Mathematics for Economics and Business 10th Edition by Ian Jacques – Ebook PDF Instant Download/DeliveryISBN: 1292451823, 9781292451824
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ISBN-10 : 1292451823
ISBN-13 : 9781292451824
Author: Ian Jacques
A reader-friendly introduction to the essential principles in Mathematics for economics and business, whether you are new to economics or looking for comprehensive self-study material. Mathematics for Economics and Business, 10th edition by Ian Jacques, is the essential resource for studying Mathematics as part of your economics, management or business studies courses. Ideal for first-year students in economics and those interested in comprehensive self-study, this book will guide you step-by-step through the key mathematical concepts and techniques you need to succeed, regardless of your level or prior quantitative knowledge.
Mathematics for Economics and Business 10th 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 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
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