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Fundamental Methods of Mathematical Economics by Alpha C. Chiang

It has been twenty years since the last edition of this classic book. Kevin Wainwright (British Columbia University and Simon Fraser University), a long time user of the text, has executed the perfect revision: he has updated examples, applications and theory without changing the elegant, precise presentation style of Alpha Chiang. Readers will find the wait was worthwhile.

Brief Contents:

PART ONE INTRODUCTION

1. The Nature of Mathematical Economics
2. Economic Models

PART TWO STATIC (OR EQUILIBRIUM) ANALYSIS

3. Equilibrium Analysis in Economics
4. Linear Models and Matrix Algebra
5. Linear Models and Matrix Algebra

PART THREE 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 FOUR OPTIMIZATION PROBLEMS

9. Optimization: A Special Variety of Equilibrium Analysis
10. Exponential and Logarithmic Functions
11. The Case of More than One Choice Variable
12. Optimization with Equality Constraints
13. Further Topics in Optimization

PART FIVE DYNAMIC ANALYSIS

14. Economic Dynamics and Integral Calculus
15. Continuous Time: First-Order Differential Equations
16. Higher-Order Differential Equations
17. Discrete Time: First-Order Difference Equations
18. Higher-Order Difference Equations
19. Simultaneous Differential Equations and Difference Equations
20. Optimal Control Theory
The Greek Alphabet
Mathematical Symbols
A Short Reading List
Answers to Selected
Exercises

 

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