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管理数学 英文版PDF|Epub|txt|kindle电子书版本网盘下载
- （英）H.A.斯波那（H.A.Spooner），（英）D.A.L.威尔逊（D.A.L.Wilson）著 著
- 出版社： 北京：中国人民大学出版社；普兰蒂斯霍尔出版公司
- ISBN：7300024807
- 出版时间：1997
- 标注页数：266页
- 文件大小：7MB
- 文件页数：277页
- 主题词：
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图书目录
1 Elementary algebra1
Introduction1
1.1 Algebraic expressions and equations1
1.2 The addition and subtraction of algebraic forms3
1.3 Products of positive and negative real numbers6
1.4 Expansion of bracketed terms7
1.5 Fractions10
1.6 Exponents13
1.7 Negative exponents18
1.8 Cancelling out terms19
1.9 The order and hierarchy of operations20
1.10 Factorization22
1.11 Degree of an expression27
1.12 Perfect squares28
1.13 Applications29
Additional examples32
2 Solving equations35
Introduction35
2.1 Drawing graphs36
2.2 Straight-line or linear functions36
2.3 Quadratic functions38
2.4 Cubic fUnctions41
2.5 Algebraic solution of equations43
2.6 Equations involving fractions44
2.7 QUadratic equations45
2.8 Formula for solving quadratic equations46
2.9 Solution of cubic equations48
2.10 APPlications50
Additional examples54
3 Simultaneous equations and inequalities57
Introduction57
3.1 Simple equations with one variable58
3.2 Pairs of equations58
3.3 Using a set of equations as a model61
3.4 Sets of three or more equations64
3.5 Independent and dependent equations69
3.6 Linear and non-linear equations70
3.7 Inequalities73
3.8 Simultaneous inequalities79
3.9 Applications of inequalities81
Additional examples86
4.1 Arithmetic progression(AP)89
4 Series89
Introduction89
4.2 The sigma notation for summation93
4.3 Sum of terms of an AP96
4.4 Geometric progression(GP)100
4.5 Sum of terms of a GP101
4.6 Notation for interest calculations103
4.7 Compound interest104
Additional examples107
5 Logarithms and exponentials109
Introduction109
5.1 Logarithms and exponents109
5.2 How logarithms work112
9.2 Rules for integration115
5.3 Rules for combining logarithms118
5.4 The exponential function and continuous compounding119
5.5 Nominal interest rates and effective interest rates123
5.6 Negative growth124
5.7 Application129
Additional examples132
6 Matrices134
Introduction134
6.1 Matrix notation135
6.2 Equality, addition and subtraction of matrices138
6.3 Multiplication of matrices140
6.4 Transposing matrices148
6.5 Matrix formulation of simultaneous equations151
6.6 The identity matrix and the inverse154
6.7 Determinants157
6.8 The inverse of a 2×2 matrix159
6.9 Summary161
Additional examples162
7 Differentiation164
Introduchon164
7.1 The slope of a straight line166
7.2 Finding the equation of a straight line168
7.3 A numerical method for finding the slope of a curve169
7.4 The general method of differentiation174
7.5 Rules for derivatives175
7.6 The derivative of the reciprocal of a function178
Additional examples181
8.1 The second and higher derivatives183
Introduction183
8 More about differentiation183
8.2 Alternative notation for the derivative186
8.3 Maxima and minima187
8.4 Points of inflexion192
8.5 The function of a function rule194
8.6 The product rule199
8.7 Mixing the function of a function and product rules203
8.8 Differentiating expressions containing fractions204
8.9 Continuous functions206
8.10 Partial derivatives208
Additional examples209
9 Integration212
Introduction212
9.1 Integration as the reverse of differentiation213
9.3 The definite integral217
9.4 The integral as the area between the curve and the x-axis219
9.5 A general remark on integration and differentiation223
Additional examples224
10 The application of mathematics228
10.1 Mathematical style228
10.2 Tackling mathematical examination questions229
10.3 Formulating real-life problems230
10.4 Solving real-life problems230
Appendix The Greek alphabet232
Solutions to ad■ examples233
Index263