救急!继续翻译!请将该目录翻译成英文,不甚感激 第一章函数§1.1 预备知识§1.2 函数的概念§1.3 函数的几何特征
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救急!继续翻译!
请将该目录翻译成英文,不甚感激
第一章函数
§1.1 预备知识
§1.2 函数的概念
§1.3 函数的几何特征
§1.4 反函数
§1.5 复合函数
§1.6 初等函数
§1.7 简单函数关系的建立
第二章极限与连续
§2.1 数列的极限
§2.2 函数极限
§2.3 函数极限的性质及运算法则
§2.4 无穷大量与无穷小量
§2.5 函数的连续性
§2.6 闭区间上连续函数的性质
第三章导数与微分
§3.1 导数概念
§3.2 导数运算与导数公式
§3.3 复合函数求导法则
§3.4 微分及其计算
§3.5 高阶导数与高阶微分
§3.6 导数与微分在经济学中的简单应用
第四章中值定理与导数的应用
§4.1 微分中值定理
§4.2 泰勒公式
§4.3 洛必达法则
§4.4 函数的单调性与凹凸性
§4.5 函数的极值与最大(小)值
§4.6 函数作图
第五章不定积分
§5.1 原函数与不定积分的概念
§5.2 基本积分公式
§5.3 换元积分法
§5.4 分部积分法
第六章定积分
§6.1 定积分的概念与性质
§6.2 微积分基本定理
§6.3 定积分的换元积分法与分部积分法
§6.4 定积分的应用
§6.5 反常积分初步
第七章多元函数微积分学
§7.1 预备知识
§7.2 多元函数的概念
§7.3 方向导数、偏导数与全微分
§7.4 多元复合函数与隐函数微分法
§7.5 高阶偏导数与高阶全微分
§7.6 多元函数的极值
§7.7 二重积分
第八章无穷级数
§8.1 常数项级数的概念和性质
§8.2 正项级数
§8.3 任意项级数
§8.4 幂级数
第九章微分方程初步
§9.1 微分方程的基本概念
§9.2 一阶微分方程
§9.3 二阶常系数线性微分方程
§9.4 微分方程在经济学中的应用
第十章差分方程
§10.1 差分方程的基本概念
§10.2 一阶常系数线性差分方程
§10.3 二阶常系数线性差分方程
§10.4 差分方程在经济学中的简单应用
请将该目录翻译成英文,不甚感激
第一章函数
§1.1 预备知识
§1.2 函数的概念
§1.3 函数的几何特征
§1.4 反函数
§1.5 复合函数
§1.6 初等函数
§1.7 简单函数关系的建立
第二章极限与连续
§2.1 数列的极限
§2.2 函数极限
§2.3 函数极限的性质及运算法则
§2.4 无穷大量与无穷小量
§2.5 函数的连续性
§2.6 闭区间上连续函数的性质
第三章导数与微分
§3.1 导数概念
§3.2 导数运算与导数公式
§3.3 复合函数求导法则
§3.4 微分及其计算
§3.5 高阶导数与高阶微分
§3.6 导数与微分在经济学中的简单应用
第四章中值定理与导数的应用
§4.1 微分中值定理
§4.2 泰勒公式
§4.3 洛必达法则
§4.4 函数的单调性与凹凸性
§4.5 函数的极值与最大(小)值
§4.6 函数作图
第五章不定积分
§5.1 原函数与不定积分的概念
§5.2 基本积分公式
§5.3 换元积分法
§5.4 分部积分法
第六章定积分
§6.1 定积分的概念与性质
§6.2 微积分基本定理
§6.3 定积分的换元积分法与分部积分法
§6.4 定积分的应用
§6.5 反常积分初步
第七章多元函数微积分学
§7.1 预备知识
§7.2 多元函数的概念
§7.3 方向导数、偏导数与全微分
§7.4 多元复合函数与隐函数微分法
§7.5 高阶偏导数与高阶全微分
§7.6 多元函数的极值
§7.7 二重积分
第八章无穷级数
§8.1 常数项级数的概念和性质
§8.2 正项级数
§8.3 任意项级数
§8.4 幂级数
第九章微分方程初步
§9.1 微分方程的基本概念
§9.2 一阶微分方程
§9.3 二阶常系数线性微分方程
§9.4 微分方程在经济学中的应用
第十章差分方程
§10.1 差分方程的基本概念
§10.2 一阶常系数线性差分方程
§10.3 二阶常系数线性差分方程
§10.4 差分方程在经济学中的简单应用
Chapter 1 function
§ 1.1 prior knowledge
The concept of § 1.2 Functions
§ 1.3 function of the geometric characteristics
§ 1.4 inverse function
§ 1.5 composite function
§ 1.6 Elementary Functions
§ 1.7 simple function of the establishment of relations
Chapter II limit and continuous
§ 2.1 series Limit
§ 2.2 Limit Function
§ 230 limit the nature and function algorithms
§ 2.4 endless large and Infinitesimal
§ 2.5 continuity function
§ 260 closed interval on the nature of continuous function
Chapter III derivative and differential
§ 3.1 derivative concept
§ 3.2 Derivative computing and derivative formula
§ 3.3 composite function derivation rules
§ 3.4 and the calculated differential
§ 3.5 higher derivative and high differential
§ 3.6 derivative and differential in the application of simple economics
Chapter IV intermediate value theorem and Derivative Application
§ 4.1 differential in the value theorem
§ 4.2 Taylor formula
Luo will § 4.3 of law
§ 4.4 Functions of monotonous and embossing
§ 4.5 and the maximum function extremum (small) value
§ 4.6 Mapping Functions
Chapter V Indefinite Integral
§ 5.1 original function and the concept of indefinite integral
§ 5.2 basic integral formula
§ 5.3 yuan for integration
§ 5.4 Integration by Parts
Chapter VI integral
§ 6.1 integral nature of the concept and
§ 6.2 FUNDAMENTAL THEOREM OF CALCULUS
§ 6.3 points for the integral method and Integration by Parts
§ 6.4 for Application Integration
§ 6.5 points preliminary unusual
Chapter VII of multiple function Calculus
§ 7.1 prior knowledge
§ function of the concept of over 7.2 yuan
§ 7.3 directional derivative,and the partial derivative of the total differential
§ over 7.4 yuan composite function and implicit function of differential
§ 7.5 and higher order partial derivatives of the high-end total differential
§ over 7.6 yuan function extremum
§ 7.7 Double Integral
Chapter VIII Infinite Series
§ 8.1 constants of the series and the concept of nature
§ 8.2 is Series
§ 8.3 arbitrary Series
§ 8.4 Power Series
Chapter IX of the initial differential equations
§ 9.1 The basic concept of differential equations
§ 9.2 the first order differential equation
§ 9.3 second constant coefficient of linear differential equations
§ 9.4 differential equations in the application of economics
Chapter 10 of differential equations
§ 10.1 The basic concept of differential equations
§ 10.2 constant coefficient of linear first-order differential equation
§ 10.3 second constant coefficient of linear differential equations
§ 10.4 differential equations in a simple application of economics
§ 1.1 prior knowledge
The concept of § 1.2 Functions
§ 1.3 function of the geometric characteristics
§ 1.4 inverse function
§ 1.5 composite function
§ 1.6 Elementary Functions
§ 1.7 simple function of the establishment of relations
Chapter II limit and continuous
§ 2.1 series Limit
§ 2.2 Limit Function
§ 230 limit the nature and function algorithms
§ 2.4 endless large and Infinitesimal
§ 2.5 continuity function
§ 260 closed interval on the nature of continuous function
Chapter III derivative and differential
§ 3.1 derivative concept
§ 3.2 Derivative computing and derivative formula
§ 3.3 composite function derivation rules
§ 3.4 and the calculated differential
§ 3.5 higher derivative and high differential
§ 3.6 derivative and differential in the application of simple economics
Chapter IV intermediate value theorem and Derivative Application
§ 4.1 differential in the value theorem
§ 4.2 Taylor formula
Luo will § 4.3 of law
§ 4.4 Functions of monotonous and embossing
§ 4.5 and the maximum function extremum (small) value
§ 4.6 Mapping Functions
Chapter V Indefinite Integral
§ 5.1 original function and the concept of indefinite integral
§ 5.2 basic integral formula
§ 5.3 yuan for integration
§ 5.4 Integration by Parts
Chapter VI integral
§ 6.1 integral nature of the concept and
§ 6.2 FUNDAMENTAL THEOREM OF CALCULUS
§ 6.3 points for the integral method and Integration by Parts
§ 6.4 for Application Integration
§ 6.5 points preliminary unusual
Chapter VII of multiple function Calculus
§ 7.1 prior knowledge
§ function of the concept of over 7.2 yuan
§ 7.3 directional derivative,and the partial derivative of the total differential
§ over 7.4 yuan composite function and implicit function of differential
§ 7.5 and higher order partial derivatives of the high-end total differential
§ over 7.6 yuan function extremum
§ 7.7 Double Integral
Chapter VIII Infinite Series
§ 8.1 constants of the series and the concept of nature
§ 8.2 is Series
§ 8.3 arbitrary Series
§ 8.4 Power Series
Chapter IX of the initial differential equations
§ 9.1 The basic concept of differential equations
§ 9.2 the first order differential equation
§ 9.3 second constant coefficient of linear differential equations
§ 9.4 differential equations in the application of economics
Chapter 10 of differential equations
§ 10.1 The basic concept of differential equations
§ 10.2 constant coefficient of linear first-order differential equation
§ 10.3 second constant coefficient of linear differential equations
§ 10.4 differential equations in a simple application of economics
救急!继续翻译!请将该目录翻译成英文,不甚感激 第一章函数§1.1 预备知识§1.2 函数的概念§1.3 函数的几何特征
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