第一类间断点discontinuitypointofthefirstkind第二类间断点discontinuitypointofthesecondkind初等函数的连续性continuityoftheelementaryfunctions 定义区间definedinterval最大值globalmaximumvalue(absolutemaximum)最小值globalminimumvalue(absoluteminimum)零点定理thezeropointtheorem速度切线导数可导显函数explicitfunction二阶函数secondderivative三阶导数thirdderivative高阶导数nthderivative莱布尼茨公式Leibnizformula对数求导法log-derivative参数方程parametricequation相关变化率correlativechangerata微分differential可微的differentiable函数的微分differentialoffunction自变量的微分differentialofindependentvariable微商differentialquotient间接测量误差indirectmeasurementerror绝对误差absoluteerror相对误差relativeerror第三章微分中值定理与导数的应用Chapter3MeanValueTheoremofDifferentialsandtheApplicationofDerivatives 罗马定理Rolle’stheorem费马引理Fermat’slemma拉格朗日中值定理Lagrange’smeanvaluetheorem驻点stationarypoint0/0余项拐点曲率弧微分arcdifferential平均曲率averagecurvature曲率园circleofcurvature曲率中心centerofcurvature曲率半径radiusofcurvature渐屈线evolute渐伸线involute根的隔离isolationofroot隔离区间isolationinterval切线法tangentlinemethod第四章不定积分Chapter4IndefiniteIntegrals原函数primitivefunction(antiderivative)积分号signofintegration被积函数integrand积分变量integralvariable积分曲线integralcurve积分表tableofintegrals换元积分法integrationbysubstitution分部积分法integrationbyparts分部积分公式formulaofintegrationbyparts有理函数rationalfunction曲边分割可积无界函数的反常积分improperintegralofunboundedfunctions 绝对收敛absolutelyconvergent第六章定积分的应用Chapter6ApplicationsoftheDefiniteIntegrals元素法theelementmethod面积元素elementofarea平面图形的面积areaofaluanefigure直角坐标又称“笛卡儿坐标(Cartesiancoordinates)”极坐标polarcoordinates抛物线parabola椭圆ellipse旋转体的面积volumeofasolidofrotation旋转椭球体ellipsoidofrevolution,ellipsoidofrotation 曲线的弧长arclengthofacurve可求长的rectifiable光滑smooth功work水压力waterpressure引力gravitation变力variableforce第七章空间解析几何与向量代数Chapter7SpaceAnalyticGeometryandVectorAlgebra 向量相等平行差卦限向量a球面旋转曲面surfaceofrevolution母线generatingline轴axis圆锥面cone顶点vertex旋转单叶双曲面revolutionhyperboloidsofonesheet旋转双叶双曲面revolutionhyperboloidsoftwosheets 柱面cylindricalsurface,cylinder圆柱面cylindricalsurface准线directrix抛物柱面paraboliccylinder二次曲面quadricsurface椭圆锥面dllipticcone椭球面ellipsoid单叶双曲面hyperboloidofonesheet双叶双曲面hyperboloidoftwosheets旋转椭球面ellipsoidofrevolution椭圆抛物面ellipticparaboloid旋转抛物面paraboloidofrevolution双曲抛物面hyperbolicparaboloid马鞍面saddlesurface椭圆柱面ellipticcylinder螺矩投影垂直系数行列式coefficientdeterminant第八章多元函数微分法及其应用Chapter8DifferentiationofFunctionsofSeveralVariablesandItsApplication 一元函数functionofonevariable多元函数functionofseveralvariables内点interiorpoint外点exteriorpoint边界点frontierpoint,boundarypoint聚点pointofaccumulation开集openset闭集closedset连通集connectedset开区域openregion闭区域closedregion有界集boundedset无界集unboundedsetn维空间n-dimentionalspace二重极限doublelimit多元函数的连续性continuityoffunctionofseveal连续函数continuousfunction不连续点discontinuitypoint一致连续uniformlycontinuous法线梯度梯度场gradientfield向量场vectorfield势场potentialfield引力场gravitationalfield引力势gravitationalpotential曲面在一点的切平面tangentplanetoasurfaceatapoint 曲线在一点的法线normallinetoasurfaceatapoint无条件极值unconditionalextremevalues条件极值conditionalextremevalues拉格朗日乘数法Lagrangemultipliermethod拉格朗日乘子Lagrangemultiplier经验公式empiricalformula最小二乘法methodofleastsquares均方误差meansquareerror第九章重积分Chapter9MultipleIntegrals二重积分doubleintegral可加性additivity累次积分iteratedintegral体积元素volumeelement三重积分tripleintegral直角坐标系中的体积元素volumeelementinrectangularcoordinatesystem质心静矩密度形心对坐标的曲面积分surfaceintegralswithrespecttocoordinateelements第二类曲面积分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Green’sfirstformula通量flux散度divergence斯托克斯公式Stokesformula环流量circulation旋度rotation,curl第十一章无穷级数Chapter11InfiniteSeries一般项generalterm部分和partialsum余项remainderterm等比级数geometricseries几何级数geometricseries公比commonratio调和级数harmonicseries柯西收敛准则Cauchyconvergencecriteria,Cauchycriteriaforconvergence 正项级数seriesofpositiveterms振幅角频率angularfrequency初相initialphase矩形波squarewave谐波分析harmonicanalysis直流分量directcomponent基波fundamentalwave二次谐波secondharmonic三角函数系trigonometricfunctionsystem傅立叶系数Fouriercoefficient傅立叶级数Forrierseries周期延拓periodicprolongation正弦级数sineseries余弦级数cosineseries奇延拓oddprolongation偶延拓evenprolongation傅立叶级数的复数形式complexformofFourierseries第十二章微分方程Chapter12DifferentialEquation解微分方程solveadirrerentialequation常微分方程ordinarydifferentialequation偏微分方程partialdifferentialequation,PDE微分方程的阶orderofadifferentialequation衰变自由振动的微分方程differentialequationoffreevibration强迫振动的微分方程differentialequationofforcedoscillation串联电路的振荡方程oscillationequationofseriescircuit二阶线性微分方程secondorderlineradifferentialequation线性相关linearlydependence线性无关linearlyindependce二阶常系数齐次线性微分方程secondorderhomogeneourlineardifferentialequationwithconstantcoefficient二阶变系数齐次线性微分方程secondorderhomogeneouslineardifferentialequationwithvariablecoefficient特征方程characteristicequation无阻尼自由振动的微分方程differentialequationoffreevibrationwithzerodamping 固有频率naturalfrequency简谐振动simpleharmonicoscillation,simpleharmonicvibration微分算子differentialoperator待定系数法methodofundeterminedcoefficient共振现象resonancephenomenon欧拉方程Eulerequation幂级数解法powerseriessolution数值解法numerialsolution勒让德方程Legendreequation微分方程组systemofdifferentialequationsV、X、Z:Value?of?function?：函数值Variable?：变数Vector?：向量Velocity?：速度Vertical?asymptote?：垂直渐近线Volume?：体积X-axis?：x轴x-coordinate?：x坐标x-intercept?：x截距Zero?vector?：函数的零点T:S:Set?：集合Shell?method?：剥壳法Sine?function?：正弦函数Singularity?：奇点Slant?asymptote?：斜渐近线Slope?：斜率Slope-intercept?equation?of?a?line?：直线的斜截式Smooth?curve?：平滑曲线Smooth?surface?：平滑曲面Solid?of?revolution?：旋转体Space?：空间Speed?：速率Spherical?coordinates?：球面坐标Squeeze?Theorem?：夹挤定理Step?function?：阶梯函数Strictly?decreasing?：严格递减Strictly?increasing?：严格递增Sum?：和Surface?：曲面Surface?integral?：面积分Surface?of?revolution?：旋转曲面Symmetry?：对称R:Root?P、Q:Parabolic?cylinder?：抛物柱面Paraboloid?：抛物面Parallelepiped?：平行六面体Parallel?lines?：并行线Parameter?：参数Partial?derivative?：偏导数Partial?differential?equation?：偏微分方程Partial?fractions?：部分分式Partial?integration?：部分积分Partiton?：分割Period?：周期Periodic?function?：周期函数Perpendicular?lines?：垂直线Piecewise?defined?function?：分段定义函数Plane?：平面Point?of?inflection?：反曲点Polar?axis?：极轴Polar?coordinate?：极坐标Polar?equation?：极方程式Pole?：极点Polynomial?：多项式Positive?angle?：正角M、NOrdinary?differential?equation?：常微分方程Origin?：原点Orthogonal?：正交的L:Laplace?transform?：Leplace?变换Law?of?Cosines?：余弦定理Least?upper?bound?：最小上界Left-hand?derivative?：左导数Left-hand?limit?：左极限Lemniscate?：双钮线Length?：长度Level?curve?：等高线L'Hospital's?rule?：?洛必达法则Limacon?：蚶线Limit?：极限Linear?approximation：线性近似Linear?equation?：线性方程式Linear?function?：线性函数Linearity?：线性Linearization?：线性化I:Integral?：积分Integrand?：被积分式Integration?：积分Integration?by?part?：分部积分法Intercepts?：截距Intermediate?value?of?Theorem?：中间值定理Interval?：区间Inverse?function?：反函数Inverse?trigonometric?function?：反三角函数Iterated?integral?：逐次积分H:Higher?mathematics?高等数学/高数E、F、G、H:Ellipse?：椭圆Ellipsoid?：椭圆体Epicycloid?：外摆线Equation?：方程式Even?function?：偶函数D:Decreasing?function?：递减函数Decreasing?sequence?：递减数列Definite?integral?：定积分Degree?of?a?polynomial?：多项式之次数Density?：密度Derivative?：导数??of?a?composite?function?：复合函数之导数??of?a?constant?function?：常数函数之导数??directional?：方向导数??domain?of?：导数之定义域??of?exponential?function?：指数函数之导数??higher?：高阶导数??partial?：偏导数??of?a?power?function?：幂函数之导数??of?a?power?series?：羃级数之导数??of?a?product?：积之导数??of?a?quotient?：商之导数??as?a?rate?of?change?：导数当作变率??right-hand?：右导数??second?：二阶导数C:??integral?：积分学Cartesian?coordinates?：笛卡儿坐标一般指直角坐标Cartesian?coordinates?system?：笛卡儿坐标系Cauch’s?Mean?Value?Theorem?：柯西均值定理Chain?Rule?：连锁律Change?of?variables?：变数变换Circle?：圆Circular?cylinder?：圆柱Closed?interval?：封闭区间Coefficient?：系数Composition?of?function?：函数之合成Compound?interest?：复利Concavity?：凹性Conchoid?：蚌线Cone?：圆锥Constant?function?：常数函数Constant?of?integration?：积分常数Continuity?：连续性??at?a?point?：在一点处之连续性??of?a?function?：函数之连续性??on?an?interval?：在区间之连续性??from?the?left?：左连续A、Absolute?extreme?values?：绝对极值Absolute?maximum?and?minimum?：绝对极大与极小Absolute?value?：绝对值Absolute?value?function?：绝对值函数Acceleration?：加速度Antiderivative?：反导数Approximate?integration?：近似积分Approximation?：逼近法??by?differentials?：用微分逼近??linear?：线性逼近法??by?Simpson’s?Rule?：Simpson法则逼近法??by?the?Trapezoidal?Rule?：梯形法则逼近法Arbitrary?constant?：任意常数Arc?length?：弧长Area?：面积??under?a?curve?：曲线下方之面积??between?curves?：曲线间之面积??in?polar?coordinates?：极坐标表示之面积??of?a?sector?of?a?circle?：扇形之面积??of?a?surface?of?a?revolution?：旋转曲面之面积Asymptote?：渐近线??horizontal?：水平渐近线basecalculus微积分学closedintervalintegral闭区间积分coefficient系数compositefunction复合函数conchoid蚌线continuity(函数的)连续性concavity(函数的)凹凸性conditionallyconvergent有条件收敛?continuity连续性criticalpoint临界点cubicfunction三次函数cylindricalcoordinates圆柱坐标decreasingfunction递减函数decreasingsequence递减数列definiteintegral定积分derivative导数determinant行列式differentialcoefficient微分系数differentialequation微分方程directionalderivative方向导数discontinuity不连续性discriminant(二次函数)判别式ellipsehelixhyperbola双曲线hyperboloid双曲面implicitdifferentiation隐函数求导implicitfunction隐函数improperintegral广义积分、瑕积分increment增量increasingfunction增函数indefiniteintegral不定积分independentvariable自变数inequality不等式ndeterminateform不定型infinitepoint无穷极限infiniteseries无穷级数infiniteseries无限级数inflectionpoint(POI)拐点initialcondition初始条件instantaneousrateofchange瞬时变化率integrable可积的integral积分integrand被积分式integration积分integrationbypart分部积分法modulus绝对值multipleintegral多重积分multiple倍数multiplier乘子octant卦限openintervalintegral开区间积分optimization优化法，极值法origin原点orthogonal正交parametricequation(BC)参数方程partialderivative偏导数partialdifferentialequation偏微分方程partialfractions部分分式piece-wisefunction分段函数parabola抛物线paraboliccylinder抛物柱面paraboloid：抛物面parallelepiped平行六面体parallellines并行线parameter：参数partialintegration部分积分partiton：分割periodplanepoleradicalrangeRiemanniangeometry黎曼几何right-handlimit右极限Rolle'stheorem罗尔(中值)定理root根rotation旋转secantline割线secondderivative二阶导数secondderivativetest二阶导数试验法secondpartialderivative二阶偏导数series级数shellmethod(积分)圆筒法sinefunction正弦函数singularity奇点slant母线slantasymptote斜渐近线slope斜率slope-interceptequationofaline直线的斜截式smoothcurve平滑曲线smoothsurface平滑曲面solidofrevolution旋转体symmetry对称性substitution代入法、变量代换?。