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Jingdong book

经济数学引论

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Books Economy Economic Theory

Jingdong book

经济数学引论

Name: 经济数学引论
Brand: Jingdong book
SKU: 3110034021
Price: 33.88 USD
Availability: OutOfStock

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Content Description

你是有志于学术的经济学专业学生。你以后希望从事宏观计量的经验研究，所以你希望理解动态规划方法。于是你找到了最经典的动态规划教材，斯托基和卢卡斯的《经济动态的递归方法》。你雄心勃勃地下定决心，一定要把这本书啃完。但很快，悲催的事情发生了：你发现自己，看！不！懂！T_T。。。你就是无法看懂《经济动态的递归方法》这本书，怎么办？你没有数学背景，还想研究经济学，怎么办？你只学过高数、线性代数和概率论，怎么样才能学好动态递归，并用来建模呢？现在可以告诉你，你完全可能做到。你读不懂的原因，只是因为你没有遵循数学学习的规律。本书作者发现他们的研究生之所以看不懂卢卡斯的书，是因为缺乏足够的数学基础准备。因此他们决定写一本书为学生提供一个学习的桥梁。你手上拿到的就是这本书。它的起点等同于中国经济类本科水平，通过这座桥梁，你可以轻松抵达卢卡斯的动态递归方法，步入高级数理经济学的殿堂。本书系统介绍了经济学与计量经济学中会用到的数学分析方法，填补了经济学本科生的数学水平与今日经济学研究中涉及的高深数学之间的空白。与其他的经济数学教材不同，本书利用度量完备性定理，为基本的空间与较高深的空间提供了一种统一的理解。本书的另一大特色是关注计量经济学的数学基础，且提供了所有定理的证明。为了将较难理解的概念解释清楚，作者从本科生能够理解的数学分析及经济学案例讲起。这会为读者建立一种直觉，拥有这种直觉，读者将不再对经济研究中的复杂分析感到惧怕。讲解透彻，推导严密，自成体系，这本书将在读者从经济学学生成长为研究者的过程中助一臂之力。

Author Description

迪安。科尔贝，Dean Corbae，得克萨斯大学奥斯汀分校Rex A．与Dorothy B．Sebastian百年讲席工商管理教授。

马克斯韦尔·B.斯廷奇库姆，Maxwell B．Stinchcombe，得克萨斯大学奥斯汀分校E．C．McCarty百年讲席经济学教授。

尤拉伊·泽曼，Juraj Zeman，斯洛伐克央行研究员，斯洛伐克考门斯基大学应用数学讲师。

Comments

★这本书既是研究生亟需的教材，也是研究者有用的桌面参考书。这本书对经济学科有巨大的价值，因为它在抽象的数学推理与具体的经济学应用之间架起了桥梁。考虑到今日经济学研究的技术化趋势，本书介绍的这些知识对研究生来说是必不可少的。
——洪翰，斯坦福大学

★我讲授经济数学课程已经多年，一直苦于找不到合适的教材。这本书帮我把问题解决了，它也填补了经济学科十多年以来的一个空白。
——L.JoeMoffitt，马萨诸塞大学

★如果你既希望以简明、直观的方式学习数理经济学，又希望掌握较高阶的概念，你会发现这本书极其有用。此书内容之丰富，案例之精当，令人印象深刻。的确是一本优秀的教材！
——JaksaCvitanic，加州理工学院

★这本书深入浅出地介绍了经济学中会用到的大量数学工具。作者通过举例说明的方式，把艰深的内容处理得十分平易近人。对经济学家来说，这是一本重要的参考书；对上数学课程的经济学研究生而言，这又是本很好的教材。
——TrumanF.Bewley，耶鲁大学

Catalogue

前言
阅读指南
符号标记系统
1 逻辑
1．1 命题、集合、子集和推论
1．2 命题及其真值
1．3 证明：一个简述
1．4 逻辑量词
1．5 证明的分类

2 集合论
2．1 一些简单例题
2．2 基本概念及原理
2．3 积、关系、对应及函数
2．4 等价关系
2．5 有限集的最优选择
2．6 像、逆像与复合函数
2．7 弱序、偏序和格
2．8 最优规划的单调变换：超模态与格
2．9 塔尔斯基格不动点定理与稳定匹配
2．10 有限集和无限集
2．11 选择公理及其相关等价结论
2．12 显示偏好与可理性化
2．13 超结构
2．14 参考书目
2．15 章末问题

3 实数空间
3．1 为什么仅仅有理数还不够
3．2 有理数的基本性质
3．3 距离、柯西列与实数
3．4 实数的完备性
3．5 完备性的运用实例
3．6 上确界与下确界
3．7 可加性
3．8 序列的积分e
3．9 耐心、上极限与下极限
3．10 关于有理数完全化的一些观点
3．11 参考书目

4 实向量的有限维度量空间
4．1 度量空间的基本定义
4．2 离散空间
4．3 作为赋范向量空间的R
4．4 完备性
4．5 闭包、收敛与完备性
4．6 可分离性
4．7 R的紧致性
4．8 R上的连续函数
4．9 利普希茨与一致连续性
4．10 对应与最大值定理
4．11 巴拿赫压缩映射定理
4．12 连通性
4．13 参考书目

5 有限维凸分析
5．1 凸性的基本几何性质
5．2 R的双重空间
5．3 三种程度的凸分离
5．4 强分离和新古典对偶性质
5．5 边界问题
5．6 凹函数与凸函数
5．7 分离定理与哈恩一巴拿赫定理
5．8 分离性与库恩一塔克定理
5．9 拉格朗日乘子的解释
5．10 可微性与凹性
5．11 不动点定理与一般均衡理论
5．12 关于纳什均衡和完美均衡的不动点定理
5．13 参考书目

6 度量空间
6．1 紧集空间与最大化定理
6．2 连续函数空间
6．3 累积分布函数空间D(R)
6．4 M为紧致集c(M)的近似性质
6．5 作为近似理论的回归分析
6．6 可计算的乘积空间与序列空间
6．7 基于扩张定义的隐函数
6．8 度量完全化定理
6．9 勒贝格测度空间
6．10 参考书目
6．1l 章末问题

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Jingdong book

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