[E-Book] Fundamental Methods of Mathematical Economics by Alpha C. Chiang

by Economic Journal Division HIMA ESP FEB UNPAD

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Fundamental Methods of Mathematical Economics
Alpha C. Chiang
Third Edition

CONTENTS

Part 1   Introduction

• 1 The Nature of Mathematical Economics
• 2 Economic Models

Part 2   Static (or Equilibrium) Analysis

• 3 Equilibrium Analysis in Economics
• 4 Linear Models and Matrix Algebra
• 5 Linear Models and Matrix Algebra (Continued)

Part 3   Comparative-Static Analysis

• 6 Comparative Statics and the Concept of Derivative
• 7 Rules of Differentiation and Their Use in Comparative Statics
• 8 Comparative-Static Analysis of General-Function Models

Part 4   Optimization Problems

• 9 Optimization: A Special Variety of Equlibrium Analysis
• 10 Exponential and Logarithmic Functions
• 11 The Case of More Than One Choice Variable
• 12 Optimization with Equality Constraints

Part 5   Dynamic Analysis

• 13 Economic Dynamics and Integral Calculus
• 14 Continuous Time: First-Order Differential Equations
• 15 Higher-Order Differential Equations
• 16 Discrete Time: First-Order Difference Equations
• 17 Higher-Order Difference Equations
• 18 Simultaneous Differential Equations and Difference Equations

Part 6   Mathematical Programming

• 19 Linear Programming
• 20 Linear Programming (Continued)
• 21 Nonlinear Programming