Mathematics for Economics and Business [10 ed.] 1292720123, 9781292720128

Table of contents :
Front Cover
Half Title
Title Page
Copyright Page
Contents
Preface
INTRODUCTION: Getting Started
Notes for students: how to use this text
Tour of textbook features
Chapter 1 Linear Equations
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*
1.2 Further algebra
1.2.1 Fractions
1.2.2 Equations
1.2.3 Inequalities
Key Terms
Exercise 1.2
Exercise 1.2*
1.3 Graphs of linear equations
Key Terms
Exercise 1.3
Exercise 1.3*
1.4 Algebraic solution of simultaneous linear equations
Key Term
Exercise 1.4
Exercise 1.4*
1.5 Supply and demand analysis
Key Terms
Exercise 1.5
Exercise 1.5*
1.6 Transposition of formulae
Key Terms
Exercise 1.6
Exercise 1.6*
1.7 National income determination
Key Terms
Exercise 1.7
Exercise 1.7*
Case study 1
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 2 Non-linear Equations
2.1 Quadratic functions
Key Terms
Exercise 2.1
Exercise 2.1*
2.2 Revenue, cost and profit
Key Terms
Exercise 2.2
Exercise 2.2*
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*
2.4 The exponential and natural logarithm functions
Key Terms
Exercise 2.4
Exercise 2.4*
Case study 2
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 3 Mathematics of Finance
3.1 Percentages
3.1.1 Index numbers
3.1.2 Inflation
Key Terms
Exercise 3.1
Exercise 3.1*
3.2 Compound interest
Key Terms
Exercise 3.2
Exercise 3.2*
3.3 Geometric series
Key Terms
Exercise 3.3
Exercise 3.3*
3.4 Investment appraisal
Key Terms
Exercise 3.4
Exercise 3.4*
Case study 3
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 4 Differentiation
4.1 The derivative of a function
Key Terms
Exercise 4.1
Exercise 4.1*
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*
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*
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*
4.5 Elasticity
Key Terms
Exercise 4.5
Exercise 4.5*
4.6 Optimisation of economic functions
Key Terms
Exercise 4.6
Exercise 4.6*
4.7 Further optimisation of economic functions
Key Term
Exercise 4.7*
4.8 The derivative of the exponential and natural logarithm functions
Exercise 4.8
Exercise 4.8*
Case study 4
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 5 Partial Differentiation
5.1 Functions of several variables
Key Terms
Exercise 5.1
Exercise 5.1*
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*
5.3 Comparative statics
Key Terms
Exercise 5.3*
5.4 Unconstrained optimisation
Key Terms
Exercise 5.4
Exercise 5.4*
5.5 Constrained optimisation
Key Terms
Exercise 5.5
Exercise 5.5*
5.6 Lagrange multipliers
Key Terms
Exercise 5.6
Exercise 5.6*
Case study 5
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 6 Integration
6.1 Indefinite integration
Key Terms
Exercise 6.1
Exercise 6.1*
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
6.2.5 Income inequality
Key Terms
Exercise 6.2
Exercise 6.2*
Case study 6
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 7 Matrices
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*
7.2 Matrix inversion
Key Terms
Exercise 7.2
Exercise 7.2*
7.3 Cramer's rule
Key Term
Exercise 7.3
Exercise 7.3*
Case study 7
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 8 Linear Programming
8.1 Graphical solution of linear programming problems
Key Terms
Exercise 8.1
Exercise 8.1*
8.2 Applications of linear programming
Key Terms
Exercise 8.2
Exercise 8.2*
Case study 8
Formal mathematics
Multiple-choice questions
Examination questions
Chapter 9 Dynamics
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*
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*
Case study 9
Formal mathematics
Multiple-choice questions
Examination questions
Answers to Problems
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Glossary
Index
Back Cover

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