Fundamental Methods of Mathematical Economics
Table of Contents

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Program Details

PART 1 Introduction

Chapter 1: The Nature of Mathematical Economics

Chapter 2: Economic Models

PART 2 Static (or Equilibrium) Analysis

Chapter 3: Equilibrium Analysis in Economics

Chapter 4: Linear Models and Matrix Algebra

Chapter 5: Linear Models and Matrix Algebra (continued)

PART 3 Comparative-Static Analysis

Chapter 6: Comparative Statics and the Concept of the Derivative

Chapter 7: Rules of Differentiation and their use in Comparative Statics

Chapter 8: Comparative-Static Analysis of General-Function Models

PART 4 Optimization Problems

Chapter 9: Optimization: A Special Variety of Equilibrium Analysis

Chapter 10: Exponential and Logarithmic Functions

Chapter 11: The Case of More Than One Choice Variable

Chapter 12: Optimization with Equality Constraints

NEW Chapter 13: Further Topics in Optimization (includes Envelope Theorem and Duality

PART 5 Dynamic Analysis

Chapter 14 Economic Analysis and Integral Calculus

Chapter 15 Continuous Time: First Order Differential Equations

Chapter 16 Higher-Order Differential Equations

Chapter 17 DiscreteTime: First Order Difference Equations

Chapter 18 Higher Order Difference Equations

Chapter 19 Simultaneous Differential Equations and Difference Equations

NEW Chapter 20: Introduction to Optimal Control Theory