Essential Mathematics for Economics and Business,4th Edition

Essential Mathematics for Economics and Business 4th Edition

By: Teresa Bradley
About this Book
ISBN-10: 1118358295
/ ISBN-13: 9781118358290
Edition: 4th Edition
Format: MS Word /or PDF
Published By: Wiley

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Table of contents:

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
Appendix
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
Appendix
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

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