管理數學

管理數學

《管理數學》是1997年中國人民大學出版社出版的圖書，作者是H.D.斯波那、D.A.L.威爾遜。該書可供接受短期培訓的管理者、MBA，以及想迅速了解這一問題核心內容的教師和學生來使用，還可以作為管理人員的藏書，以及那些有抱負的管理人員完善自己知識和技能的參考資料。

目錄

1內容介紹 2作品目錄

內容介紹

為什麼要在管理活動中運用數學方法？怎樣理解各種圖表和數據？什麼是數學模型？怎樣運用數學模型輔助解決管理中的難題？本書對上述問題及其他有關問題作了清楚而確切的解釋。

作品目錄

Contents

1 EIementary algebra

Introduction

1.1 Algebraic expressions and equations

1.2 The addition and subtraction of algebraic forms

1.3 Products of positive and negative real numbers

1.4 Expansion of bracketed terms

1.5 Fractions

1.6 Exponents

1.7 Negative exponents

1.8 Cancelling out tenms

1.9 The order and hierarchy of operations

1.10 Factorization

1.11 Degree of an expression

1.12 Perfect squares

1.13 Applications

Additional examples

2 Solving equations

Introduction

2.1 Drawing graphs

2.2 Straight-line or linear functions

2.3 Quadratic functions

2.4 Cubic functions

2.5 Algebraic solution of equations

2.6 Equations involving fractions

2.7 Quadratic equations

2.8 Formula for solving quadratic equations

2.9 Solution of cubic equations

2.10 Applications

Additional examples

3 Simultaneous equations and inequalities

Introduction

3.1 Simple equations with one variable

3.2 Pairs of equations

3.3 Using a set of equations as a model

3.4 Sets of three or more equations

3.5 Independent and dependent equations

3.6 Linear and non-linear equations

3.7 Inequalities

3.8 Simultaneous inequalities

3.9 Applications of inequalities

Additional examples

4 Series

Introduction

4.1 Arithmetic progression (AP)

4.2 The sigma notation for summation

4.3 Sum of terms of an AP

4.4 Geometric progression (GP)

4.5 Sum of terms of a GP

4.6 Notation for interest calculations

4.7 Compound interest

Additional examples

5 Logarithms and exponentials

Introduction

5.1 Logarithms and exponents

5.2 How logarithms work

5.3 Rules for combining logarithms

5.4 The exponential function and continuous compounding

5.5 Nominal interest rates and effective interest rates

5.6 Negative growth

5.7 Application

Additional examples

6 Matrices

Introduction

6.1 Matrix notafion

6.2 Equality, addition and subtraction of matrices

6.3 Multiplication of matrices

6.4 Transposing matrices

6.5 Matrix formulation of simultaneous equations

6.6 The identity matrix and the inverse

6.7 Determinants

6.8 The inverse of a 2 x 2 matrix

6.9 Summary

Additional examples

7 Differentiation

Introduction

7.1 The slope of a straight line

7.2 Finding the equation of a straight line

7.3 A numerical method for finding the slope of a curve

7.4 The general method of differentiation

7.5 Rules for derivatives

7.6 The derivative of the redprocal of a function

Additional examples

8 More about ditterentiation

Introduction

8.1 The second and higher derivatives

8.2 Alternative notation for the derivative

8.3 Maxima and minima

8.4 Points of inflexion

8.5 The function of a function rule

8.6 The product rule

8.7 Mixing the function of a function and product rules

8.8 Differentiating expressions containing fractions

8.9 Continuous functions

8.10 Partial derivatives

Additional examples

9 Integration

Introduction

9.1 Integration as the reverse of differentiation

9.2 Rules for integration

9.3 The definite integral

9.4 The integral as the area between the curve and the x-axis

9.5 A general remark on integration and differentiation

Additional examples

10 The application ofmathematics

10.1 Mathematical style

10.2 Taclding mathematical examination questions

10.3 Formulating real-life problems

10.4 Solving real-life problems

Appendix The Greek alphabet

Solutions to additional examples

目錄