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Mathematics for Economics and Business An Interactive Introduction

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ISBN-10: 1405111275

ISBN-13: 9781405111270

Edition: 2nd 2004 (Revised)

Authors: Jean Soper

List price: $70.95
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Description:

In this volume Jean Soper demonstrates mathematical techniques while explaining their economic and business applications. This edition features sections on matrix algebra and linear programming.
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Book details

List price: $70.95
Edition: 2nd
Copyright year: 2004
Publisher: John Wiley & Sons, Incorporated
Publication date: 5/21/2004
Binding: Paperback
Pages: 432
Size: 7.50" wide x 9.70" long x 1.31" tall
Weight: 1.914
Language: English

Preface
Features of the Book
List of MathEcon Screens
List of Excel Worksheets
Functions in Economics
Introduction
Coordinates and Graphs
Variables and Functions
Basic Rules of Algebra
Fractions and Sharing
Powers and Indices
Functions of More Than One Variable
Economic Variables and Functions
Total and Average Revenue
Total and Average Cost
Profit
Production Functions, Isoquants and the Average Product of Labour
Functions in Excel
Chapter 1 Answers to Practice Problems
Equations in Economics
Introduction
Rewriting and Solving Equations
Substitution
Demand and Supply
Cost-Volume-Profit Analysis
Linear Equations
Budget Lines
Constant Substitution Along a Line
Quadratic Equations
Intersection of MC with MR or AVC
Simultaneous Equations
Simultaneous Equilibrium in Related Markets
Exponential Functions
Logarithmic Functions
Plotting and Solving Equations in Excel
Chapter 2 Answers to Practice Problems
Macroeconomic Models
Introduction
Notation and Model Specification
Identifying Equilibrium Income
Keynesian Cross Model
IS-LM Analysis
Chapter 3 Answers to Practice Problems
Changes, Rates, Finance and Series
Introduction
Percentage Changes
Simple and Compound Interest
Annual Equivalent Rate
Nominal and Real Interest Rates
Growth Rates and Logarithms
Depreciation
Net Present Value
Series
Savings and Loans with Regular Payments
Prices of Bills and Bonds and the Rate of Interest
Financial Calculations with Excel
Chapter 4 Answers to Practice Problems
Differentiation in Economics
Introduction
Using Differentiation in Economics
The Basic Rules of Differentiation
Application to Economic Analysis
Utility Functions
Revenue Functions
Short-run Production Functions
Cost Functions
Point Elasticity of Demand and of Supply
Investment Multiplier
Chapter 5 Answers to Practice Problems
Maximum and Minimum Values
Introduction
Identifying Maximum and Minimum Turning Points
Maximum Total Revenue
Maximum Profit
Minimum Average Cost
Average and Marginal Product of Labour
Tax Rate which Maximizes Tax Revenue
Minimizing Total Inventory Costs
Chapter 6 Answers to Practice Problems
Further Rules of Differentiation
Introduction
The Chain Rule
The Product Rule
The Quotient Rule
Marginal Revenue, Price Elasticity and Maximum Total Revenue
Optimal Production and Cost Relationships
Exponential and Natural Logarithmic Functions
Applications to Economic Analysis
Chapter 7 Answers to Practice Problems
Partial Differentiation in Economics
Introduction
Partial Derivatives
Small Increments Formula
Multipliers
Differentials and Implicit Differentiation
Slope of an Indifference Curve
Elasticities
Logarithmic Demand Functions
Long-run Production Functions
Second Order Partial Derivatives
Optimization of Multivariate Functions
Price Discriminating Monopoly
Chapter 8 Answers to Practice Problems
Constrained Maxima and Minima
Introduction
Substitution Method
Lagrange Multiplier Method
Chapter 9 Answers to Practice Problems
Integration in Economics
Introduction
Rules of Integration
Finding Total Functions from Marginal Functions
Area Under a Curve
Definite Integrals in Economics
Chapter 10 Answers to Practice Problems
Linear Programming
Introduction
Formulating Linear Programming Problems
Graphical Solution
The Optimal Solution and the Feasible Set
Using Excel Solver
Sensitivity Analysis
Minimization Subject to Constraints
Chapter 11 Answers to Practice Problems
Matrices in Economics
Introduction
Matrices and Vectors
Matrix Addition and Subtraction
Multiplication of Matrices
Handling Equation Systems
Determinants
Matrix Inversion
Systems of Equations in Economics
Matrix Operations in Excel
Chapter 12 Answers to Practice Problems
Index