内容简介

为什么要在管理活动中运用数学方法？怎样理解各种图表和数据？什么是数学模型？怎样运用数学模型辅助解决管理中的难题？本书对上述问题及其他有关问题作了清楚而确切的解释。对于那些接受短期培训的管理者、MBA，以及想迅速了解这一问题核心内容的教师和学生来说，都不失为价值的参考书。它还可以作为管理人员的藏书，以及那些有抱负的管理人员完善自己知识和技能的参考资料。

目录

1 Elementary algebra Introduction l.1 Algebraic expressions and equations l.2 The addition and subtraction of algebraic forms 1.3 Products of positive and negative real numbers l.4 Expansion of bracketed terms l.5 Fractions l.6 Exponents l.7 Negative exponents 1.8 Cancelling out terms l.9 The order and hierarchy of operations 1.10 Factorization 1.l1 Degree of an expression l.12 Perfect squares l.l3 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 equahons 2.l0 Applications Additional examples 3 Simultaneous equations and inequalities Introduction 3.l 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.l 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 Notahon fOr intErest calculations 4.7 Compound interest Additional examples 5 Logarithms and exponentials Inttoduction 5.l 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 notation 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 Introduchon 7.l 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 differentiation Introduction 8.1 The second and higher derivatives 8.2 Alternative notation for the derivative 8.3 Makima 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.l0 Partial derivatives Additional examples 9 Integration Introduction 9.l Integration as the reverse of differentiation 9.2 Rules for integration 9.3 The definite integ