Economic Mathematics
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Summary
Editor's review
From a professional perspective, the core value of this book lies in its clear positioning and pragmatic organization. It is neither a pure work of mathematical theory nor a mere economics reader; rather, it focuses on the core mathematical tools frequently used in economic research—such as calculus, linear algebra, probability theory, and mathematical statistics—and explains how these tools are applied to the construction, analysis, and solution of economic models. This problem-oriented approach means that mathematical knowledge is no longer an abstract game of symbols but a "key" to solving real economic problems. The book typically includes numerous worked examples and case analyses drawn from classic economic models (such as consumer choice, firm production, market equilibrium, and optimization problems), which effectively help readers understand the economic meaning behind mathematical formulas.
In terms of depth, the book strives for balance. It assumes that readers have a foundation in elementary mathematics, so the core concepts of higher mathematics are explained in considerable detail, avoiding an excessively steep learning curve. At the same time, it accommodates the advanced mathematical needs of subsequent courses in economics (such as intermediate microeconomics and econometrics), laying the groundwork for further study. For readers who wish to understand the analytical framework of modern economics rigorously, mastering the content of this book is an essential first step.
Overall, this is a rigorous and highly practical textbook for both introductory and intermediate study. It is well suited to learners who are not content with qualitative descriptions of economics and wish to understand economic phenomena in a more precise and logical way. Through systematic study of this book, readers will not only improve their mathematical ability to solve economic problems but also deepen their understanding of economic theory itself and develop a rigorous way of economic thinking.
Who it's for
A good fit for
- Undergraduate or graduate students majoring in economics, finance, management, and related fields, using it as a core mathematics textbook or reference.
- Readers who already have some basic knowledge of economics and wish to improve their quantitative analysis skills in order to read more advanced economics literature.
- Professionals who need to use mathematical models for economic or business analysis in their work, for consolidating and organizing relevant knowledge.
- Self-learners with a strong interest in economics who are willing to invest effort in systematically studying its mathematical tools.
Not a good fit for
- General readers who only wish to learn economic stories and qualitative conclusions and are intimidated by or uninterested in mathematical formulas and derivations.
- Senior researchers who have already mastered advanced courses such as higher mathematics and real analysis and are seeking applications of cutting-edge mathematical methods in economics (the content of this book may be too basic for them).
Reading tips
- It is recommended to study the chapters in order, ensuring that the concepts in each chapter become the foundation for the next, and not to skip ahead.
- Be sure to work through the worked examples and exercises in the book by hand; this is the key step to internalizing the knowledge.
- Read alongside a classic intermediate microeconomics textbook to see intuitively how mathematical tools are applied in specific economic theory analysis.
About the publisher
The Publishing House of Electronics Industry is a comprehensive publisher distinguished by its focus on electronic information and related fields. Judging from the more than 3,000 titles in its catalogue, its publishing covers programming and design, artificial intelligence, computer science, finance and economics, photography, and social sciences, attending both to cutting-edge technology and to general readers. Representative titles include Factor Investing: Methods and Practice, x86 Assembly Language: From Real Mode to Protected Mode, The RISC-V Reader, Artificial Intelligence: Speech Recognition, Understanding and Practice, Phased Array Radar Technology, Radar Target Characteristics, and 100 Go Mistakes and How to Avoid Them, most of which centre on technical methods and engineering practice. Its authors include Shi Chuan, Li Zhong, Wang Xiaobo, David Patterson, Andrew Waterman, and Yu Zihao, among others from China and abroad. Owing to limited public information, no further publishing features are elaborated here.
Contents
- 版权信息
- 前言
- 第1篇 微积分
- 第1章 函数
- 1.1 函数的概念
- 1.2 函数的性质
- 1.3 反函数
- 1.4 初等函数
- 1.5 常用经济函数
- 本章小结
- 第2章 极限与连续
- 2.1 极限的概念
- 2.2 无穷小量与无穷大量
- 2.3 极限的运算
- 2.4 函数的连续性
- 本章小结
- 第3章 导数与微分
- 3.1 导数的概念
- 3.2 导数计算
- 3.3 复合函数的求导法则
- 3.4 微分及其应用
- 3.5 导数在经济学中的应用
- 本章小结
- 第4章 导数的应用
- 4.1 拉格朗日中值定理与函数的单调性
- 4.2 函数的极值与最值
- 4.3 曲线的凹凸与拐点
- 4.4 洛必达法则
- 4.5 极值原理在经济分析中的应用举例
- 本章小结
- 第5章 不定积分
- 5.1 不定积分的概念与基本运算
- 5.2 不定积分的换元积分法
- 5.3 不定积分的分部积分法
- 5.4 不定积分的应用
- 本章小结
- 第6章 定积分及其应用
- 6.1 定积分的概念与性质
- 6.2 微积分基本定理（牛顿—莱布尼茨公式）
- 6.3 定积分的计算
- 6.4 广义积分
- 6.5 定积分的应用
- 本章小结
- 第7章 常微分方程
- 7.1 常微分方程的基本概念
- 7.2 一阶微分方程
- 7.3 二阶常系数线性微分方程
- 本章小结
- 第2篇 线性代数
- 第8章 行列式
- 8.1 行列式的定义
- 8.2 行列式的性质
- 8.3 行列式的计算
- 8.4 克莱姆法则
- 本章小结
- 第9章 矩阵
- 9.1 矩阵的概念及其运算
- 9.2 矩阵的初等行变换与矩阵的秩
- 9.3 逆矩阵
- 本章小结
- 第10章 线性方程组
- 10.1 消元法
- 10.2 齐次线性方程组
- 10.3 非齐次线性方程组
- 本章小结
- 第3篇 概率与统计初步
- 第11章 概率论初步
- 11.1 随机事件
- 11.2 随机事件的概率
- 11.3 条件概率
- 11.4 事件的独立性
- 本章小结
- 第12章 统计初步
- 12.1 离散型随机变量及其分布
- 12.2 连续型随机变量及其分布
- 12.3 随机变量函数的分布
- 12.4 随机变量的数学期望与方差
- 本章小结
- 附录A 常用的数学公式
- 附录B 泊松分布概率值表
- 附录C 标准正态分布表
- 附录D 习题参考答案
- 参考文献
- 反侵权盗版声明
FAQ
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About the author
Wang Jinwu is an author about whom limited public information is currently available, with only one work, Economic Mathematics, included in the book database. Judging from the title and its common classification, the book falls under popular science and is expected to center on the mathematical methods commonly used in economics, aimed at readers who wish to understand economic phenomena through mathematical tools. Since no further biographical information is available, his nationality, education, professional experience, and research focus cannot be confirmed and should not be guessed. Based on the existing work, Wang Jinwu's writing appears to emphasize knowledge and practicality, placing abstract mathematical concepts within economic problems so that readers can connect formulas with applications. Such introductory books usually serve teaching or self-study and can lower the threshold for interdisciplinary reading. Overall, Wang Jinwu is currently known to readers through a single popular mathematics work, and more public information is needed to present his subsequent writing and academic profile.
Wang Cuifang: publicly available information is limited. At present, it is known only that she has one work, Economic Mathematics, commonly classified under popular science. Judging from the title, the book likely deals with the application of mathematical methods in economics and may be intended for readers who need mathematical tools to understand economic issues. Its content may cover the use of basic mathematics—such as functions, calculus, linear algebra, and probability and statistics—in economic contexts. As a popular-science work, its writing style may tend toward accessibility, emphasizing the introduction of concepts alongside practical examples to help readers develop mathematical thinking and grasp the basic logic of economic models. Because no public record of the author's life, educational background, or research direction is available, her academic identity or institutional affiliation cannot be confirmed, nor can it be determined whether the book is a textbook, supplementary teaching material, or general-interest reading. What can be confirmed is that Wang Cuifang has come to readers' attention through Economic Mathematics, a work spanning mathematics and economics and reflecting an interdisciplinary approach to popular science writing. For readers seeking an initial understanding of economic mathematics, the book may serve as one introductory reference.
