Calculus of Finite Differences and Difference Equations in Economics

Introduction

1. Numerical and Function Series
1.1 Numerical Series
1.2 Function Series
1.3 Products
1.4 Summation Methods for Finite and Infinite Series

2. Calculus of Finite Differences and Sums
2.1 Basic Concepts of the Theory of Finite Differences and Sums
2.2 Indefinite and Definite Sums
2.3 Calculus of Finite Differences and Sums used for Summation of Series

3. Introduction to Difference Equations and Discrete Modeling of Economic Processes
3.1 First- and Second-Order Linear Difference Equations and Solution Methods
3.2 Equilibrium Points, Stability and Limiting Behaviour of Solutions of Difference Equations
3.3 Applications of Difference Equations in Economics - Some Examples

4. Dynamics of Demand and Supply
4.1 The Cobweb Model with Price Restrictions
4.2 Supply and Demand in the Market with Stocks
4.3 Adaptive Models
4.4 Interrelated Markets

5. Dynamics of Investment and Consumption Growth
5.1 Kahn s Multiplier and Samuelson s and Hicks Accelerator
5.2 Goods Market and Money Market
5.3 Inputs, Outputs and Demand for Capital

6. History of the Calculus of Finite Differences

Bibliography