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Jingdong book

数理经济学的基本方法（第4版）

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Jingdong book

数理经济学的基本方法（第4版）

Name: 数理经济学的基本方法（第4版）
Brand: Jingdong book
SKU: 3101010271
Price: 35.61 USD
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《数理经济学的基本方法（第4版）》结合数学方法在经济学中的应用，由浅人深、循序渐进地阐述了矩阵代数、导数与微分、积分学、微分方程与差分方程、最优控制理论等经济学中使用的主要数学方法。全书省略了过于艰深的数学证明，而将重点放在数学方法的经济应用上，书中穿插了大量的例题与习题，从而适用于致力于学习基本数学方法的经济学专业的学生，也适于学生自学。

Content Description

《数理经济学的基本方法（第4版）》是为那些致力于学习基本数学方法的经济学专业的学生而写的，自首次出版以来已获得国内外使用者的广泛认可，是一本经典的数理经济学教科书。本书涵盖如下主要的经济分析内容：静态(均衡分析)、比较静态学、最优化问题(静态学的一种特例)、动态学和动态规划。在保持以前版本的主要目的、风格、结构的基础上，第4版主要作了以下几项改进：一是将数学规划问题放在了第13章，定名为“优化问题的其他主题”；二是新增了第20章关于最优控制理论的内容；另外，对部分习题也进行了重新编排，使其在帮助巩固掌握的知识的同时，更能激发学生的自信，给予学生一个更好的表现能力的机会。

Author Description

蒋中一（Alpha C.Chiang），美国康涅狄格大学荣誉教授。

Catalogue

第一篇导论
第1章数理经济学的实质
1.1数理经济学与非数理经济学
1.2数理经济学与经济计量学
第2章经济模型
2.1数学模型的构成
2.2实数系
2.3集合的概念
2.4关系与函数
2.5函数的类型
2.6两个或两个以上自变量的函数
2.7一般性水平
第二篇静态(或均衡)分析
第3章经济学中的均衡分析
3.1均衡的含义
3.2局部市场均衡——线性模型
3.3局部市场均衡——非线性模型
3.4一般市场均衡
3.5国民收入分析中的均衡
第4章线性模型与矩阵代数
4.1矩阵与向量
4.2矩阵运算
4.3对向量运算的注释
4.4交换律、结合律、分配律
4.5单位矩阵与零矩阵
4.6矩阵的转置与逆
4.7有限马尔可夫链
第5章线性模型与矩阵代数(续)
5.1矩阵非奇异性的条件
5.2用行列式检验非奇异性
5.3行列式的基本性质
5.4求逆矩阵
5.5克莱姆法则
5.6克莱姆法则在市场模型和国民收入模型中的应用
5.7里昂惕夫投入一产出模型
5.8静态分析的局限性
第三篇比较静态分析
第6章比较静态学与导数的概念
6.1比较静态学的性质
6.2变化率与导数
6.3导数与曲线的斜率
6.4极限的概念
6.5关于不等式和绝对值的题外讨论
6.6极限定理
6.7函数的连续性与可微性
第7章求导法则及其在比较静态学中的应用
7.1一元函数的求导法则
7.2相同变量的两个或两个以上函数的求导法则
7.3包含不同自变量的函数的求导法则
7.4偏微分
7.5导数在比较静态分析中的应用
7.6雅可比行列式的注释
第8章一般函数模型的比较静态分析
8.1微分
8.2全微分
8.3微分法则
8.4全导数
8.5隐函数的导数
8.6一般函数模型的比较静态学
8.7比较静态学的局限性
第四篇最优化问题
第9章最优化：一类特殊的均衡分析
9.1最优值与极值
9.2相对极大值和极小值：一阶导数检验
9.3二阶及高阶导数
9.4二阶导数检验
9.5麦克劳林级数与泰勒级数
9.6一元函数相对极值的n阶导数检验
第10章指数函数与对数函数
10.1指数函数的性质
10.2自然指数函数与增长问题
10.3对数
10.4对数函数
10.5指数函数与对数函数的导数
10.6最优时间安排
10.7指数函数与对数函数导数的进一步应用
第11章多于一个选择变量的情况
11.1最优化条件的微分形式
11.2两个变量函数的极值
11.3二次型——偏离主题的讨论
11.4.具有多于两个变量的目标函数
11.5与函数凹性和凸性相关的二阶条件
11.6经济应用
11.7最优化的比较静态方面
第12章具有约束方程的最优化
12.1约束的影响
12.2求稳定值
12.3二阶条件
12.4拟凹性与拟凸性
12.5效用最大化与消费需求
12.6齐次函数
12.7.投入的最小成本组合
第13章最优化问题的其他主题
13.1非线性规划和库恩一塔克条件
13.2约束规范
13.3经济应用
13.4非线性规划中的充分性定理
135极大值函数和包络定理
13.6对偶和包络定理
137一些结论性评论
第五篇动态分析
第14章动态经济学与积分学
14.1动态学与积分
14.2不定积分
14.3定积分
14.4广义积分
14.5积分的经济应用
14.6多马增长模型
第15章连续时间：一阶微分方程
15.1具有常系数和常数项的一阶线性微分方程
15.2汀场价格的动态学
15.3可变系数和可变项
15.4恰当微分方程
15.5一阶一次非线性微分方程
15.6定性图解法
15.7索洛增长模型
第16章高阶微分方程
16.1具有常系数和常数项的二阶线性微分方程
16.2复数和三角函数
16.3复根情况的分析
16.4具有价格预期的市场模型
16.5通货膨胀与失业的相互作用
16.6具有可变项的微分方程
16.7高阶线性微分方程
第17章离散时间：一阶差分方程
17.1离散时间、差分与差分方程
17.2解一阶差分方程
17.3均衡的动态稳定性
17.4蛛网模型
17.5一个具有存货的市场模型
17.6非线性差分方程——定性图解法
第18章高阶差分方程
18.1具有常系数和常数项的二阶线性差分方程
18.2萨缪尔森乘数一加速数相互作用模型
18.3离散时间条件下的通货膨胀与失业
18.4推广到可变项和高阶方程
第19章联立微分方程与差分方程
19.1动态方程组的起源
19.2解联立动态方程
19.3动态投入一产出模型
19.4对通货膨胀一失业模型的进一步讨论
19.5双变量相位图
19.6非线性微分方程组的线性化
第20章最优控制理论
20.1最优控制的特性
20.2其他终止条件
20.3自治问题
20.4经济应用
20.5无限时间跨度
20.6动态分析的局限性
附录I 希腊字母
附录Ⅱ 数学符号
附录Ⅲ 主要参考文献
附录Ⅳ 部分习题答案
附录V 索引

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