本书的主要特点是中英文两种语言进行书写。注重数学在商务、经济中的应用,将出现于经济、商务管理等专业中的定义、问题与数学理论、方法进行了有机的结合。书中每介绍完一部分数学内容,就会给出相关的商务和经济生活等领域的实例,并进行完整而深入的讨论。这样的安排,能使学生了解所学数学知识的用途及运用数学知识解决经济问题的全过程,提高学生解决实际问题的能力。本书对数学概念、定理、方法的介绍注重结合学生的实际,尽量采用学生易于理解的方式,淡化严格的数学论证,强化对概念的几何直观和客观背景的描述,从而降低学习难度,每节课后都安排有适量的习题供学生演练。
Chapter 1 Function, Limit and Continuity
1.1 The Concept of a Function
1.2 Functions Commonly Used in Economics and Business
1.3 The Concept of Limits
1.4 Computation of Limits
1.5 The Continuity of Functions
1.6 Applications of Functions and Limits in Business and Economics
Chapter 2 Derivative and Differential
2.1 Concept of Derivative
2.2 Formulas and Rules for Finding Derivatives
2.3 Higher-order Derivatives
2.4 Differential of a Function
2.5 Applications of Derivatives in Economics
Chapter 3 Applications of Derivative
3.1 Indeterminate Forms and L'Hospital's Rule
3.2 Applications of the First Derivative in Functions
3.3 Applications of the Second Derivative in Functions
3.4 How to Sketch the Curve of a Functidn
3.5 Optimization Problems in Business and Economics
Chapter 4 Indefinite Integral and Definite Integral
4.1 The Concept and Properties of Indefinite Integral
4.2 Integration by Substitution and by Parts
4.3 The Concept and Properties of Definite Integrals
4.4 The Fundamental Theorem of Calculus
4.5 Improper Integrals with Infinite Limits of Integration
4.6 Applications of Integration to Business and Economics
Chapter 5 Elementary Business Statistics
5.1 The Basic Concepts of Business Statistics
5.2 Statistical Charts and Graphs
5.3 Characteristic Numbers of Sample
Appendix
附录A 数、符号、公式、图形等的英文表达
附录B 基本初等函数的图像及性质
附录C 一元普通年金终值
附录D 一元普通年金现值
附录E 词汇表
Reference