高等数学——基本名词

函数function

定义域domain of definition

值域range of function

极限limit

极限值limit value

发散diverge

收敛converge

连续性continuity

连续函数continuous funcion

左连续continuity from the left

开集open set

闭集closed set

闭区间closed interval

区间interval

一元函数function of one variable

多元函数function of several variables 内点inner point

孤立点isolated point

领域neighborhood

导数derivative

偏导数partial derivative

微分differential calculus

全微分total differential

偏微分partial differential

积分integral

重积分infinitesimal calculus

二重积分double integral

逆时针方向counterclockwise

轴axis

象限quadrant

变量variable

常量constant quentity

坐标轴axis of coordinates

横坐标abscissa

纵坐标ordinate

锐角acute angle

钝角obtuse angle

平角straight angle

直角right angle

圆circle

半径radius

直径diameter

三角形triangle

斜率slope

无穷小infinitesimal

无穷大intinite

正positive

负negative

凸convex

凹concave

椭圆ellipse

双曲线hyperbola

曲线curve

曲面surface

交intersection

三重积分threefold integral

补集complement

中值定理law of the mean

投影project

极值extreme values

等差级数arithmetical progression

定积分definite integral

几何级数geometric progression

不定积分indefinite integral

公理axioms

曲线积分curvilinear integral

定义definition

曲面积分surface integral

定理theorem

级数progression

集合set

数列sequence

元素element

微分方程differential equations

空集empty

常微分方程partial differential equation 子集subset

偏微分方程partial differential equation 相等equal

差分方程difference equation

常数constant

特征方程characteristic equation

对数logarithm

间断点discontinuity point

指数exponential

渐近线asymptote

曲率curvature

切线tangent line

曲率圆circle of curvature

切线方程tangential equation

曲率半径radius of curvature

法线normal line

切平面tangent plane

螺旋线helices

法平面normal plane

拐点point of inflexion

幂级数power series

绝对收敛absolutely convergence 收敛半径convergence radius

条件收敛conditional convergence 收敛区间convergence interval

和函数sum function

收敛区域convergence region

解solution

通解general solution

初始条件initial condition

特解special solution

条件极值conditional extremum

阶order