数学词汇中英对照初等数学elementary mathematics高等数学higher mathematics现代数学modern mathematics基础数学basic mathematics应用数学applied mathematics计算数学computational mathematics复变函数论theory of functions of a complex variable 实变函数论theory of functions of a real variable泛函分析functional analysis数理逻辑mathematical logic数理统计mathematical statistics常微分方程ordinary differential equation偏微分方程partial differential equation数理方程equation of mathematical physics代数拓扑学algebraic topology集合论set theory拓扑空间topological概率论probability随机过程stochastic process李群Lie group数论number theory图论graph theory编码理论coding theory混沌理论chaotic theory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方程wave equation 波动方程tangental equation 切线方程quartic equation 四次方程式quadratic equation 二次方程式magnitude equation 【天】星等差linear equation 一次方程式irreducible equation 不可约方程integral equation 积分方程indicial equation 【数】指数方程indeterminate equation 不定方程集合与简易逻辑集合（集）set非负整数集the set of all non-negative integers 自然数集the set of all natural numbers正整数集the set of all positive integers整数集the set of all integers有理数集the set of all rational numbers实数集the set of all real numbers元素element属于belong to不属于not belong to有限集finite set无限集infinite set空集empty set包含inclusion, include包含于lie in子集subset真子集proper subset补集（余集）complementary set全集universe交集intersection并集union偶数集the set of all even numbers奇数集the set of all odd numbers含绝对值的不等式inequality with absolute value一元二次不等式one-variable quadratic inequality 逻辑logic逻辑联结词logic connective或or且and非not真true假false真值表truth table原命题original proposition逆命题converse proposition否命题negative proposition逆否命题converse-negative proposition充分条件sufficient condition必要条件necessary condition充要条件sufficient and necessary condition ……的充要条件是…… … if and only if …函数函数function自变量argument定义域domain值域range区间interval闭区间closed interval开区间open interval函数的图象graph of function 映射mapping象image原象inverse image单调monotone增函数increasing function 减函数decreasing function 单调区间monotone interval 反函数inverse function指数exponentn次方根n th root根式radical根指数radical exponent 被开方数radicand指数函数exponential function 对数logarithm常用对数common logarithm 自然对数natural logarithm对数函数logarithmic function数列数列sequence of number项term通项公式the formula of general term 有穷数列finite sequence of number 无穷数列infinite sequence of number 递推公式recurrence formula等差数列arithmetic progression ，arithmetic series公差common difference等差中项arithmetic mean等比数列geometric progression，geometric series公比common ratio等比中项geometric mean三角函数三角函数trigonometric function 始边initial side终边terminal side正角positive angle负角negative angle零角zero angle象限角quadrant angle弧度radian弧度制radian measure角度制degree measure正弦sine余弦cosine正切tangent余切cotangent正割secant余割cosecant诱导公式induction formula正弦曲线sine curve余弦曲线cosine curve最大值maximum最小值minimum周期period最小正周期minimal positive period 周期函数periodic function振幅amplitude of vibration 频率frequency相位phase初相initial phase反正弦arc sine反余弦arc cosine反正切arc tangent平面向量有向线段directed line segment数量scalar quantity向量vector零向量zero vector相等向量equal vector共线向量collinear vectors平行向量parallel vectors向量的数乘multiplication of vector by scalar 单位向量unit vector基底base基向量base vectors平移translation数量积inner product正弦定理sine theorem余弦定理cosine theorem不等式算术平均数arithmetic mean几何平均数geometric mean比较法method of compare 综合法method of synthesis 分析法method of analysis直线倾斜角angle of inclination斜率gradient点斜式point slope form截距intercept斜截式gradient intercept form 两点式two-point form一般式general form夹角included angle线性规划linear programming约束条件constraint condition目标函数objective function可行域feasible region最优解optimal solution圆锥曲线曲线curve坐标法method of coordinate 解析几何analytic geometry笛卡儿Descartes标准方程standard equation一般方程general equation参数方程parameter equation参数parameter圆锥曲线point conic椭圆ellipse焦点focus, focal points 焦距focal length长轴major axis短轴minor axis离心率eccentricity双曲线hyperbola实轴real axis虚轴imaginary axis渐近线asymptote抛物线parabola准线directrix。