Mathematics for Economics and Business 8th Edition by Ian Jacques – Ebook PDF Instant Download/Delivery: 129207423X 9781292074238
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ISBN 10: 129207423X
ISBN 13: 9781292074238
Author: Ian Jacques
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Mathematics for Economics and Business 8th Table of contents:
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
1.2.1 Fractions
1.2.2 Equations
1.2.3 Inequalities
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
Exercise 1.4
Exercise 1.4
1.5 Supply and demand analysis
Exercise 1.5
Exercise 1.5
1.6 Transposition of formulae
Exercise 1.6
Exercise 1.6
1.7 National income determination
Exercise 1.7
Exercise 1.7
Formal mathematics
CHAPTER 2 Non-linear Equations
2.1 Quadratic functions
Key Terms
Exercise 2.1
Exercise 2.1
2.2 Revenue, cost and profit
Exercise 2.2
Exercise 2.2
2.3.1 Index notation
2.3.2 Rules of indices
2.3.3 Logarithms
2.3.4 Summary
Exercise 2.3
Exercise 2.3
2.4 The exponential and natural logarithm functions
Exercise 2.4
Exercise 2.4
Formal mathematics
CHAPTER 3 Mathematics of Finance
3.1 Percentages
3.1.1 Index numbers
3.1.2 Inflation
Exercise 3.1
Exercise 3.1
3.2 Compound interest
Exercise 3.2
Exercise 3.2
3.3 Geometric series
Exercise 3.3
Exercise 3.3
3.4 Investment appraisal
Exercise 3.4
Exercise 3.4
Formal mathematics
CHAPTER 4 Differentiation
4.1 The derivative of a function
Exercise 4.1
Exercise 4.1
Rule 1 The constant rule
Rule 2 The sum rule
Rule 3 The difference rule
Exercise 4.2
Exercise 4.2
4.3.1 Revenue and cost
4.3.2 Production
4.3.3 Consumption and savings
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
Exercise 4.5
Exercise 4.5
4.6 Optimisation of economic functions
Exercise 4.6
Exercise 4.6
4.7 Further optimisation of economic functions
Exercise 4.7
Exercise 4.7
4.8 The derivative of the exponential and natural logarithm functions
Exercise 4.8
Exercise 4.8
Formal mathematics
CHAPTER 5 Partial Differentiation
5.1 Functions of several variables
Key Terms
Exercise 5.1
Exercise 5.1
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
Exercise 5.3
Exercise 5.3
5.4 Unconstrained optimisation
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
Formal mathematics
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
Exercise 6.2
Exercise 6.2
Formal mathematics
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
Key Terms
Exercise 7.1
Exercise 7.1
7.2 Matrix inversion
Exercise 7.2
Exercise 7.2
7.3 Cramer’s rule
Exercise 7.3
Exercise 7.3
Formal mathematics
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
Exercise 8.2
Exercise 8.2
Formal mathematics
CHAPTER 9 Dynamics
9.1 Difference equations
9.1.1 National income determination
9.1.2 Supply and demand analysis
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
Formal mathematics
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