商务与经济数学(第七版)(双语工商管理)

伊恩？雅克所著的《商务与经济数学(工商管理第7版)》是一本商务与经济数学的基础教材，主要面向经济学、工商管理专业的低年级本科生。浅显易懂的语鲜活丰富的案例，华丽清新的图表，灵活多样的栏目都彰显了《商务与经济数学(工商管理第7版)》为读者着想的独具匠心，拉近了数学与读者的心理距离，使得学习商务与经济数学的过程更为顺畅有趣。

PREFACE

GUIDED TOUR OF THE TEXTBOOK

GUIDED TOUR OF THE ONLINE RESOURCES

INTRODUCTION： Getting Started

NOTES FOR STUDENTS： HOW TO USE THIS BOOK

CHAPTER 1 Linear Equations

SECTION 1．1 Introduction to algebra

1．1．1 Negative numbers

1．1．2 Expressions

1．1．3 Brackets

Key Terms

Exercise 1．1

Exercise 1．1*

SECTION 1．2 Further algebra

1．2．1 Fractions

1．2．2 Equations

1．2．3 Inequalities

Key Terms

Exercise 1．2

Exercise 1．2*

SECTION 1．3 Graphs of linear equations

Key Terms

Exercise 1．3

Exercise 1．3*

SECTION 1，4 Algebraic solution of simultaneous linear equations

Key Term

Exercise 1．4

Exercise 1．4*

SECTION 1．5 Supply and demand analysis

Key Terms

Exercise 1．5

Exercise 1．5*

SECTION 1．6 Transposition of formulae

Key Terms

Exercise 1．6

Exercise 1．6*

SECTION 1．7 National income determination

Key Terms

Exercise 1．7

Exercise 1．7*

Formal mathematics

key Terms

CHAPTER 2 Non-linear Equations

SECTION 2．1 Quadratic functions

Key Terms

Exercise 2．1

Exercise 2．1*

SECTION 2．2 Revenue， cost and profit

Key Terms

Exercise 2．2

Exercise 2．2

SECTION 2．3 Indices and logarithms

2．3．1 Index notation

2．3．2 Rules of indices

2．3．3 Logarithms

2．3．4 Summary

Key Terms

Exercise 2．3

Exercise 2．3

SECTION 2．4 The exponential and natural logarithm functions

Key Terms

Exercise 2．4

Exercise 2．4

Formal mathematics

key Terms

CHAPTER 3 Mathematics of Finance

SECTION 3．1 Percentages

3．1．1 Index numbers

3．1．2 Inflation

Key Terms

Exercise 3．1

Exercise 3．1*

SECTION 3．2 Compound interest

Key Terms

Exercise 3．2

Exercise 3．2

SECTION 3．3 Geometric series

Key Terms

Exercise 3．3

Exercise 3．3

SECTION 3．4 Investment appraisal

Key Terms

Exercise 3．4

Exercise 3．4

Formal mathematics

key Terms

CHAPTER 4 Differentiation

SECTION 4．1 The derivative of a function

Key Terms

Exercise 4．1

CHAPTER 2 Non-linear Equations

SECTION 2．1 Quadratic functions

Key Terms

Exercise 2．1

Exercise 2．1*

SECTION 2．2 Revenue， cost and profit

Key Terms

Exercise 2．2

Exercise 2．2

SECTION 2．3 Indices and logarithms

2．3．1 Index notation

2．3．2 Rules of indices

2．3．3 Logarithms

2．3．4 Summary

Key Terms

Exercise 2．3

Exercise 2．3

SECTION 2．4 The exponential and natural logarithm functions

Key Terms

Exercise 2．4

Exercise 2．4

Formal mathematics

key Terms

CHAPTER 3 Mathematics of Finance

SECTION 3．1 Percentages

3．1．1 Index numbers

3．1．2 Inflation

Key Terms

Exercise 3．1

Exercise 3．1*

SECTION 3．2 Compound interest

Key Terms

Exercise 3．2

Exercise 3．2

SECTION 3．3 Geometric series

Key Terms

Exercise 3．3

Exercise 3．3

SECTION 3．4 Investment appraisal

Key Terms

Exercise 3．4

Exercise 3．4

Formal mathematics

key Terms

CHAPTER 4 Differentiation

SECTION 4．1 The derivative of a function

Key Terms

Exercise 4．1

Exercise 4．1

SECTION 4．2 Rules of differentiation

Rule 1 The constant rule

Rule 2 The sum rule

Rule 3 The difference rule

Key Terms

Exercise 4．2

Exercise 4．2*

SECTION 4．3 Marginal functions

4．3．1 Revenue and cost

4．3．2 Production

4．3．3 Consumption and savings

Key Terms

Exercise 4．3

Exercise 4．3*

SECTION 4．4 Further rules of differentiation

Rule 4 The chain rule

Rule 5 The product rule

Rule 6 The quotient rule

Exercise 4．4

Exercise 4．4*

SECTION 4．5 Elasticity

Key Terms

Exercise 4．5

Exercise 4．5*

SECTION 4．60ptimisation of economic functions

Key Terms

Exercise 4．6

Exercise 4．6*

SECTION 4．7 Further optimisation of economic functions

Exercise 4．7*

SECTION 4．8 The derivative of the exponential and natural logarithm functions

Exercise 4．8

Exercise 4．8*

Formal mathematics

CHAPTER 5 Partial Differentiation

SECTION 5．1 Functions of several variables

Key Terms

Exercise 5．1

Exercise 5．1*

SECTION 5．2 Partial elasticity and marginal functions

5．2．1 Elasticity of demand

5．2．2 Utility

5．2．3 Production

Key Terms

Exercise 5．2

Exercise 5．2*

SECTION 5．3 Comparative statics

Key Terms

Exercise 5．3*

SECTION 5．4 Unconstrained optimisation

Key Terms

Exercise 5．4

Exercise 5．4*

SECTION 5．5 Constrained optimisation

Key Terms

Exercise 5．5

Exercise 5．5*

SECTION 5．6 Lagrange multipliers

Key Terms

Exercise 5．6

Exercise 5．6*

Formal mathematics

CHAPTER 6 Integration

SECTION 6．1 Indefinite integration

Key Terms

Exercise 6．1

Exercise 6．1*

SECTION 6．2 Definite integration

6．2．1 Consumer's surplus

6．2．2 Producer's surplus

6．2．3 Investment flow

6．2．4 Discounting

Key Terms

Exercise 6．2

Exercise 6．2*

Formal mathematics

CHAPTER 7 Matrices

SECTION 7．1 Basic matrix operations

7．1．1 Transposition

7．1．2 Addition and subtraction

7．1．3 Scalar multiplication

7．1．4 Matrix multiplication

7．1．5 Summary

Key Terms

Exercise 7．1

Exercise 7．1*

SECTION 7．2 Matrix inversion

Key Terms

Exercise 7．2

Exercise 7．2*

SECTION 7．3 Cramer's rule

Key Term

Exercise 7．3

Exercise 7．3*

Formal mathematics

CHAPTER 8 Linear Programming

SECTION 8．1 Graphical solution of linear programming problems

Key Terms

Exercise 8．1

Exercise 8．1*

SECTION 8．2 Applications of linear programming

Key Term

Exercise 8．2

Exercise 8．2*

Formal mathematics

CHAPTER 9 Dynamics

SECTION 9．1 Difference equations

9．1．1 National income determination

9．1．2 Supply and demand analysis

Key Terms

Exercise 9．1

Exercise 9．1*

SECTION 9．2 Differential equations

9．2．1 National income determination

9．2．2 Supply and demand analysis

Key Terms

Exercise 9．2

Exercise 9．2*

Formal mathematics

Answers

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

GLOSSARY