最新数学英语专有名词

数学英语术语英文中关于数学的术语一直伴随着学习者们的学习历程，为了帮助大家更好地理解和运用这些数学术语，本文将从基础概念开始，逐步介绍数学中的各种术语，并提供相关实例来加深理解。

一、基础概念1.数（n u m b e r）：数学的基本单位，用于计数和量度。

数可以是整数、分数、小数或虚数。

2.数字（d i g i t）：表示数值的符号，包括0-9这10个基本数字，通过组合可以形成无限的数。

3.数量（q u a n t i t y）：表示大小和数量的概念，可以表示具体或抽象的实体。

4.计算（c a l c u l a t e）：进行数学运算，包括加法、减法、乘法和除法等。

二、基本运算1.加法（a d d i t i o n）：将两个或多个数相加得到总和。

例如：2+3=52.减法（s u b t r a c t i o n）：从一个数中减去另一个数，得到差值。

例如：5-3=23.乘法（m u l t i p l i c a t i o n）：将两个或多个数相乘得到积。

例如：2×3=64.除法（d i v i s i o n）：将一个数分割成若干等份或将一个数除以另一个数，得到商或分数。

例如：6÷2=3三、数学行为和性质1.绝对值（a b s o l u t e v a l u e）：一个数和零之间的距离，始终是正数或零。

例如：|5|=5，|-5|=52.相反数（o p p o s i t e）：与一个数值大小相等，但符号相反的数。

例如：-3和3是互为相反数。

3.倍数（m u l t i p l e）：一个数可以被另一个整数整除的数。

例如：12是6的倍数，因为12÷6=2。

4.因数（f a c t o r）：能够整除给定数的所有整数。

例如：2和3是6的因数，因为6÷2 =3，6÷3=2。

5.比例（r a t i o）：表示两个数或量之间的关系。

例如：2:3表示其中一个数是另一个数的2/3。

高等数学(Higher Mathematics)一些基本名词中英文对照表中文英文中文英文counterclockwise 函数function 逆时针方向定义域domain of definition 变量variable值域range of function 常量constant quantity 极限limit 坐标轴axis of coordinates 极限值limit value 横坐标abscissa发散diverge 纵坐标ordinate收敛converge 锐角acute angle连续性continuity 钝角obtuse angle连续函数continuous function 平角straight angle左连续continuity from the left 直角right angle开集open set 圆circle闭集closed set 半径radius闭区间closed interval 直径diameter区间interval 三角形triangle一元函数function of one variable 斜率slope多元函数function of several variables 无穷小infinitesimal内点inner point 无穷大infinite孤立点isolated point 正positive邻域neighborhood 负negative导数derivative 凸convex偏导数partial derivative 凹concave微分differential calculus 椭圆ellipse全微分total differential 双曲线hyperbola偏微分partial differential 曲线curve积分integral 曲面surface微积分infinitesimal calculus 交intersection重积分multiple integral 补集complement二重积分double integral 投影project三重积分threefold integral 等差级数arithmetical progression 中值定理law of the mean 几何级数geometric progression 极值extreme values 公理axioms定积分definite integral 定义definition不定积分indefinite integral 定理theorem曲线积分curvilinear integral 集合set曲面积分surface integral 元素element级数progression,series 空集empty数列sequence 子集subset微分方程differential equation 相等equalordinary differential equation 常数constant常微分方程partial differential equation 对数logarithm偏微分方程差分方程difference equation 指数exponential特征方程characteristic equation 曲率curvature间断点discontinuity point 曲率圆circle of curvature渐近线asymptote 曲率半径radius of curvature切线tangent line 切平面tangent plane切线方程tangential equation 幂级数power series拐点point of inflexion 收敛半径convergence radius绝对收敛absolutely convergence 收敛区间convergence interval条件收敛conditional convergence 收敛区域convergence region和函数sum function 通解general solution解solution 特解special solution初始条件initial condition 阶order条件极值conditional extremum 常数项级constant series数必要条件necessary condition 正项级数positive series充分条件sufficient condition 交错级数alternate series convergence criterion 一般级数ordinary series 收敛判别法comparison criterion比较判别法《线性代数》英文专业词汇英文中文Linear Algebra 线性代数determinant 行列式row 行column 列element 元素diagonal 对角线principal diagona 主对角线auxiliary diagonal 次对角线transposed determinant 转置行列式triangular determinants 三角行列式interchange 互换absolute value 绝对值identity 恒等式n-order determinants n阶行列式evaluation of determinant 行列式的求值Algebra cofactor 代数余子式the Vandermonde determinant 范德蒙行列式method of Recursion relation 递推法induction 归纳法Cramer´s rule 克莱姆法则matrix 矩阵the zero matrix 零矩阵the identity matrix 单位矩阵symmetric 对称的英文中文skew-symmetric 反对称的commutative law 交换律square Matrix 方阵a matrix of order m×n矩阵m×nthe determinant of matrix A 方阵A的行列式operations on Matrices 矩阵的运算a transposed matrix 转置矩阵an inverse matrix 逆矩阵an diagonal matrix 对角矩阵an adjoint matrix 伴随矩阵singular matrix 奇异矩阵nonsingular matrix 非奇异矩阵elementary transformations 初等变换vectors 向量components 分量linearly combination 线性组合space of arithmetical vectors 向量空间subspace 子空间dimension 维basis 基transformation matrix 过渡矩阵linearly independent 线性无关linearly dependent 线性相关the minor of the k th order k阶子式rank of a Matrix 矩阵的秩row vectors 行向量column vectors 列向量the maximal linearly independent subsystem 最大线性无关组Euclidean space 欧几里德空间Unitary space 酉空间英文中文systems of linear equations 线性方程组elimination method 消元法homogenous 齐次的nonhomogenous 非齐次的equivalent 等价的necessary and sufficient condition 充要条件incompatiable 无解的unique solution 唯一解the matrix of the coefficients 系数矩阵general solution 通解particular solution 特解trivial solution 零解nontrivial solution 非零解the fundamental system of solutions 基础解系eigenvalue 特征值eigenvector 特征向量characteristic polynomial 特征多项式characteristic equation 特征方程normed vector 单位向量orthogonal 正交的orthogonalization 正交化the Gram-Schmidt process 正交化过程reducing a matrix to the diagonal form 对角化矩阵orthonormal basis 标准正交基orthogonal transformation 正交变换linear transformation 线性变换quadratic forms 二次型canonical form 标准型the canonical form of a quadratic form 二次型的标准型the second-order curve 二次曲线coordinate transformation 坐标变换。

代数部分1。

有关基本运算：add, plus加subtract减difference差multiply，times乘product积divide除divisible可被整除的divided evenly被整除dividend被除数divisor因子，除数quotient商remainder余数factorial阶乘power乘方radical sign，root sign根号round to四舍五入to the nearest四舍五入2。

有关集合union并集proper subset真子集solution set解集3。

有关代数式、方程和不等式algebraic term代数项like terms，similar terms同类项numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程等价方程linear equation线性方程（e.g.5 x +6=22) 4。

有关分数和小数proper fraction真分数improper fraction假分数mixed number带分数vulgar fraction, common fraction普通分数simple fraction简分数complex fraction繁分数numerator分子denominator分母（least)common denominator(最小）公分母quarter四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenths unit十分位5。

基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数,幂base乘幂的底数，底边cube立方数，立方体square root平方根cube root立方根common logarithm常用对数digit数字constant常数variable变量inverse function反函数complementary function余函数linear一次的，线性的factorization因式分解absolute value绝对值，e.g。

初中数学英语专业术语（）初中数学词汇数学 mathematics, maths(BrE), math(AmE)公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设hypothesis, hypotheses(pl.)命题 proposition算术 arithmetic加plus(prep.), add(v.), addition(n.)被加数 augend, summand加数 addend和 sum减 minus(prep.), subtract(v.), subtraction(n.)被减数 minuend减数 subtrahend差 remainder 乘times(prep.), multiply(v.), multiplication(n.) 被乘数 multiplicand, faciend乘数 multiplicator积 product除divided by(prep.), divide(v.), division(n.)被除数 dividend除数 divisor商 quotient等于 equals, is equal to, is equivalent to大于 is greater than小于 is lesser than大于等于 is equal or greater than小于等于is equal or lesser than运算符 operator数字 digit数 number自然数 natural number整数 integer小数 decimal小数点 decimal point分数 fraction分子 numerator分母 denominator比 ratio正 positive负 negative零 null, zero, nought, nil十进制 decimal system二进制 binary system十六进制 hexadecimal system 权 weight, significance 进位 carry截尾 truncation四舍五入 round下舍入 round down上舍入 round up有效数字 significant digit无效数字insignificant digit代数 algebra公式 formula, formulae(pl.) 单项式 monomial多项式polynomial, multinomial系数 coefficient未知数unknown, x-factor, y-factor, z-factor等式，方程式 equation一次方程 simple equation二次方程 quadratic equation 三次方程 cubic equation四次方程 quartic equation不等式 inequation阶乘 factorial对数 logarithm指数，幂 exponent乘方 power二次方，平方 square三次方，立方 cube四次方 the power of four, the fourth powern次方 the power of n, the nth power开方 evolution, extraction 二次方根，平方根 square root 三次方根，立方根 cube root四次方根 the root of four, the fourth rootn次方根 the root of n, the nth root集合 aggregate元素 element空集 void子集 subset交集 intersection并集 union补集 complement映射 mapping函数 function定义域domain, field of definition值域 range常量 constant变量 variable单调性 monotonicity奇偶性 parity周期性 periodicity图象 image数列，级数 series微积分 calculus微分 differential 导数 derivative极限 limit无穷大infinite(a.) infinity(n.)无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral 有理数 rational number 无理数 irrational number实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem 钝角三角形 obtuse triangle 不等边三角形 scalene triangle 等腰三角形 isosceles triangle 等边三角形equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length 宽 width菱形rhomb, rhombus, rhombi(pl.), diamond正方形 square梯形 trapezoid直角梯形 right trapezoid等腰梯形 isosceles trapezoid 五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon 圆 circle圆心 centre(BrE), center(AmE) 半径 radius 直径 diameter圆周率 pi弧 arc半圆 semicircle扇形 sector环 ring椭圆 ellipse圆周 circumference周长 perimeter面积 area轨迹 locus, loca(pl.)相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体 parallelepiped 立方体 cube 七面体 heptahedron八面体 octahedron九面体 enneahedron十面体 decahedron十一面体 hendecahedron十二面体 dodecahedron二十面体 icosahedron多面体 polyhedron棱锥 pyramid棱柱 prism棱台 frustum of a prism 旋转 rotation 轴 axis 圆锥 cone圆柱 cylinder圆台 frustum of a cone球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space坐标系 coordinates坐标轴x-axis, y-axis, z-axis横坐标 x-coordinate纵坐标 y-coordinate原点 origin双曲线 hyperbola抛物线 parabola三角 trigonometry正弦 sine余弦 cosine正切 tangent余切 cotangent正割 secant余割 cosecant反正弦 arc sine反余弦 arc cosine反正切 arc tangent反余切 arc cotangent反正割 arc secant反余割 arc cosecant相位 phase周期 period振幅 amplitude内心incentre(BrE), incenter(AmE)外心excentre(BrE), excenter(AmE)旁心escentre(BrE), escenter(AmE)垂心orthocentre(BrE), orthocenter(AmE)重心barycentre(BrE), barycenter(AmE)内切圆 inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数weighted average 方差variance 标准差root-mean-square deviation, standard deviation比例 propotion百分比 percent百分点 percentage百分位数 percentile排列 permutation组合 combination概率，或然率 probability分布 distribution正态分布 normal distribution非正态分布abnormal distribution图表 graph条形统计图 bar graph柱形统计图 histogram折线统计图 broken line graph曲线统计图 curve diagram扇形统计图 pie diagram数学公式的英文读法&数学英文词汇1.Logicthereexistfor allp?q p implies q / if p, then qp?q p if and only if q /p is equivalent to q / p and q are equivalent2.Setsx∈ A x belongs to A / x is an element (or a m ember) of Ax?A x does not belong to A / x is not an element (or a member) of AA?B A is contained in B / A is a subset of BA? B A contains B / B is a subset of A A∩B A cap B / A meet B / A intersection B A∪B A cup B / A join B / A union BA\\B A minus B / the diference between A and B A×B A crossB / the cartesian product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1x plus or minus onexy xy / x multiplied by y(x - y)(x + y) x minus y, x plus yx y x over y = the equals signx = 5 x equals 5 / x is equal to 5x≠5x (is)not equal to 5x≡y x is equivalent to (or identical with) yx ≡ y x is not equivalent to (or identical with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is less than yx≤y x is less than or e qual to y0 < x <1 zero is less than x is less than 10≤x≤1zer o is less than or equal to x is less than or equal to 1| x | mod x / modulus xx 2 x squared / x (raised) to the power 2x 3 x cubed x 4 x to the fourth / x to the power four x n x to the nth / x to the power nx ?n x to the (power) minus nx (square) root x / the square root of x x 3 cube root (of) x x 4 fourth root (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ˉx barx ?x tildex i xi / x subscript i / x suffix i / x sub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i4. Linear algebra‖ x ‖the norm (or modulus) of xOA →OA / vector OAOA ˉOA / the length of the segment OA A T A transpose / the transpose of A A ?1 A inverse / the inverse of A5.Functionsf( x ) fx / f of x / the function f of x f:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f prime x / f dash x / the (first) derivative of f with respect to xf''( x ) f double-prime x / f double-dash x / the second derivative of f with respect to xf'''( x ) t riple-prime x / f triple-dash x / the third derivative of f with respect to xf (4) ( x ) f four x / the fourth derivative of f with respect to xf ? x 1 the partial (derivative) of f with respect to x12 f ?x 12 the second partial (derivative) of f with respect to x1∫ 0 ∞the integral from zero to infinity lim?x→0the limit as x approaches zerolim?x→ 0 + the limit as x approaches zero from above lim?x→ 0 ?the limit as x approaches zero from below log e y log y to the base e / log to the base e of y / natural log (of) yln?y log y to the base e / log to the base e of y / natural log (of) y一般词汇数学mathematics, maths(BrE), math(AmE)公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设hypothesis, hypotheses(pl.)命题 proposition算术 arithmetic加 plus(prep.), add(v.), addition(n.)被加数 augend, summand加数 addend和 sum减minus(prep.), subtract(v.), subtraction(n.) 被减数 minuend 减数 subtrahend差 remainder乘times(prep.), multiply(v.), multiplication(n.)被乘数multiplicand, faciend乘数 multiplicator积 product除divided by(prep.), divide(v.), division(n.)被除数 dividend除数 divisor商 quotient等于 equals, is equal to, is equivalent to大于 is greater than小于 is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符 operator数字 digit数 number自然数 natural number整数 integer小数 decimal小数点 decimal point分数 fraction分子 numerator分母 denominator比 ratio正 positive负 negative零 null, zero, nought, nil十进制 decimal system二进制 binary system十六进制hexadecimal system权 weight, significance进位 carry截尾 truncation四舍五入 round下舍入 round down上舍入 round up有效数字significant digit无效数字 insignificant digit代数 algebra公式formula, formulae(pl.)单项式 monomial多项式polynomial, multinomial系数 coefficient未知数unknown,x-factor, y-factor, z-factor 等式，方程式 equation 一次方程simple equation二次方程quadratic equation三次方程 cubic equation四次方程quartic equation不等式 inequation阶乘 factorial对数 logarithm指数，幂 exponent乘方 power二次方，平方 square三次方，立方 cube四次方 the power of four, the fourth power n次方 the power of n, the nth power开方evolution, extraction二次方根，平方根 square root三次方根，立方根 cube root四次方根the root of four, the fourth root n次方根 the root of n, the nth root集合 aggregate元素 element空集 void子集 subset交集 intersection并集 union补集 complement映射 mapping函数 function定义域 domain, field of definition值域 range常量 constant变量 variable单调性 monotonicity奇偶性 parity周期性 periodicity图象 image数列，级数 series微积分 calculus微分 differential导数 derivative极限 limit无穷大infinite(a.) infinity(n.) 无穷小 infinitesimal积分 integral定积分definite integral不定积分indefinite integral 有理数 rational number无理数irrational number实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle周角 perigon底 base边 side高 height三角形 triangle锐角三角形acute triangle直角三角形right triangle直角边 leg斜边 hypotenuse勾股定理Pythagorean theorem钝角三角形obtuse triangle不等边三角形scalene triangle等腰三角形isosceles triangle等边三角形 equilateral triangle四边形 quadrilateral平行四边形parallelogram矩形 rectangle长 length宽 width菱形rhomb, rhombus, rhombi(pl.), diamond 正方形 square梯形 trapezoid直角梯形right trapezoid等腰梯形isosceles trapezoid 五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon 圆 circle圆心centre(BrE), center(AmE) 半径 radius直径 diameter圆周率 pi弧 arc半圆semicircle扇形 sector环 ring椭圆 ellipse圆周 circumference周长 perimeter面积 area轨迹locus, loca(pl.)相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体parallelepiped 立方体 cube七面体 heptahedron八面体 octahedron九面体 enneahedron十面体 decahedron十一面体hendecahedron 十二面体dodecahedron 二十面体 icosahedron多面体 polyhedron棱锥 pyramid棱柱 prism棱台frustum of a prism 旋转 rotation轴 axis圆锥 cone圆柱 cylinder圆台frustum of a cone球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space坐标系 coordinates坐标轴x-axis, y-axis, z-axis 横坐标 x-coordinate纵坐标 y-coordinate原点 origin双曲线 hyperbola抛物线 parabola三角 trigonometry正弦 sine余弦 cosine正切 tangent余切 cotangent正割 secant余割 cosecant反正弦 arc sine反余弦 arc cosine反正切 arc tangent反余切 arc cotangent反正割 arc secant反余割 arc cosecant相位 phase周期 period振幅 amplitude内心incentre(BrE), incenter(AmE)外心excentre(BrE), excenter(AmE)旁心escentre(BrE), escenter(AmE)垂心 orthocentre(BrE), orthocenter(AmE)重心 barycentre(BrE), barycenter(AmE)内切圆inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数 weighted average方差 variance标准差root-mean-square deviation, standard deviation比例 propotion百分比 percent百分点 percentage百分位数 percentile排列 permutation组合 combination概率，或然率probability分布 distribution正态分布normal distribution非正态分布 abnormal distribution图表 graph条形统计图 bar graph柱形统计图 histogram折线统计图broken line graph曲线统计图curve diagram扇形统计图pie diagram专业术语词汇代数部分1.有关数学运算add，plus加subtract减difference差multiply,times乘product积divide除divisible可被整除的dividedevenly被整除dividend被除数，红利divisor因子，除数quotient商remainder余数factorial阶乘power乘方radicalsign,rootsign根号roundto四舍五入tothenearest四舍五入2.有关集合union并集proper subset真子集solution set解集3.有关代数式、方程和不等式algebraic term代数项like terms,similar terms同类项numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程，等价方程4.有关分数和小数proper fraction真分数improper fraction假分数mixed number带分数vulgar fraction，common fraction普通分数simple fraction简分数complex fraction繁分数numerator分子denominator分母(least)common denominator（最小）公分母quarter四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenthsunit十分位5.基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数，幂base乘幂的底数,底边cube立方数，立方体square root平方根cube root立方根common logarithm常用对数digit数字constant常数variable变量inversefunction反函数complementary function余函数linear 一次的，线性的factorization因式分解absolute value绝对值，e.g.｜-32｜=32round off四舍五入6.有关数论natural number自然数positive number正数negative number负数odd integer,odd number奇数even integer,even numbe偶数integer,whole number整数positive whole number正整数negative whole number负整数consecutive number连续整数real number,rational number实数,有理数irrational（number）无理数inverse倒数composite number合数 e.g.4,6,8,9,10,12,14,15…prime number质数e.g.2,3,5,7,11,13,15……注意：所有的质数(2除外)都是奇数，但奇数不一定是质数reciprocal倒数common divisor公约数multiple倍数(least)common multiple(最小)公倍数(prime)factor(质)因子common factor公因子ordinaryscale,decimalscale十进制nonnegative非负的tens十位units个位mode众数median中数common ratio公比7.数列arithmeticprogression(sequence)等差数列geometricprogression(sequence)等比数列8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数directproportion正比distinct不同的estimation估计，近似parentheses括号proportion 比例permutation排列combination组合table表格trigonometric function三角函数unit单位,位几何部分1.所有的角alternate angle内错角corresponding angle同位角vertical angle对顶角central angle圆心角interior angle内角exterior angle外角supplement aryangles补角complement aryangle余角adjacent angle邻角acute angle锐角obtuse angle钝角right angle直角。

数学专有名词英文词典Mathematics Glossary: A Comprehensive English Dictionary of Mathematical TermsIntroduction:Mathematics is a language of numbers, shapes, patterns, and relationships. It plays a crucial role in various fields, including science, engineering, economics, and finance. To effectively communicate and understand mathematical concepts, it is essential to have a solid grasp of mathematical vocabulary. This article aims to provide a comprehensive English dictionary of mathematical terms, allowing readers to enhance their mathematical knowledge and fluency.A1. Abacus: A counting device that uses beads or pebbles on rods to represent numbers.2. Absolute Value: The distance of a number from zero on a number line, always expressed as a positive value.3. Algorithm: A set of step-by-step instructions used to solve a particular problem or complete a specific task.4. Angle: The measure of the separation between two lines or surfaces, usually measured in degrees.5. Area: The measure of the amount of space inside a two-dimensional figure, expressed in square units.B1. Base: The number used as a repeated factor in exponential notation.2. Binomial: An algebraic expression with two unlike terms connected by an addition or subtraction sign.3. Boundary: The edge or perimeter of a geometric shape.4. Cartesian Coordinates: A system that uses two number lines, the x-axis and y-axis, to represent the position of a point in a plane.5. Commutative Property: The property that states the order of the terms does not affect the result of addition or multiplication.C1. Circle: A closed curve with all points equidistant from a fixed center point.2. Congruent: Two figures that have the same shape and size.3. Cube: A three-dimensional solid shape with six square faces of equal size.4. Cylinder: A three-dimensional figure with two circular bases and a curved surface connecting them.5. Decimal: A number written in the base-10 system, with a decimal point separating the whole number part from the fractional part.D1. Denominator: The bottom part of a fraction that represents the number of equal parts into which a whole is divided.2. Diameter: The distance across a circle, passing through the center, and equal to twice the radius.3. Differential Equation: An equation involving derivatives that describes the relationship between a function and its derivatives.4. Dividend: The number that is divided in a division operation.5. Domain: The set of all possible input values of a function.E1. Equation: A mathematical statement that asserts the equality of two expressions, usually containing an equal sign.2. Exponent: A number that indicates how many times a base number should be multiplied by itself.3. Expression: A mathematical phrase that combines numbers, variables, and mathematical operations.4. Exponential Growth: A pattern of growth where the quantity increases exponentially over time.5. Exterior Angle: The angle formed when a line intersects two parallel lines.F1. Factor: A number or expression that divides another number or expression without leaving a remainder.2. Fraction: A number that represents part of a whole, consisting of a numerator anda denominator.3. Function: A relation that assigns each element from one set (the domain) to a unique element in another set (the range).4. Fibonacci Sequence: A sequence of numbers where each number is the sum of the two preceding ones.5. Frustum: A three-dimensional solid shape obtained by slicing the top of a cone or pyramid.G1. Geometric Sequence: A sequence of numbers where each term is obtained by multiplying the previous term by a common ratio.2. Gradient: A measure of the steepness of a line or a function at a particular point.3. Greatest Common Divisor (GCD): The largest number that divides two or more numbers without leaving a remainder.4. Graph: A visual representation of a set of values, typically using axes and points or lines.5. Group: A set of elements with a binary operation that satisfies closure, associativity, identity, and inverse properties.H1. Hyperbola: A conic section curve with two branches, symmetric to each other, and asymptotic to two intersecting lines.2. Hypotenuse: The side opposite the right angle in a right triangle, always the longest side.3. Histogram: A graphical representation of data where the data is divided into intervals and the frequency of each interval is shown as a bar.4. Hexagon: A polygon with six sides and six angles.5. Hypothesis: A proposed explanation for a phenomenon, which is then tested through experimentation and analysis.I1. Identity: A mathematical statement that is always true, regardless of the values of the variables.2. Inequality: A mathematical statement that asserts a relationship between two expressions, using symbols such as < (less than) or > (greater than).3. Integer: A whole number, either positive, negative, or zero, without any fractional or decimal part.4. Intersect: The point or set of points where two or more lines, curves, or surfaces meet.5. Irrational Number: A real number that cannot be expressed as a fraction or a terminating or repeating decimal.J1. Joint Variation: A type of variation where a variable is directly or inversely proportional to the product of two or more other variables.2. Justify: To provide a logical or mathematical reason or explanation for a statement or conclusion.K1. Kernel: The set of all inputs that map to the zero element of a function, often used in linear algebra and abstract algebra.L1. Line Segment: A part of a line bounded by two distinct endpoints.2. Logarithm: The exponent or power to which a base number must be raised to obtain a given number.3. Limit: The value that a function or sequence approaches as the input or index approaches a particular value.4. Linear Equation: An equation of the form Ax + By = C, where A, B, and C are constants, and x and y are variables.5. Locus: The set of all points that satisfy a particular condition or criteria.M1. Median: The middle value in a set of data arranged in ascending or descending order.2. Mean: The average of a set of numbers, obtained by summing all the values and dividing by the total count.3. Mode: The value or values that appear most frequently in a data set.4. Matrix: A rectangular array of numbers, symbols, or expressions arranged in rows and columns.5. Midpoint: The point that divides a line segment into two equal halves.N1. Natural Numbers: The set of positive whole numbers, excluding zero.2. Negative: A number less than zero, often represented with a minus sign.3. Nonagon: A polygon with nine sides and nine angles.4. Null Set: A set that contains no elements, often represented by the symbol Ø or { }.5. Numerator: The top part of a fraction that represents the number of equal parts being considered.O1. Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees.2. Octagon: A polygon with eight sides and eight angles.3. Origin: The point (0, 0) on a coordinate plane, where the x-axis and y-axis intersect.4. Order of Operations: The set of rules for evaluating mathematical expressions, typically following the sequence of parentheses, exponents, multiplication, division, addition, and subtraction.5. Odd Number: An integer that cannot be divided evenly by 2.P1. Parabola: A conic section curve with a U shape, symmetric about a vertical line called the axis of symmetry.2. Pi (π): A mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to3.14159.3. Probability: The measure of the likelihood that a particular event will occur, often expressed as a fraction, decimal, or percentage.4. Prime Number: A natural number greater than 1 that has no positive divisors other than 1 and itself.5. Prism: A three-dimensional figure with two parallel congruent bases and rectangular or triangular sides connecting the bases.Q1. Quadrant: One of the four regions obtained by dividing a coordinate plane into four equal parts.2. Quadrilateral: A polygon with four sides and four angles.3. Quartile: Each of the three values that divide a data set into four equal parts, each containing 25% of the data.4. Quotient: The result obtained from the division of one number by another.5. Quaternion: A four-dimensional extension of complex numbers, often used in advanced mathematics and physics.R1. Radius: The distance from the center of a circle or sphere to any point on its circumference or surface, always half of the diameter.2. Radical: The symbol √ used to represent the square root of a number or the principal root of a higher-order root.3. Ratio: A comparison of two quantities, often expressed as a fraction, using a colon, or as a verbal statement.4. Reflection: A transformation that flips a figure over a line, creating a mirror image.5. Rhombus: A parallelogram with all four sides of equal length.S1. Scalene Triangle: A triangle with no equal sides.2. Sector: The region bounded by two radii of a circle and the arc between them.3. Series: The sum of the terms in a sequence, often represented using sigma notation.4. Sphere: A three-dimensional object in which every point on the surface is equidistant from the center point.5. Square: A polygon with four equal sides and four right angles.T1. Tangent: A trigonometric function that represents the ratio of the length of the side opposite an acute angle to the length of the adjacent side.2. Theorem: A mathematical statement that has been proven to be true based on previously established results.3. Transversal: A line that intersects two or more other lines, typically forming angles at the intersection points.4. Trapezoid: A quadrilateral with one pair of parallel sides.5. Triangle: A polygon with three sides and three angles.U1. Union: The combination of two or more sets to form a new set that contains all the elements of the original sets.2. Unit: A standard quantity used to measure or compare other quantities.3. Unit Circle: A circle with a radius of 1, often used in trigonometry to define trigonometric functions.4. Undefined: A term used to describe a mathematical expression or operation that does not have a meaning or value.5. Variable: A symbol or letter used to represent an unknown or changing quantity in an equation or expression.V1. Vertex: A point where two or more lines, rays, or line segments meet.2. Volume: The measure of the amount of space occupied by a three-dimensional object, often expressed in cubic units.3. Variable: A symbol or letter used to represent an unknown or changing quantity in an equation or expression.4. Vector: A quantity with both magnitude (size) and direction, often represented as an arrow.5. Venn Diagram: A graphical representation of the relationships between different sets using overlapping circles or other shapes.W1. Whole Numbers: The set of non-negative integers, including zero.2. Weighted Average: An average calculated by giving different weights or importance to different values or data points.3. Work: In physics, a measure of the energy transfer that occurs when an object is moved against an external force.4. Wavelength: The distance between two corresponding points on a wave, often represented by the symbol λ.5. Width: The measurement or extent of something from side to side.X1. x-axis: The horizontal number line in a coordinate plane.2. x-intercept: The point where a graph or a curve intersects the x-axis.3. x-coordinate: The horizontal component of a point's location on a coordinate plane.4. xy-plane: A two-dimensional coordinate plane formed by the x-axis and the y-axis.5. x-variable: A variable commonly used to represent the horizontal axis or the input in a mathematical equation or function.Y1. y-axis: The vertical number line in a coordinate plane.2. y-intercept: The point where a graph or a curve intersects the y-axis.3. y-coordinate: The vertical component of a point's location on a coordinate plane.4. y-variable: A variable commonly used to represent the vertical axis or the output in a mathematical equation or function.5. y=mx+b: The equation of a straight line in slope-intercept form, where m represents the slope and b represents the y-intercept.Z1. Zero: The number denoted by 0, often used as a placeholder or a starting point in the number system.2. Zero Pair: A pair of numbers that add up to zero when combined, often used in integer addition and subtraction.3. Zero Product Property: The property that states if the product of two or more factors is zero, then at least one of the factors must be zero.4. Zero Slope: A line that is horizontal and has a slope of 0.5. Zeroth Power: The exponent of 0, which always equals 1.Conclusion:This comprehensive English dictionary of mathematical terms provides an extensive list of vocabulary essential for understanding and communicating mathematical concepts. With the knowledge of these terms, readers can enhance their mathematical fluency and explore various branches of mathematics with greater confidence. Remember, mathematics is not just about numbers, but also about understanding the language that describes the beauty and intricacies of the subject.。

数学中英语专业名词Aabelian group：阿贝尔群；absolute geometry：绝对几何；absolute value：绝对值；abstract algebra：抽象代数；addition：加法；algebra：代数；algebraic closure：代数闭包；algebraic geometry：代数几何；algebraic geometry and analytic geometry：代数几何和解析几何；algebraic numbers：代数数；algorithm：算法；almost all：绝大多数；analytic function：解析函数；analytic geometry：解析几何；and：且；angle：角度；anticommutative：反交换律；antisymmetric relation：反对称关系；antisymmetry：反对称性；approximately equal：约等于；Archimedean field：阿基米德域；Archimedean group：阿基米德群；area：面积；arithmetic：算术；associative algebra：结合代数；associativity：结合律；axiom：公理；axiom of constructibility：可构造公理；axiom of empty set：空集公理；axiom of extensionality：外延公理；axiom of foundation：正则公理；axiom of pairing：对集公理；axiom of regularity：正则公理；axiom of replacement：代换公理；axiom of union：并集公理；axiom schema of separation：分离公理；axiom schema of specification：分离公理；axiomatic set theory：公理集合论；axiomatic system：公理系统；BBaire space：贝利空间；basis：基；Bézout's identity：贝祖恒等式；Bernoulli's inequality：伯努利不等式；Big O notation：大O符号；bilinear operator：双线性算子；binary operation：二元运算；binary predicate：二元谓词；binary relation：二元关系；Boolean algebra：布尔代数；Boolean logic：布尔逻辑；Boolean ring：布尔环；boundary：边界；boundary point：边界点；bounded lattice：有界格；Ccalculus：微积分学；Cantor's diagonal argument：康托尔对角线方法；cardinal number：基数；cardinality：势；cardinality of the continuum：连续统的势；Cartesian coordinate system：直角坐标系；Cartesian product：笛卡尔积；category：范畴；Cauchy sequence：柯西序列；Cauchy-Schwarz inequality：柯西不等式；Ceva's Theorem：塞瓦定理；characteristic：特征；characteristic polynomial：特征多项式；circle：圆；class：类；closed：闭集；closure：封闭性或闭包；closure algebra：闭包代数；combinatorial identities：组合恒等式；commutative group：交换群；commutative ring：交换环；commutativity:：交换律；compact：紧致的；compact set：紧致集合；compact space：紧致空间；complement：补集或补运算；complete lattice：完备格；complete metric space：完备的度量空间；complete space：完备空间；complex manifold：复流形；complex plane：复平面；congruence：同余；congruent：全等；connected space：连通空间；constructible universe：可构造全集；constructions of the real numbers：实数的构造；continued fraction：连分数；continuous：连续；continuum hypothesis：连续统假设；contractible space：可缩空间；convergence space：收敛空间；cosine：余弦；countable：可数；countable set：可数集；cross product：叉积；cycle space：圈空间；cyclic group：循环群；Dde Morgan's laws：德·摩根律；Dedekind completion：戴德金完备性；Dedekind cut：戴德金分割；del：微分算子；dense：稠密；densely ordered：稠密排列；derivative：导数；determinant：行列式；diffeomorphism：可微同构；difference：差；differentiable manifold：可微流形；differential calculus：微分学；dimension：维数；directed graph：有向图；discrete space：离散空间；discriminant：判别式；distance：距离；distributivity：分配律；dividend：被除数；dividing：除；divisibility：整除；division：除法；divisor：除数；dot product：点积；Eeigenvalue：特征值；eigenvector：特征向量；element：元素；elementary algebra：初等代数；empty function：空函数；empty set：空集；empty product：空积；equal：等于；equality：等式或等于；equation：方程；equivalence relation：等价关系；Euclidean geometry：欧几里德几何；Euclidean metric：欧几里德度量；Euclidean space：欧几里德空间；Euler's identity：欧拉恒等式；even number：偶数；event：事件；existential quantifier：存在量词；exponential function：指数函数；exponential identities：指数恒等式；expression：表达式；extended real number line：扩展的实数轴；Ffalse：假；field：域；finite：有限；finite field：有限域；finite set：有限集合；first-countable space：第一可数空间；first order logic：一阶逻辑；foundations of mathematics：数学基础；function：函数；functional analysis：泛函分析；functional predicate：函数谓词；fundamental theorem of algebra：代数基本定理；fraction：分数；Ggauge space：规格空间；general linear group：一般线性群；geometry：几何学；gradient：梯度；graph：图；graph of a relation：关系图；graph theory：图论；greatest element：最大元；group：群；group homomorphism：群同态；HHausdorff space：豪斯多夫空间；hereditarily finite set：遗传有限集合；Heron's formula：海伦公式；Hilbert space：希尔伯特空间；Hilbert's axioms：希尔伯特公理系统；Hodge decomposition：霍奇分解；Hodge Laplacian：霍奇拉普拉斯算子；homeomorphism：同胚；horizontal：水平；hyperbolic function identities：双曲线函数恒等式；hypergeometric function identities：超几何函数恒等式；hyperreal number：超实数；Iidentical：同一的；identity：恒等式；identity element：单位元；identity matrix：单位矩阵；idempotent：幂等；if：若；if and only if：当且仅当；iff：当且仅当；imaginary number：虚数；inclusion：包含；index set：索引集合；indiscrete space：非离散空间；inequality：不等式或不等；inequality of arithmetic and geometric means：平均数不等式；infimum：下确界；infinite series：无穷级数；infinite：无穷大；infinitesimal：无穷小；infinity：无穷大；initial object：初始对象；inner angle：内角；inner product：内积；inner product space：内积空间；integer：整数；integer sequence：整数列；integral：积分；integral domain：整数环；interior：内部；interior algebra：内部代数；interior point：内点；intersection：交集；inverse element：逆元；invertible matrix：可逆矩阵；interval：区间；involution：回旋；irrational number：无理数；isolated point：孤点；isomorphism：同构；JJacobi identity：雅可比恒等式；join：并运算；K格式：Kuratowski closure axioms：Kuratowski 闭包公理；Lleast element：最小元；Lebesgue measure：勒贝格测度；Leibniz's law：莱布尼茨律；Lie algebra：李代数；Lie group：李群；limit：极限；limit point：极限点；line：线；line segment：线段；linear：线性；linear algebra：线性代数；linear operator：线性算子；linear space：线性空间；linear transformation：线性变换；linearity：线性性；list of inequalities：不等式列表；list of linear algebra topics：线性代数相关条目；locally compact space：局部紧致空间；logarithmic identities：对数恒等式；logic：逻辑学；logical positivism：逻辑实证主义；law of cosines：余弦定理；L??wenheim-Skolem theorem：L??wenheim-Skolem 定理；lower limit topology：下限拓扑；Mmagnitude：量；manifold：流形；map：映射；mathematical symbols：数学符号；mathematical analysis：数学分析；mathematical proof：数学证明；mathematics：数学；matrix：矩阵；matrix multiplication：矩阵乘法；meaning：语义；measure：测度；meet：交运算；member：元素；metamathematics：元数学；metric：度量；metric space：度量空间；model：模型；model theory：模型论；modular arithmetic：模运算；module：模；monotonic function：单调函数；multilinear algebra：多重线性代数；multiplication：乘法；multiset：多样集；Nnaive set theory：朴素集合论；natural logarithm：自然对数；natural number：自然数；natural science：自然科学；negative number：负数；neighbourhood：邻域；New Foundations：新基础理论；nine point circle：九点圆；non-Euclidean geometry：非欧几里德几何；nonlinearity：非线性；non-singular matrix：非奇异矩阵；nonstandard model：非标准模型；nonstandard analysis：非标准分析；norm：范数；normed vector space：赋范向量空间；n-tuple：n 元组或多元组；nullary：空；nullary intersection：空交集；number：数；number line：数轴；Oobject：对象；octonion：八元数；one-to-one correspondence：一一对应；open：开集；open ball：开球；operation：运算；operator：算子；or：或；order topology：序拓扑；ordered field：有序域；ordered pair：有序对；ordered set：偏序集；ordinal number：序数；ordinary mathematics：一般数学；origin：原点；orthogonal matrix：正交矩阵；Pp-adic number：p进数；paracompact space：仿紧致空间；parallel postulate：平行公理；parallelepiped：平行六面体；parallelogram：平行四边形；partial order：偏序关系；partition：分割；Peano arithmetic：皮亚诺公理；Pedoe's inequality：佩多不等式；perpendicular：垂直；philosopher：哲学家；philosophy：哲学；philosophy journals：哲学类杂志；plane：平面；plural quantification：复数量化；point：点；Point-Line-Plane postulate：点线面假设；polar coordinates：极坐标系；polynomial：多项式；polynomial sequence：多项式列；positive-definite matrix：正定矩阵；positive-semidefinite matrix：半正定矩阵；power set：幂集；predicate：谓词；predicate logic：谓词逻辑；preorder：预序关系；prime number：素数；product：积；proof：证明；proper class：纯类；proper subset：真子集；property：性质；proposition：命题；pseudovector：伪向量；Pythagorean theorem：勾股定理；QQ.E.D.：Q.E.D.；quaternion：四元数；quaternions and spatial rotation：四元数与空间旋转；question：疑问句；quotient field：商域；quotient set：商集；Rradius：半径；ratio：比；rational number：有理数；real analysis：实分析；real closed field：实闭域；real line：实数轴；real number：实数；real number line：实数线；reflexive relation：自反关系；reflexivity：自反性；reification：具体化；relation：关系；relative complement：相对补集；relatively complemented lattice：相对补格；right angle：直角；right-handed rule：右手定则；ring：环；Sscalar：标量；second-countable space：第二可数空间；self-adjoint operator：自伴随算子；sentence：判断；separable space：可分空间；sequence：数列或序列；sequence space：序列空间；series：级数；sesquilinear function：半双线性函数；set：集合；set-theoretic definition of natural numbers：自然数的集合论定义；set theory：集合论；several complex variables：一些复变量；shape：几何形状；sign function：符号函数；singleton：单元素集合；social science：社会科学；solid geometry：立体几何；space：空间；spherical coordinates：球坐标系；square matrix：方块矩阵；square root：平方根；strict：严格；structural recursion：结构递归；subset：子集；subsequence：子序列；subspace：子空间；subspace topology：子空间拓扑；subtraction：减法；sum：和；summation：求和；supremum：上确界；surreal number：超实数；symmetric difference：对称差；symmetric relation：对称关系；system of linear equations：线性方程组；Ttensor：张量；terminal object：终结对象；the algebra of sets：集合代数；theorem：定理；top element：最大元；topological field：拓扑域；topological manifold：拓扑流形；topological space：拓扑空间；topology：拓扑或拓扑学；total order：全序关系；totally disconnected：完全不连贯；totally ordered set：全序集；transcendental number：超越数；transfinite recursion：超限归纳法；transitivity：传递性；transitive relation：传递关系；transpose：转置；triangle inequality：三角不等式；trigonometric identities：三角恒等式；triple product：三重积；trivial topology：密着拓扑；true：真；truth value：真值；Uunary operation：一元运算；uncountable：不可数；uniform space：一致空间；union：并集；unique：唯一；unit interval：单位区间；unit step function：单位阶跃函数；unit vector：单位向量；universal quantification：全称量词；universal set：全集；upper bound：上界；Vvacuously true：??；Vandermonde's identity：Vandermonde 恒等式；variable：变量；vector：向量；vector calculus：向量分析；vector space：向量空间；Venn diagram：文氏图；volume：体积；von Neumann ordinal：冯·诺伊曼序数；von Neumann universe：冯·诺伊曼全集；vulgar fraction：分数；ZZermelo set theory：策梅罗集合论；Zermelo-Fraenkel set theory：策梅罗-弗兰克尔集合论；ZF set theory：ZF 系统；zero：零；zero object：零对象；。

Mathematics1. The number systemPositive number 正数negative number 负数integer 整数fraction 分数Rational number 有理数irrational number 无理数Origin 原点number axis 数轴absolute value 绝对值opposite number 相反数addition 加法subtraction 减法multiplication 乘法division 除法involution 乘方base number 底exponent 指数power 幂square 平方cube 立方scientific notation 科学计数法square root 平方根extraction of square root 开平方cube root 立方根extraction of cubic root 开立方real number 实数approximate number 近似数arithmetic mean 算术平均数或平均数weight 权median 中位数mode 众数variance 方差2. 4. Linear equations & linear systemlinear equation with one unknown 一元一次方程linear inequalities 一元不等式solution of equation 方程的解solving equation 解方程moving terms 移项3. quadratic equationsquadratic equation with one unknown 一元二次方程5. linear functions 一次函数（复数）constant 常量variable 变量function 函数graph 图像direct proportion function正比例函数6. quadratic function 二次函数parabola 抛物线8. 10. 11. 12circular cylinder 圆柱circular cone 圆锥cube 正方体cuboid 长方体sphere 球pyramid 棱锥prism 棱柱point 点line 线surface 面graph transformations 图形的运动translation 平移rotation 旋转congruent figures 全等图形congruent triangles 全等三角形corresponding vertices 对应顶点corresponding sides 对应边corresponding angles 对应角regular polygon 正多边形similar figures 相似形similar polygons 相似多边形similarity ratio 相似比9. angles in parallel lines 平行线中的角angle 角angular bisector 角的平分线complementary angle 余角supplementary angle 补角parallel lines 平行线perpendicular line 垂线foot of a perpendicular 垂足vertical line segment 垂线段the distance between a point to a straight line 点到直线的距离14. circlecentre of a circle 圆心radius 半径chord 弦diameter 直径arc 弧major arc 优弧minor arc 劣弧central angle 圆心角concentric circles 同心圆equal circle 等圆equal arc 等弧circumcircle of triangle 三角形的外接圆circumcenter of triangle 三角形的外心angle in a segment 圆周角quadrilateral in a circle圆的内接四边形tangent line of a circle 圆的切线tangent point 切点Inscribed circle of triangle 三角形的内切圆incenter of triangle 三角形的内心length of the tangent 切线长15. probability 概率impossible event 不可能事件certain event 必然事件random event 随机事件statistics 统计absolute frequency 頻数relative frequency 频率frequency distribution table 頻数分布表frequency distribution histogram頻数分布直方图。

高等数学 (Higher Mathematics) 一些基本名词中英文对照表中文英文中文英文函数function 逆时针方counterclockwise向定义域domain of definition 变量variable值域range of function 常量constant quantity 极限limit 坐标轴axis of coordinates 极限值limit value 横坐标abscissa发散diverge 纵坐标ordinate收敛converge 锐角acute angle连续性continuity 钝角obtuse angle连续函数continuous function 平角straight angle左连续continuity from the left 直角right angle开集open set 圆circle闭集closed set 半径radius闭区间closed interval 直径diameter区间interval 三角形triangle一元函数function of one variable 斜率slope多元函数function of several variables 无穷小infinitesimal内点inner point 无穷大infinite孤立点isolated point 正positive邻域neighborhood 负negative导数derivative 凸convex偏导数partial derivative 凹concave微分differential calculus 椭圆ellipse全微分total differential 双曲线hyperbola偏微分partial differential 曲线curve积分integral 曲面surface微积分infinitesimal calculus 交intersection重积分multiple integral 补集complement二重积分double integral 投影project三重积分threefold integral 等差级数arithmetical progression 中值定理law of the mean 几何级数geometric progression 极值extreme values 公理axioms定积分definite integral 定义definition不定积分indefinite integral 定理theorem曲线积分curvilinear integral 集合set曲面积分surface integral 元素element级数progression,series 空集empty数列sequence 子集subset微分方程differential equation 相等equal常微分方ordinary differential equation 常数constant程偏微分方partial differential equation 对数logarithm程差分方程difference equation 指数exponential特征方程characteristic equation 曲率curvature间断点discontinuity point 曲率圆circle of curvature渐近线asymptote 曲率半径radius of curvature切线tangent line 切平面tangent plane切线方程tangential equation 幂级数power series拐点point of inflexion 收敛半径convergence radius绝对收敛absolutely convergence 收敛区间convergence interval条件收敛conditional convergence 收敛区域convergence region和函数sum function 通解general solution解solution 特解special solution初始条件initial condition 阶order条件极值conditional extremum 常数项级constant series数必要条件necessary condition 正项级数positive series充分条件sufficient condition 交错级数alternate series 收敛判别convergence criterion 一般级数ordinary series 法比较判别comparison criterion法《线性代数》英文专业词汇英文中文Linear Algebra 线性代数determinant 行列式row 行column 列element 元素diagonal 对角线principal diagona 主对角线auxiliary diagonal 次对角线transposed determinant 转置行列式triangular determinants 三角行列式interchange 互换absolute value 绝对值identity 恒等式n-order determinants n 阶行列式evaluation of determinant 行列式的求值Algebra cofactor 代数余子式the Vandermonde determinant 范德蒙行列式method of Recursion relation 递推法induction 归纳法Cramer′s rule 克莱姆法则matrix 矩阵the zero matrix 零矩阵the identity matrix 单位矩阵symmetric 对称的英文中文skew-symmetric 反对称的commutative law 交换律square Matrix方阵a matrix of order m×n矩阵m×nthe determinant of matrix A方阵A的行列式operations on Matrices矩阵的运算a transposed matrix转置矩阵an inverse matrix逆矩阵an diagonal matrix对角矩阵an adjoint matrix伴随矩阵singular matrix奇异矩阵nonsingular matrix非奇异矩阵elementary transformations初等变换vectors向量components分量linearly combination线性组合space of arithmetical vectors向量空间subspace子空间dimension维basis基transformation matrix过渡矩阵linearly independent线性无关linearly dependent线性相关the minor of the k th order k 阶子式rank of a Matrix矩阵的秩row vectors行向量column vectors列向量the maximal linearly independent subsystem最大线性无关组Euclidean space欧几里德空间Unitary space酉空间英文中文systems of linear equations线性方程组elimination method消元法homogenous齐次的nonhomogenous非齐次的equivalent等价的necessary and sufficient condition充要条件incompatiable无解的unique solution唯一解the matrix of the coefficients系数矩阵general solution通解particular solution特解trivial solution零解nontrivial solution非零解the fundamental system of solutions基础解系eigenvalue特征值eigenvector特征向量characteristic polynomial特征多项式characteristic equation特征方程normed vector单位向量orthogonal正交的orthogonalization正交化the Gram-Schmidt process正交化过程reducing a matrix to the diagonal form对角化矩阵orthonormal basis标准正交基orthogonal transformation正交变换linear transformation线性变换quadratic forms二次型canonical form标准型the canonical form of a quadratic form二次型的标准型the second-order curve二次曲线coordinate transformation坐标变换。

态射(morphism);域(domain);陪域(codomain);泛代数(universal algebra)拓扑学(topology);点集拓扑(或一般拓扑)General Topology微分流形 differential manifold流形 manifold微分方程 Differential Equations渐近性 Asymptotic Behavior三阶拟线性 Third Order Quasilinear牛顿冷却定律 Newton's law of cooling微分算子 differential operatordiffeomorphism 微分同胚122226s admissible s容许的s matrix s矩阵saddle point 鞍点saddle point method 鞍点法salient angle 凸角salient point 折点saltusfunction 跳跃函数sample 样本sample correlation coefficient 样本相关系数sample correlation matrix 样本相关阵sample covariance 样本协方差sample covariance matrix 样本协方差阵sample dispersion 样本方差sample function 样本函数sample mean 样本均值sample median 样本中位数sample moment 样本矩sample point 样本点sample quartile 样本四分位数sample size 样本的大小sample space 样本空间sample survey 样本甸sample unit 抽样单位sample variable 样本变量sample variance 样本方差sampling 抽样sampling distribution 样本分布sampling error 抽样误差sampling fraction 抽样比sampling inspection 抽样检查sampling method 抽样法sampling moment 样本矩sampling ratio 抽样比sampling survey 样本甸sampling unit 抽样单位sarrus rule 萨律法satisfiable 可满足的satisfy 满足saturated set 浸润集saturated subset 浸润子集saturated vertex 饱和顶点saturation curve 饱和曲线scalar 纯量scalar curvature 纯量曲率scalar density 纯量密度scalar field 纯量场。

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数学英语专业术语词汇数学专业术语词汇代数部分1.有关数学运算add，plus加subtract减difference差multiply, times乘product积divide除divisible可被整除的divided evenly被整除dividend被除数，divisor因子，除数quotient商remainder余数factorial阶乘power乘方radical sign, root sign根号round to四舍五入 increase 增加 reduce 减少3.有关代数式、方程和不等式value值equation 方程algebraic term代数项like terms, similar terms同类项satisfy 满足numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程，等价方程linear equation线性方程(e.g.5x+6=22)4.有关分数和小数fraction 分数proper fraction真分数improper fraction假分数mixed number带分数vulgar fraction，common fraction普通分数simple fraction简分数complex fraction繁分数numerator分子denominator分母(least)common denominator （最小）公分母quarter四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数percent 百分之5.基本数学概念average 平均数 maximum/ minimum number 最大/ 最小数 square 平方arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数，幂base乘幂的底数,底边cube立方数，立方体square root 平方根cube root立方根common logarithm常用对数digit数字 not more than 不大于less than 小于units’ digit个位数字 sum 和 represent 代表adjacent 相邻的 constant常数variable变量inverse function反函数complementary function余函数linear一次的，线性的factorization因式分解absolute value绝对值，e.g.｜-32｜=32round off四舍五入6.有关数论number 数natural number自然数positive number正数negative number负数odd integer, odd number奇数even integer, even number偶数integer, whole number整数positive integer 正整数positive whole number正整数negative whole number负整数consecutive number连续整数real number, rational number实数,有理数irrational（number）无理数inverse倒数composite number 合数e.g.4,6,8,9,10,12,14,15……prime number质数e.g.2,3,5,7,11,13,15……注意：所有的质数(2除外)都是奇数，但奇数不一定是质数reciprocal倒数common divisor公约数multiple倍数(least)common multiple(最小)公倍数(prime)factor(质)因子common factor公因子 decimal system十进制nonnegative非负的tens十位units个位mode众数median中数common ratio 公比7.数列sequence 数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列consecutive 连续的8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数direct proportion 、direct ratio正比distinct不同的estimation估计，近似parentheses括号proportion比例permutation排列combination组合table表格trigonometric function三角函数unit单位,位figure 图表几何部分1.所有的角corner 角alternate angle内错角corresponding angle同位角vertical angle 对顶角central angle圆心角interior angle内角exterior angle外角 a supplementary angle补角complementary angle余角adjacent angle邻角acute angle 锐角obtuse angle钝角right angle直角round angle周角straight angle平角included angle夹角2.所有的三角形triangle三角形regular triangle 正三角形equilateral triangle等边三角形scalene triangle不等边三角形isosceles triangle等腰三角形right triangle直角三角形oblique斜三角形inscribed triangle内接三角形3.有关收敛的平面图形，除三角形外semicircle半圆concentric circles同心圆quadrilateral四边形pentagon五边形hexagon六边形heptagon七边形octagon八边形nonagon九边形decagon十边形 icosagon 正二十边形polygon多边形parallelogram平行四边形equilateral 等边形plane平面square正方形，平方rectangle长方形regular polygon正多边形rhombus菱形trapezoid梯形4.其它平面图形arc弧line, straight line 、beeline直线line segment线段parallel lines平行线segment of a circle弧形5.有关立体图形cube立方体，立方数rectangular solid长方体regular solid/regular polyhedron 正多面体circular cylinder圆柱体cone圆锥sphere球体solid立体的octahedron 八面体6.有关图形上的附属物perimeter 周长area 面积altitude高depth深度side边长circumference, perimeter周长radian弧度surface area表面积volume体积arm直角三角形的股cross section横截面centre of a circle圆心chord弦radius半径angle bisector角平分线diagonal对角线diameter直径edge棱face of a solid立体的面hypotenuse斜边included side夹边leg三角形的直角边median of a triangle三角形的中线base底边，底数（e.g.2的5次方，2就是底数）opposite直角三角形中的对边midpoint中点endpoint端点vertex(复数形式vertices)顶点tangent切线的transversal截线intercept截距shaded region 阴影区7.有关坐标coordinate system坐标系rectangular coordinate直角坐标系origin原点abscissa横坐标ordinate纵坐标number line数轴quadrant象限slope斜率complex plane复平面8.其它plane geometry平面几何trigonometry三角学bisect平分circumscribe外切inscribe内切intersect相交perpendicular垂直parallel 平行Pythagorean proposition勾股定理congruent全等的multilateral多边的measure 度量其它1.单位类cent美分penny 一美分硬币nickel5美分硬币dime一角硬币dozen打（12个）score廿(20个)Centigrade摄氏Fahrenheit华氏quart夸脱gallon加仑(1gallon=4quart)yard码meter米micron微米inch英寸foot英尺minute 分(角度的度量单位，60分=1度)square measure平方单位制cubic meter立方米pint品脱(干量或液量的单位)2.有关文字叙述题，主要是有关商业intercalary year(leap year)闰年(366天)common year平年(365天)depreciation 折旧down payment直接付款discount打折margin利润profit利润interest利息simple interest单利compounded interest复利dividend红利decrease to 减少到decrease by减少了increase to增加到increase by增加了denote表示list price标价markup涨价per capita每人ratio比率retail price零售价。

高等数学术语英语翻译V、X、Z:Value of function：函数值Vector：函数值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:Tangent function：正切函数Tangent line：切线Total differential：全微分Trigonometric function：三角函数Tripe integrals：三重积分S:Second derivative：二阶导数Second partial derivative：二阶偏导数Sequence：数列Set：集合Slope：斜率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Sum：和Surface：曲面Surface integral：面积分Surface of revolution：旋转曲面Symmetry：对称Sine function：正弦函数Slant asymptote：斜渐近线R:Range of a function：函数的值域Rate of change：变化率Rational function：有理函数Rational number：有理数Real number：实数Rectangular coordinates：直角坐标Revolution,solid of：旋转体Revolution,surface of：旋转曲面Root：根P、Q:Parabola：拋物线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Plane：平面Polar coordinate：极坐标Pole：极点Polynomial：多项式Positive angle：正角Power function：幂函数Product：积M、N、O:Maximum and minimum values：极大与极小值Multiple integrals：重积分Natural num ber：自然数Normal line：法线Number：数Odd function：奇函数One-sided li mit：单边极限Open interval：开区间Ordinary differential equation：常微分方程Orthogonal：正交的Origin：原点L:Law of Cosines：余弦定理Left-hand derivative：左导数Left-hand limit：左极限Length：长度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Logarithm：对数Logarithmic function：对数函数I:Implicit function：隐函数Increment：增量Indefinite integral：不定积分Independent variable：自变数Indeterminate from：不定型Inequality：不等式Infinite point：无穷极限Infinite series：无穷级数Integer：整数Integral：积分Integrand：被积分式Integration：积分Intercepts：截距Interval：区间Inverse function：反函数Inverse trigonometric function：反三角函数Iterated integral：逐次积分Intermediate value of Theorem：中间值定理H:Higher mathematics高等数学/高数E、F、G、H:Ellipse：椭圆Ellipsoid：椭圆体Equation：方程式Even function：偶函数Expected Valued：期望值Exponential Function：指数函数Extreme value：极值Focus：焦点Fractions：分式Function：函数Gradient：梯度Graph：图形Higher Derivative：高阶导数Horizontal asymptote：水平渐近线Horizontal line：水平线Hyperbola：双曲线Hyper boloid：双曲面D:Decreasing function：递减函数Decreasing sequence：递减数列Definite integral：定积分Density：密度Derivative：导数higher：高阶导数partial：偏导数Determinant：行列式Differentiable function：可导函数Differential：微分Differential equation：微分方程partial：偏微分方程Differentiation：求导法implicit：隐求导法partial：偏微分法Discontinuity：不连续性Distance：距离Divergence：发散Domain：定义域Double integral：二重积分C:Calculus：微积分differential：微分学integral：积分学Circle：圆Circular cylinder：圆柱Closed interval：封闭区间Coefficient：系数Cone：圆锥Constant function：常数函数Constant of integration：积分常数Continuity：连续性Continuous function：连续函数Convergence：收敛Convergent sequence：收敛数列Coordinate：s：坐标polar：极坐标rectangular：直角坐标spherical：球面坐标Coordinate axes：坐标轴Cosine function：余弦函数Critical point：临界点Cubic function：三次函数Curve：曲线Cylinder：圆柱A、B:Absolute convergence：绝对收敛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Arbitrary constant：任意常数Arc length：弧长Area：面积Asymptote：渐近线horizontal：水平渐近线slant：斜渐近线vertical：垂直渐近线Average speed：平均速率Average velocity：平均速度微积分词汇第一章函数与极限Chapter1Function and Limit集合set元素element子集subset空集empty set并集union交集intersection 差集difference of set基本集basic set补集complement set直积direct product开区间open interval闭区间closed interval映射mapping一一映射one-to-one mapping变化transformation函数function自变量independent variable因变量dependent variable函数关系function relation值域range函数图形graph of a function绝对值函数absolute value符号函数sigh function整数部分integral part分段函数piecewise function函数的单调性monotonicity of a function单调增加的increasing单调减少的decreasing单调函数monotone function对称symmetry偶函数even function奇函数odd function周期period反函数inverse function直接函数direct function复合函数composite function中间变量intermediate variable函数的运算operation of function基本初等函数basic elementary function初等函数elementary function幂函数power function指数函数exponential function对数函数logarithmic function三角函数trigonometric function反三角函数inversetrigonometric function常数函数constant function极限limit数列sequence of number 收敛convergence发散divergent子列subsequence函数的极限limits of functions左极限left limit右极限right limit单侧极限one-sided limits无穷小infinitesimal无穷大infinity单调数列monotonic sequence高阶无穷小infinitesimal of higher order 低阶无穷小infinitesimal of lower order同阶无穷小infinitesimal of the same order2高等数学-翻译等阶无穷小equivalent infinitesimal函数的连续性continuity of a function增量increment不连续点discontinuity point第一类间断点discontinuity point of the first kind第二类间断点discontinuity point of the second kind定义区间defined interval最大值global maximum value(absolute maximum)最小值global minimum value (absolute minimum)零点定理the zero point theorem介值定理intermediate value theorem 第二章导数与微分Chapter2Derivative and Differential匀速运动uniform motion平均速度average velocity瞬时速度instantaneous velocity圆的切线tangent line of a circle切线tangent line切线的斜率slope of the tangent line 位置函数position function导数derivative可导derivable导函数derived function切线方程tangent equation隐函数implicit function显函数explicit function高阶导数nth derivative相关变化率correlative change rata微分differential可微的differentiable函数的微分differential of function自变量的微分differential of independent variable绝对误差absolute error相对误差relative error第三章微分中值定理与导数的应用Chapter3MeanValue Theorem of Differentials and the Application of Derivatives临界点critical point辅助函数auxiliary function不定式indeterminate form泰勒公式Taylor formula余项remainder term拐点inflection point函数的极值extremum of function极大值local(relative)maximum极小值local(relative)minimum曲率curvature平均曲率average curvature曲率中心center of curvature第四章不定积分Chapter4Indefinite Integrals原函数primitive function(antiderivative)积分号sign of integration被积函数integrand积分变量integral variable积分曲线integral curve积分表table of integrals换元积分法integration by substitution分部积分法integration by parts分部积分公式formula of integration by parts有理函数rational function第五章定积分Chapter5Definite Integrals曲边梯形trapezoid with曲边curve edge积分下限lower limit of integral积分上限upper limit of integral积分区间integral interval分割partition积分和integral sum可积integrable反常积分improper integral第六章定积分的应用面积元素element of area极坐标polar coordinates抛物线parabola椭圆ellipse旋转体的面积volume of a solid of rotation曲线的弧长arc length of acurve光滑smooth功work水压力water pressure引力gravitation变力variable force第七章空间解析几何与向量代数Chapter7Space Analytic Geometry and Vector Algebra相等equal平行parallel三角法则triangle rule平行四边形法则parallelogram rule交换律commutative law结合律associative law差difference分配律distributive law球面sphere轴axis顶点vertex抛物柱面parabolic cylinder二次曲面quadric surface椭圆锥面dlliptic cone椭球面ellipsoid椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder抛物柱面parabolic cylinder空间曲线space curve投影projection垂直perpendicular第八章多元函数微分法及其应用Chapter8Differentiation of Functions of Several Variables and Its Application一元函数function of one variable多元函数function of several variables边界点frontier point,boundary point开集openset闭集closed set有界集bounded set 无界集unbounded set二重极限double limit连续函数continuous function不连续点discontinuity point偏导数partial derivative高阶偏导数partial derivative of higher order二阶偏导数second order partial derivative全微分total differential偏增量oartial increment偏微分partial differential全增量total increment可微分differentiable必要条件necessary condition充分条件sufficient condition全导数total derivative法线normal line梯度gradient 无条件极值unconditional extreme values条件极值conditional extreme values最小二乘法method of least squares第九章重积分Chapter9Multiple Integrals二重积分double integral可加性additivity三重积分triple integral反常二重积分improper double integral曲面的面积area of a surface质心centre of mass密度density第十二章微分方程Chapter12Differential Equation常微分方程ordinary differential equation偏微分方程partial differential equation,PDE初始条件initial condition衰变decay齐次方程homogeneous equation一阶线性方程linear differential equation of first order非齐次non-homogeneous齐次线性方程homogeneous linear equation非齐次线性方程non-homogeneous linear equation全微分方程total differential equation高阶微分方程differential equation of higher order二阶线性微分方程second order linera differential equation线性相关linearly dependence 线性无关linearly independce variable coefficient微分方程组system of differential equations。

数学专有名词英文词典V、X、ZValue 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Zeros of a polynomial ：多项式的零点TTangent function ：正切函数Tangent line ：切线Tangent plane ：切平面Tangent vector ：切向量Total differential ：全微分Trigonometric function ：三角函数Trigonometric integrals ：三角积分Trigonometric substitutions ：三角代换法Tripe integrals ：三重积分SSaddle point ：鞍点Scalar ：纯量Secant line ：割线Second derivative ：二阶导数Second Derivative Test ：二阶导数试验法Second partial derivative ：二阶偏导数Sector ：扇形Sequence ：数列Series ：级数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RRadius of convergence ：收敛半径Range of a function ：函数的值域Rate of change ：变化率Rational function ：有理函数Rationalizing substitution ：有理代换法Rational number ：有理数Real number ：实数Rectangular coordinates ：直角坐标Rectangular coordinate system ：直角坐标系Relative maximum and minimum ：相对极大值与极小值Revenue function ：收入函数Revolution , solid of ：旋转体Revolution , surface of ：旋转曲面Riemann Sum ：黎曼和Riemannian geometry ：黎曼几何Right-hand derivative ：右导数Right-hand limit ：右极限Root ：根P、QParabola ：拋物线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Point-slope form ：点斜式Power function ：幂函数Product ：积Quadrant ：象限Quotient Law of limit ：极限的商定律Quotient Rule ：商定律M、N、OMaximum and minimum values ：极大与极小值Mean Value Theorem ：均值定理Multiple integrals ：重积分Multiplier ：乘子Natural exponential function ：自然指数函数Natural logarithm function ：自然对数函数Natural number ：自然数Normal line ：法线Normal vector ：法向量Number ：数Octant ：卦限Odd function ：奇函数One-sided limit ：单边极限Open interval ：开区间Optimization problems ：最佳化问题Order ：阶Ordinary differential equation ：常微分方程Origin ：原点Orthogonal ：正交的LLaplace 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Line in the plane ：平面上之直线Line in space ：空间之直线Lobachevski geometry ：罗巴切夫斯基几何Local extremum ：局部极值Local maximum and minimum ：局部极大值与极小值Logarithm ：对数Logarithmic function ：对数函数IImplicit differentiation ：隐求导法Implicit function ：隐函数Improper integral ：瑕积分Increasing/Decreasing Test ：递增或递减试验法Increment ：增量Increasing Function ：增函数Indefinite integral ：不定积分Independent variable ：自变数Indeterminate from ：不定型Inequality ：不等式Infinite point ：无穷极限Infinite series ：无穷级数Inflection point ：反曲点Instantaneous velocity ：瞬时速度Integer ：整数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HHigher mathematics 高等数学/高数E、F、G、HEllipse ：椭圆Ellipsoid ：椭圆体Epicycloid ：外摆线Equation ：方程式Even function ：偶函数Expected Valued ：期望值Exponential Function ：指数函数Exponents , laws of ：指数率Extreme value ：极值Extreme Value Theorem ：极值定理Factorial ：阶乘First Derivative Test ：一阶导数试验法First octant ：第一卦限Focus ：焦点Fractions ：分式Function ：函数Fundamental Theorem of Calculus ：微积分基本定理Geometric series ：几何级数Gradient ：梯度Graph ：图形Green Formula ：格林公式Half-angle formulas ：半角公式Harmonic series ：调和级数Helix ：螺旋线Higher Derivative ：高阶导数Horizontal asymptote ：水平渐近线Horizontal line ：水平线Hyperbola ：双曲线Hyper boloid ：双曲面DDecreasing 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as the slope of a tangent ：导数看成切线之斜率Determinant ：行列式Differentiable function ：可导函数Differential ：微分Differential equation ：微分方程partial ：偏微分方程Differentiation ：求导法implicit ：隐求导法partial ：偏微分法term by term ：逐项求导法Directional derivatives ：方向导数Discontinuity ：不连续性Disk method ：圆盘法Distance ：距离Divergence ：发散Domain ：定义域Dot product ：点积Double integral ：二重积分change of variable in ：二重积分之变数变换in polar coordinates ：极坐标二重积分CCalculus ：微积分differential ：微分学integral ：积分学Cartesian coordinates ：笛卡儿坐标图片一般指直角坐标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from the right ：右连续Continuous function ：连续函数Convergence ：收敛interval of ：收敛区间radius of ：收敛半径Convergent sequence ：收敛数列series ：收敛级数Coordinate：s：坐标Cartesian ：笛卡儿坐标cylindrical ：柱面坐标polar ：极坐标rectangular ：直角坐标spherical ：球面坐标Coordinate axes ：坐标轴Coordinate planes ：坐标平面Cosine function ：余弦函数Critical point ：临界点Cubic function ：三次函数Curve ：曲线Cylinder：圆柱Cylindrical Coordinates ：圆柱坐标A、BAbsolute convergence ：绝对收敛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slant ：斜渐近线vertical ：垂直渐近线Average speed ：平均速率Average velocity ：平均速度Axes, coordinate ：坐标轴Axes of ellipse ：椭圆之轴Binomial series ：二项级数。

（完整版）英语数学名词大全代数部分1.有关基本运算：add, plus加subtract减difference差multiply, times乘product积divide除divisible可被整除的divided evenly被整除dividend被除数divisor因子，除数quotient商remainder余数factorial阶乘power乘方radical sign, root sign根号round to四舍五入to the nearest四舍五入2.有关集合union并集proper subset真子集3.有关代数式、方程和不等式algebraic term代数项like terms, similar terms同类项numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程等价方程linear equation线性方程(e.g.5 x +6=22) 4.有关分数和小数proper fraction真分数improper fraction假分数mixed number带分数vulgar fraction, common fraction普通分数simple fraction简分数complex fraction繁分数numerator分子(least)common denominator(最小)公分母quarter四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenths unit十分位5.基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数，幂base乘幂的底数,底边cube立方数，立方体square root平方根cube root立方根common logarithm常用对数digit数字constant常数variable变量inverse function反函数complementary function余函数factorization因式分解absolute value绝对值，e.g.｜-32｜=32round off四舍五入6.有关数论natural number自然数positive number正数negative number负数odd integer, odd number奇数even integer, even number偶数integer, whole number整数positive whole number正整数negative whole number负整数consecutive number连续整数real number, rational number实数,有理数irrational(number)无理数composite number合数 e.g.4,6,8,9,10,12,14,15……prime number质数e.g.2,3,5,7,11,13,15……reciprocal倒数common divisor公约数multiple倍数(least)common multiple(最小)公倍数common factor公因子ordinary scale, decimal scale十进制nonnegative非负的tens十位units个位mode众数median中数common ratio公比7.数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列8.其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数direct proportion正比distinct不同的estimation估计，近似parentheses括号permutation排列combination组合table表格trigonometric function三角函数unit单位,位几何部分1.所有的角alternate angle内错角corresponding angle同位角vertical angle对顶角central angle圆心角interior angle内角exterior angle外角supplementary angles补角complementary angle余角adjacent angle邻角acute angle锐角obtuse angle钝角right angle直角round angle周角straight angle平角2.所有的三角形equilateral triangle等边三角形scalene triangle不等边三角形isosceles triangle等腰三角形right triangle直角三角形oblique斜三角形inscribed triangle内接三角形3.有关收敛的平面图形，除三角形外semicircle半圆concentric circles同心圆quadrilateral四边形pentagon五边形hexagon六边形heptagon七边形octagon八边形nonagon九边形decagon十边形polygon多边形parallelogram平行四边形plane平面square正方形，平方rectangle长方形regular polygon正多边形rhombus菱形trapezoid梯形4.其它平面图形arc弧line, straight line直线line segment线段parallel lines平行线segment of a circle弧形5.有关立体图形cube立方体，立方数rectangular solid长方体regular solid/regular polyhedron正多面体circular cylinder圆柱体cone圆锥sphere球体6.有关图形上的附属物altitude高depth深度side边长circumference, perimeter周长radian弧度surface area 表面积volume体积arm直角三角形的股cross section横截面center of a circle圆心chord弦radius半径angle bisector角平分线diagonal对角线diameter直径edge棱face of a solid立体的面hypotenuse斜边included side夹边leg三角形的直角边base底边，底数(e.g.2的5次方，2就是底数) opposite直角三角形中的对边midpoint中点endpoint端点vertex(复数形式vertices)顶点tangent切线的transversal截线intercept截距7.有关坐标coordinate system坐标系rectangular coordinate直角坐标系origin原点abscissa横坐标ordinate纵坐标number line数轴quadrant象限slope斜率complex plane复平面8. 其它trigonometry三角学bisect平分circumscribe外切inscribe内切intersect相交perpendicular垂直Pythagorean theorem勾股定理congruent全等的multilateral多边的一般词汇数学mathematics, maths(BrE), math(AmE) 公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.)命题proposition算术arithmetic加plus(prep.), add(v.), addition(n.)被加数augend, summand和sum减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend 减数subtrahend差remainder乘times(prep.), multiply(v.), multiplication(n.) 被乘数multiplicand,faciend乘数multiplicator积product除divided by(prep.), divide(v.), division(n.)被除数dividend除数divisor商quotient等于equals, is equalto, is equivalent to大于is greater than小于is lesser than大于等于is equal or greater than小于等于is equal or lesser than运算符operator数字digit数number自然数naturalnumber整数integer小数点decimalpoint分数fraction分子numerator分母denominator比ratio正positive负negative零null, zero, nought, nil十进制decimalsystem二进制binary system十六进制hexadecimalsystem 权weight, significance 进位carry截尾truncation四舍五入round下舍入rounddown上舍入roundup有效数字significant digit无效数字insignificantdigit代数algebra公式formula,formulae(pl.)单项式monomial多项式polynomial, multinomial未知数unknown,x-factor, y-factor, z-factor 等式，方程式equation一次方程simple equation二次方程quadratic equation三次方程cubic equation四次方程quartic equation不等式inequation阶乘factorial对数logarithm指数，幂exponent乘方power二次方，平方square三次方，立方cube四次方thepowerof four, thefourth power n 次方thepowerof n, the nthpower开方evolution, extraction二次方根，平方根square root三次方根，立方根cube root四次方根the root of four, the fourth rootn 次方根theroot of n, the nth root集合aggregate元素element空集void交集intersection并集union补集complement映射mapping函数function定义域domain, field of definition 值域range常量constant变量variable单调性monotonicity奇偶性parity周期性periodicity图象image数列，级数series微积分calculus微分differential导数derivative极限limit无穷大infinite(a.) infinity(n.)无穷小infinitesimal积分integral定积分definite integral不定积分indefinite integral无理数irrationalnumber 实数realnumber虚数imaginarynumber 复数complex number 矩阵matrix 行列式determinant几何geometry点point线line面plane体solid线段segment射线radial平行parallel相交intersect角angle角度degree弧度radian锐角acute angle直角rightangle钝角obtuseangle平角straight angle周角perigon边side高height三角形triangle锐角三角形acute triangle直角三角形righttriangle直角边leg斜边hypotenuse勾股定理Pythagorean theorem钝角三角形obtusetriangle不等边三角形scalenetriangle等腰三角形isosceles triangle等边三角形equilateral triangle四边形quadrilateral平行四边形parallelogram矩形rectangle长length宽width菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square 梯形trapezoid直角梯形righttrapezoid等腰梯形isosceles trapezoid五边形pentagon七边形heptagon八边形octagon九边形enneagon十边形decagon十一边形hendecagon十二边形dodecagon多边形polygon正多边形equilateral polygon 圆circle圆心centre(BrE), center(AmE) 半径radius 直径diameter圆周率pi弧arc半圆semicircle扇形sector环ring椭圆ellipse圆周circumference周长perimeter面积area轨迹locus, loca(pl.)相似similar四面体tetrahedron五面体pentahedron六面体hexahedron平行六面体parallelepiped 立方体cube 七面体heptahedron八面体octahedron九面体enneahedron十面体decahedron十一面体hendecahedron 十二面体dodecahedron 二十面体icosahedron多面体polyhedron棱锥pyramid棱柱prism棱台frustum of a prism旋转rotation轴axis圆锥cone圆柱cylinder圆台frustum of a cone球sphere半球hemisphere。

代数部分1。

有关基本运算：add，plus加subtract减difference差multiply，times乘product积divide除divisible可被整除的divided evenly被整除dividend被除数divisor因子，除数quotient商remainder余数factorial阶乘power乘方radical sign, root sign根号round to四舍五入to the nearest四舍五入2.有关集合union并集proper subset真子集solution set解集3.有关代数式、方程和不等式algebraic term代数项like terms，similar terms同类项numerical coefficient数字系数literal coefficient字母系数inequality不等式triangle inequality三角不等式range值域original equation原方程equivalent equation同解方程等价方程linear equation线性方程（e.g.5 x +6=22）4.有关分数和小数proper fraction真分数improper fraction假分数mixed number带分数vulgar fraction, common fraction普通分数simple fraction简分数complex fraction繁分数numerator分子denominator分母（least）common denominator(最小)公分母quarter四分之一decimal fraction纯小数infinite decimal无穷小数recurring decimal循环小数tenths unit十分位5。

基本数学概念arithmetic mean算术平均值weighted average加权平均值geometric mean几何平均数exponent指数，幂base乘幂的底数，底边cube立方数，立方体square root平方根cube root立方根common logarithm常用对数digit数字constant常数variable变量inverse function反函数complementary function余函数linear一次的,线性的factorization因式分解absolute value绝对值,e。

数学中英语专业名词Aabelian group：阿贝尔群；absolute geometry：绝对几何；absolute value：绝对值；abstract algebra：抽象代数；addition：加法；algebra：代数；algebraic closure：代数闭包；algebraic geometry：代数几何；algebraic geometry and analytic geometry：代数几何和解析几何；algebraic numbers：代数数；algorithm：算法；almost all：绝大多数；analytic function：解析函数；analytic geometry：解析几何；and：且；angle：角度；anticommutative：反交换律；antisymmetric relation：反对称关系；antisymmetry：反对称性；approximately equal：约等于；Archimedean field：阿基米德域；Archimedean group：阿基米德群；area：面积；arithmetic：算术；associative algebra：结合代数；associativity：结合律；axiom：公理；axiom of constructibility：可构造公理；axiom of empty set：空集公理；axiom of extensionality：外延公理；axiom of foundation：正则公理；axiom of pairing：对集公理；axiom of regularity：正则公理；axiom of replacement：代换公理；axiom of union：并集公理；axiom schema of separation：分离公理；axiom schema of specification：分离公理；axiomatic set theory：公理集合论；axiomatic system：公理系统；BBaire space：贝利空间；basis：基；Bézout's identity：贝祖恒等式；Bernoulli's inequality：伯努利不等式；Big O notation：大O符号；bilinear operator：双线性算子；binary operation：二元运算；binary predicate：二元谓词；binary relation：二元关系；Boolean algebra：布尔代数；Boolean logic：布尔逻辑；Boolean ring：布尔环；boundary：边界；boundary point：边界点；bounded lattice：有界格；Ccalculus：微积分学；Cantor's diagonal argument：康托尔对角线方法；cardinal number：基数；cardinality：势；cardinality of the continuum：连续统的势；Cartesian coordinate system：直角坐标系；Cartesian product：笛卡尔积；category：范畴；Cauchy sequence：柯西序列；Cauchy-Schwarz inequality：柯西不等式；Ceva's Theorem：塞瓦定理；characteristic：特征；characteristic polynomial：特征多项式；circle：圆；class：类；closed：闭集；closure：封闭性或闭包；closure algebra：闭包代数；combinatorial identities：组合恒等式；commutative group：交换群；commutative ring：交换环；commutativity:：交换律；compact：紧致的；compact set：紧致集合；compact space：紧致空间；complement：补集或补运算；complete lattice：完备格；complete metric space：完备的度量空间；complete space：完备空间；complex manifold：复流形；complex plane：复平面；congruence：同余；congruent：全等；connected space：连通空间；constructible universe：可构造全集；constructions of the real numbers：实数的构造；continued fraction：连分数；continuous：连续；continuum hypothesis：连续统假设；contractible space：可缩空间；convergence space：收敛空间；cosine：余弦；countable：可数；countable set：可数集；cross product：叉积；cycle space：圈空间；cyclic group：循环群；Dde Morgan's laws：德·摩根律；Dedekind completion：戴德金完备性；Dedekind cut：戴德金分割；del：微分算子；dense：稠密；densely ordered：稠密排列；derivative：导数；determinant：行列式；diffeomorphism：可微同构；difference：差；differentiable manifold：可微流形；differential calculus：微分学；dimension：维数；directed graph：有向图；discrete space：离散空间；discriminant：判别式；distance：距离；distributivity：分配律；dividend：被除数；dividing：除；divisibility：整除；division：除法；divisor：除数；dot product：点积；Eeigenvalue：特征值；eigenvector：特征向量；element：元素；elementary algebra：初等代数；empty function：空函数；empty set：空集；empty product：空积；equal：等于；equality：等式或等于；equation：方程；equivalence relation：等价关系；Euclidean geometry：欧几里德几何；Euclidean metric：欧几里德度量；Euclidean space：欧几里德空间；Euler's identity：欧拉恒等式；even number：偶数；event：事件；existential quantifier：存在量词；exponential function：指数函数；exponential identities：指数恒等式；expression：表达式；extended real number line：扩展的实数轴；Ffalse：假；field：域；finite：有限；finite field：有限域；finite set：有限集合；first-countable space：第一可数空间；first order logic：一阶逻辑；foundations of mathematics：数学基础；function：函数；functional analysis：泛函分析；functional predicate：函数谓词；fundamental theorem of algebra：代数基本定理；fraction：分数；Ggauge space：规格空间；general linear group：一般线性群；geometry：几何学；gradient：梯度；graph：图；graph of a relation：关系图；graph theory：图论；greatest element：最大元；group：群；group homomorphism：群同态；HHausdorff space：豪斯多夫空间；hereditarily finite set：遗传有限集合；Heron's formula：海伦公式；Hilbert space：希尔伯特空间；Hilbert's axioms：希尔伯特公理系统；Hodge decomposition：霍奇分解；Hodge Laplacian：霍奇拉普拉斯算子；homeomorphism：同胚；horizontal：水平；hyperbolic function identities：双曲线函数恒等式；hypergeometric function identities：超几何函数恒等式；hyperreal number：超实数；Iidentical：同一的；identity：恒等式；identity element：单位元；identity matrix：单位矩阵；idempotent：幂等；if：若；if and only if：当且仅当；iff：当且仅当；imaginary number：虚数；inclusion：包含；index set：索引集合；indiscrete space：非离散空间；inequality：不等式或不等；inequality of arithmetic and geometric means：平均数不等式；infimum：下确界；infinite series：无穷级数；infinite：无穷大；infinitesimal：无穷小；infinity：无穷大；initial object：初始对象；inner angle：内角；inner product：内积；inner product space：内积空间；integer：整数；integer sequence：整数列；integral：积分；integral domain：整数环；interior：内部；interior algebra：内部代数；interior point：内点；intersection：交集；inverse element：逆元；invertible matrix：可逆矩阵；interval：区间；involution：回旋；irrational number：无理数；isolated point：孤点；isomorphism：同构；JJacobi identity：雅可比恒等式；join：并运算；K格式：Kuratowski closure axioms：Kuratowski 闭包公理；Lleast element：最小元；Lebesgue measure：勒贝格测度；Leibniz's law：莱布尼茨律；Lie algebra：李代数；Lie group：李群；limit：极限；limit point：极限点；line：线；line segment：线段；linear：线性；linear algebra：线性代数；linear operator：线性算子；linear space：线性空间；linear transformation：线性变换；linearity：线性性；list of inequalities：不等式列表；list of linear algebra topics：线性代数相关条目；locally compact space：局部紧致空间；logarithmic identities：对数恒等式；logic：逻辑学；logical positivism：逻辑实证主义；law of cosines：余弦定理；L??wenheim-Skolem theorem：L??wenheim-Skolem 定理；lower limit topology：下限拓扑；Mmagnitude：量；manifold：流形；map：映射；mathematical symbols：数学符号；mathematical analysis：数学分析；mathematical proof：数学证明；mathematics：数学；matrix：矩阵；matrix multiplication：矩阵乘法；meaning：语义； measure：测度；meet：交运算；member：元素；metamathematics：元数学；metric：度量；metric space：度量空间；model：模型；model theory：模型论；modular arithmetic：模运算；module：模；monotonic function：单调函数；multilinear algebra：多重线性代数；multiplication：乘法；multiset：多样集；Nnaive set theory：朴素集合论；natural logarithm：自然对数；natural number：自然数；natural science：自然科学；negative number：负数；neighbourhood：邻域；New Foundations：新基础理论；nine point circle：九点圆；non-Euclidean geometry：非欧几里德几何；nonlinearity：非线性；non-singular matrix：非奇异矩阵；nonstandard model：非标准模型；nonstandard analysis：非标准分析；norm：范数；normed vector space：赋范向量空间；n-tuple：n 元组或多元组；nullary：空；nullary intersection：空交集；number：数；number line：数轴；Oobject：对象；octonion：八元数；one-to-one correspondence：一一对应；open：开集；open ball：开球；operation：运算；operator：算子；or：或；order topology：序拓扑；ordered field：有序域；ordered pair：有序对；ordered set：偏序集；ordinal number：序数；ordinary mathematics：一般数学；origin：原点；orthogonal matrix：正交矩阵；Pp-adic number：p进数；paracompact space：仿紧致空间；parallel postulate：平行公理；parallelepiped：平行六面体；parallelogram：平行四边形；partial order：偏序关系；partition：分割；Peano arithmetic：皮亚诺公理；Pedoe's inequality：佩多不等式；perpendicular：垂直；philosopher：哲学家；philosophy：哲学；philosophy journals：哲学类杂志；plane：平面；plural quantification：复数量化；point：点；Point-Line-Plane postulate：点线面假设；polar coordinates：极坐标系；polynomial：多项式；polynomial sequence：多项式列；positive-definite matrix：正定矩阵；positive-semidefinite matrix：半正定矩阵；power set：幂集；predicate：谓词；predicate logic：谓词逻辑；preorder：预序关系；prime number：素数；product：积；proof：证明；proper class：纯类；proper subset：真子集；property：性质；proposition：命题；pseudovector：伪向量；Pythagorean theorem：勾股定理；QQ.E.D.：Q.E.D.；quaternion：四元数；quaternions and spatial rotation：四元数与空间旋转；question：疑问句；quotient field：商域；quotient set：商集；Rradius：半径；ratio：比；rational number：有理数；real analysis：实分析；real closed field：实闭域；real line：实数轴；real number：实数；real number line：实数线；reflexive relation：自反关系；reflexivity：自反性；reification：具体化；relation：关系；relative complement：相对补集；relatively complemented lattice：相对补格；right angle：直角；right-handed rule：右手定则；ring：环；Sscalar：标量；second-countable space：第二可数空间；self-adjoint operator：自伴随算子；sentence：判断；separable space：可分空间；sequence：数列或序列；sequence space：序列空间；series：级数；sesquilinear function：半双线性函数；set：集合；set-theoretic definition of natural numbers：自然数的集合论定义；set theory：集合论；several complex variables：一些复变量；shape：几何形状；sign function：符号函数；singleton：单元素集合；social science：社会科学；solid geometry：立体几何；space：空间；spherical coordinates：球坐标系；square matrix：方块矩阵；square root：平方根；strict：严格；structural recursion：结构递归；subset：子集；subsequence：子序列；subspace：子空间；subspace topology：子空间拓扑；subtraction：减法；sum：和；summation：求和；supremum：上确界；surreal number：超实数；symmetric difference：对称差；symmetric relation：对称关系；system of linear equations：线性方程组；Ttensor：张量；terminal object：终结对象；the algebra of sets：集合代数；theorem：定理；top element：最大元；topological field：拓扑域；topological manifold：拓扑流形；topological space：拓扑空间；topology：拓扑或拓扑学；total order：全序关系；totally disconnected：完全不连贯；totally ordered set：全序集；transcendental number：超越数；transfinite recursion：超限归纳法；transitivity：传递性；transitive relation：传递关系；transpose：转置；triangle inequality：三角不等式；trigonometric identities：三角恒等式；triple product：三重积；trivial topology：密着拓扑；true：真；truth value：真值；Uunary operation：一元运算；uncountable：不可数； uniform space：一致空间；union：并集；unique：唯一；unit interval：单位区间；unit step function：单位阶跃函数；unit vector：单位向量；universal quantification：全称量词；universal set：全集；upper bound：上界；Vvacuously true：??；Vandermonde's identity：Vandermonde 恒等式；variable：变量；vector：向量；vector calculus：向量分析；vector space：向量空间；Venn diagram：文氏图；volume：体积；von Neumann ordinal：冯·诺伊曼序数；von Neumann universe：冯·诺伊曼全集；vulgar fraction：分数；ZZermelo set theory：策梅罗集合论；Zermelo-Fraenkel set theory：策梅罗-弗兰克尔集合论；ZF set theory：ZF 系统；zero：零；zero object：零对象；。