数学英语词汇(微积分)

微积分——Differential and integral calculus第一章函数——Chapter 1. Function邻域 Neighborhoodneighborhood开邻域 Open函数 Functionfunction；One-valued function；Monotropic function；单值函数 Monodromefunction；Many-value function；Multivalued function多值函数 Multiform分段 Piecewisefunction分段函数 Piecewisefunction显函数 Explicit定义域Domain of definition复合 Composition；function复合函数 Composite反函数 Inversefunction单调 Monotone单调性 Monotonicity单调序列 Monotonesequence单调数列Monotone sequence of numbersfunction单调函数 Monotonicincreasing；Monotonic increasing单调增加 Monotone单调增加函数Monotonically increasing functiondecreasing；Monotonic decreasing单调减少 Monotone单调减少函数Monotonically decreasing functionmonotone严格单调 Strictly严格单调递减Strictly monotone decreasing严格单调递增Strictly monotone increasing有界的 Boundedbound上界 Upperbound下界 Lower上有界的 Boundedabovebelow下有界的 Bounded上确界 Supremumlowerbound下确界 Greatestvariable有界变量 Bounded奇偶性 Odevityfunction偶函数 Even奇函数 Oddfunctionfunction狄利克雷函数 Dirichlet’sfunction初等函数 Elementary基本函数 Fundamentalfunctionfunction基本初等函数 Fundamentalelementary指数 Exponentfunction指数函数 Exponential对数 Logarithmfunction对数函数 Logarithmfunctioncircular反三角函数 Inverse第二章极限与连续——Chapter 2. Limit and continuity序列 Sequencenumbersof数列 Sequence极限 Limit单侧 One-sided单侧极限 One-sidedlimit；Unilateral limitlimit左极限 Left收敛 Converge收敛性 Convergence发散 Diverge趋于零 Vanishingquantity无穷小量 Infinitelysmall无穷小的阶Order of infinitesimaldivisor零因子 Null无穷大量Infinitely large quantityinfinity正无穷大 Plusinfinity负无穷大 Minuslimit无穷极限 Infinite无穷大的阶Order of infinity单调收敛定理Monotone convergence theorem复利 Compoundinterest连续性 Continuity；Property of continuitycontinuous；Continuity from the left左连续 Leftcontinuous；Continuity from the right右连续 Rightpoint连续点 Continuitypoint不连续点 Discontinuitydiscontinuityof间断点 Point第一类不连续点Discontinuity point of the first kind第二类不连续点Discontinuity point of the second kinddiscontinuity可去间断点 Removablepoint；Moving singularitysingular可去奇点 Movablediscontinuity无穷间断点 Infinitediscontinuity跳跃间断点 Jumpvalue最大值 Greatesttheoremvalue介值定理 Intermediatepoint零点 Null第三章导数与微分——Chapter 3. Derivative and differential瞬时 Instantaneousspeed瞬时速度 Instantaneous导数 Derivativederivative单侧导数 One-sidedderivative；Derivative on the left左导数 Leftderivative；Derivative on the right；Progressive derivative右导数 Rightrule链式法则 Chain尖点 Cusp曲线的尖点Cusp of a curveorder高阶 Higherderivative；Higher derivative高阶导数 Higher-order微分 Differential可微的 Differentiablefunction不可微函数 Non-differentiableoperation微分运算 Differential求微分 Differentiatecoefficient微商 Differentialdifferential；Higher differential；Differentials of higher order 高阶微分 Higher-orderderivative相对导数 Relative弹性 Elasticity；Resilience第四章微分中值定理与导数应用——Chapter 4. differential mid-value theorem and application of derivative 中值 Mid-valuetheorem罗尔定理 Rolle’s未定式 Indeterminateformvalue；Extremal极值 Extreme极值点 Extremepointmaximum局部极大值 Localminimum局部极小值 Local凹 Concave凸 Convexpoint；knee拐点 Inflection渐近线 Asymptote；Asymptotic lineasymptote水平渐近线 Horizontalasymptote铅垂渐近线 Vertical第五章不定积分——Chapter 5. Indefinite integralfunction原函数 Primary积分 Integralintegral不定积分 Indefinite求积分 Quadrature可积的 Integrable曲线簇Family of curve积分法 Integration代换 Substitution换元积分法Integration by substitution分部积分法Integration by parts部分分式积分法Integration by partial fraction部分分式展开Partial fraction expansion第六章定积分——Chapter 6. Definite integralintegral定积分 Definite积分中值Integral mean value牛顿-莱布尼兹公式 Newton-Leibniz’sformulaofrotation旋转体 Bodyintegral广义积分 ImproperfunctionΓ函数 Gamma第七章级数——Chapter 7. Series级数 Seriesseries无穷级数 Infinite级数的项Term of a series部分和 Partialsumseries发散级数 Divergentseries振荡级数 Oscillatory几何级数 Geometricseries；Geometrical seriesseries正项级数 Positivetermseries调和级数 Harmoniccriterion达朗贝尔准则 D’Alembert’s绝对收敛 Absolutelyconvergent绝对收敛级数Absolutely convergent seriesconvergent条件收敛 Conditional条件收敛级数Conditional convergent series函数级数Series of functionsseries幂级数 Powerradius收敛半径 Convergencedomain；Region of convergence收敛域 Convergenceconvergence收敛区间 Intervalof逐项微分Term by term differentiationexpansion级数展开 Series幂级数展开Power series expansion；Expansion into power-seriesseries泰勒级数 Taylorformula泰勒公式 Taylor’sseries马克劳林级数 Maclaurin第八章多元函数微分学——Chapter 8. Differential for function of many variables 有界区域 Boundedregionregion开区域 Openregion连通区域 Connect不连通的 Disconnectedpoint；Interior point内点 Innerpoint外点 Outerpoint边界点 Frontiersurface柱面 Cylindrical母线 Generator柱的母线Element of cylinder；Generator of cylinder椭球 Ellipsoidcylinder椭圆柱面 Ellipticcylinder抛物柱面 Parabolic双曲面 Hyperboloid单叶双曲面Hyperboloid of one sheet双叶双曲面Hyperboloid of two sheets鞍点 Saddle齐次 Homogeneousfunction齐次函数 Homogeneouslimit；Two-limit二重极限 Double多重极限 Multiplelimitslimitn重极限 n-foldlimits累次极限 Repeatedderivative偏导数 Partialdifferential偏微分 Partialdifferential；Total differentiation全微分 Total高阶偏导数Higher-order partial derivative混合偏导数Mixed partial derivativecondition约束条件 Constraintequation拉格朗日方程 Lagrange拉格朗日乘数 Lagrangemultiplier第九章二重积分——Chapter 9. Double integral积分区域Domain of integrationelement；Differential of area面积元素 Areaintegral二重积分 Doubleintegral多重积分 Multipleintegral；Repeated integral累次积分 Iterated雅可比行列式 Jacobian广义二重积分 Improperintegraldouble第十章微分方程——Chapter 10. Differential equationequation微分方程 Differential常微分 Ordinarydifferentialequationdifferential常微分方程 Ordinary偏微分方程Partial differential equation微分方程的阶Order of a differential equation一阶微分方程Differential equation of first orderequationdifferential线性微分方程 Linearcondition初始条件 Initialvalue；Original value；Starting value初始值 Initialsolution特解 Particularequation齐次方程 Homogeneousequation 齐次微分方程 Homogeneousdifferential齐次线性微分方程Homogeneous linear differential equation非齐次的 Non-homogeneousequation非齐次微分方程 Non-homogeneousdifferential非齐次线性微分方程Non-homogeneous linear differential equation非线性的 Nonlinearequation非线性方程 Nonlinear常数变异法Method of variation of constantsequation；Differential equation of higher orderdifferential高阶微分方程 Higher-order高阶常微分方程Higher-order ordinary differential equation高阶偏微分方程Higher-order partial differential equationequation特征方程 Characteristicroot特征根 Characteristicequationintegral微分积分方程 Differention第十一章差分方程——Chapter 11. Difference equation差、差分 Differencedifference高阶差分 Higherequation差分方程 Difference。