本书是一本商务与经济数学的基础教材。它主要面向经济学、工商管理专业的低年级本科生。本书的语言浅显易懂、内容深入浅出、栏目设置灵活多样,书中含有大量的例题。这使这本书不像传统的数学教科书那样枯燥,对读者更具吸引力,从而部分减轻了一些读者的对学习数学的恐惧心理。
绪论 入门指南
第1章 线性方程
1.1 线性方程的图
1.2 线性联立方程组的代数解
1.3 供求分析
1.4 代数
1.5 公式变换
1.6 国民收入决定
第2章 非线性方程
2.1 二次函数
2.2 收益、成本与利润
2.3 指数与对数
2.4 指数与自然对数函数
第3章 金融数学
3.1 百分比
3.2 复利
3.3 几何数列
3.4 投资评估
第4章 微分
4.1 函数的导数
4.2 微分法则
4.3 边际函数
4.4 微分的进一步扩展结果
4.5 弹性
4.6 经济函数的最优化
4.7 经济函数的进一步优化
4.8 指数和自然对数函数的微分
第5章 偏微分
5.1 多变量函数
5.2 偏弹性和边际函数
5.3 比较静态
5.4 无约束优化
5.5 有约束优化
5.6 拉格朗日乘数
第6章 积分
6.1 不定积分
6.2 定积分
第7章 矩阵
7.1 矩阵基本运算
7.2 矩阵的逆
7.3 克莱姆法则
7.4 投入一产出分析
第8章 线性规划
8.1 线性规划问题的图形求解
8.2 线性规划的应用
第9章 动态
9.1 差分方程
9.2 微分方程
附录A:微分的基本原理
附录B:隐微分
附录C:海赛矩阵
I am always amazed by the mix of students on first-year economics courses. Some have not acquired any mathematical knowledge beyond elementary algebra (and even that can be of a rather dubious nature), some have never studied economics before in their lives, while others have passed preliminary courses in both. Whatever category you are in, I hope that you will find this book of value. The chapters covering algebraic manipulation, simple calculus, finance and matrices should also benefit students on business studies and accountancy courses.
The first few chapters are aimed at complete beginners and students who have not taken mathematics courses for some time. I would like to think that these students once enjoyed mathematics and had every intention of continuing their studies in this area, but somehow never found the time to fit it into an already overcrowded academic timetable. However, I suspect that the reality is rather different. Possibly they hated the subject, could not understand it and dropped it at the earliest opportunity. If you find yourself in this position, you are probably horrified to discover that you must embark on a quantitative methods course with an examination looming on the horizon. However, there is no need to worry. My experience is that every student, no matter how innumerate, is capable of passing a mathematics examination.All that is required is a commitment to study and a willingness to suspend any prejudices about the subject gained at school. The fact that you have bothered to buy this book at all suggests that you are prepared to do both.