Essential Mathematics for Economics and Business, 4ed

Teresa Bradley

ISBN: 9788126576838

688 pages

INR 729

Description

Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks for non maths specialists taking economics and business degrees. The fundamental mathematical concepts are explained as simply and briefly as possible, using a wide selection of worked examples, graphs and real-world applications.  It combines a non-rigorous approach to mathematics with applications in economics and business.

 

Introduction

 

Chapter 1 Mathematical Preliminaries

1.1 Some Mathematical Preliminaries

1.2 Arithmetic Operations

1.3 Fractions

1.4 Solving Equations

1.5 Currency Conversions

1.6 Simple Inequalities

1.7 Calculating Percentages

1.8 The Calculator. Evaluation and Transposition of Formulae

1.9 Introducing Excel

 

Chapter 2 The Straight Line and Applications

2.1 The Straight Line

2.2 Mathematical Modelling

2.3 Applications: Demand, Supply, Cost, Revenue

2.4 More Mathematics on the Straight Line

2.5 Translations of Linear Functions

2.6 Elasticity of Demand, Supply and Income

2.7 Budget and Cost Constraints

2.8 Excel for Linear Functions

2.9 Summary

 

Chapter 3 Simultaneous Equations

3.1 Solving Simultaneous Linear Equations

3.2 Equilibrium and Break-even

3.3 Consumer and Producer Surplus

3.4 The National Income Model and the IS-LM Model

3.5 Excel for Simultaneous Linear Equations

3.6 Summary

 

Chapter 4 Non-linear Functions and Applications

4.1 Quadratic, Cubic and Other Polynomial Functions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Hyperbolic (Rational) Functions of the Form a/(bx + c)

4.5 Excel for Non-linear Functions

4.6 Summary

 

Chapter 5 Financial Mathematics

5.1 Arithmetic and Geometric Sequences and Series

5.2 Simple Interest, Compound Interest and Annual Percentage Rates

5.3 Depreciation

5.4 Net Present Value and Internal Rate of Return

5.5 Annuities, Debt Repayments, Sinking Funds

5.6 The Relationship between Interest Rates and the Price of Bonds

5.7 Excel for Financial Mathematics

5.8 Summary

 

Chapter 6 Differentiation and Applications

6.1 Slope of a Curve and Differentiation

6.2 Applications of Differentiation, Marginal Functions, Average Functions

6.3 Optimisation for Functions of One Variable

6.4 Economic Applications of Maximum and Minimum Points

6.5 Curvature and Other Applications

6.6 Further Differentiation and Applications

6.7 Elasticity and the Derivative

6.8 Summary

 

Chapter 7 Functions of Several Variables

7.1 Partial Differentiation

7.2 Applications of Partial Differentiation

7.3 Unconstrained Optimisation

7.4 Constrained Optimisation and Lagrange Multipliers

7.5 Summary

 

Chapter 8 Integration and Applications

8.1 Integration as the Reverse of Differentiation

8.2 The Power Rule for Integration

8.3 Integration of the Natural Exponential Function

8.4 Integration by Algebraic Substitution

8.5 The Definite Integral and the Area under a Curve

8.6 Consumer and Producer Surplus

8.7 First-order Differential Equations and Applications

8.8 Differential Equations for Limited and Unlimited Growth

8.9 Integration by Substitution and Integration by Parts (website only)

8.10 Summary

 

Chapter 9 Linear Algebra and Applications

9.1 Linear Programming

9.2 Matrices

9.3 Solution of Equations: Elimination Methods

9.4 Determinants

9.5 The Inverse Matrix and Input/Output Analysis

9.6 Excel for Linear Algebra

9.7 Summary

 

Chapter 10 Difference Equations

10.1 Introduction to Difference Equations

10.2 Solution of Difference Equations (First-order)

10.3 Applications of Difference Equations (First-order)

10.4 Summary

 

Solutions to Progress Exercises

Worked Examples

Index