Basic Methods of Mathematical Economics

Author: Jiang Zhongyi
Publisher:
Publish Date: 2002-03-01
Features: The key feature of this book lies in its organic integration of the progressive development of economic analysis (from static analysis, comparative static analysis, optimization problems to dynamic analysis and mathematical programming) with the gradual progression of mathematical methods and tools from simple to complex. The content is systematic, comprehensive, and easy to understand, enabling students of economics who lack the necessary mathematical knowledge to grasp the fundamental methods of mathematical economics accurately without being overwhelmed by complex mathematical derivations.
This book covers the following main contents of economic analysis: Statics (equilibrium analysis), Comparative Statics, Optimization Problems (a special case of statics), Dynamics, and Mathematical Programming (a modern development of optimization). To master these contents, I introduce the following mathematical methods: matrix algebra, calculus, differential equations, difference equations, and convex sets. Due to the inclusion of numerous macroeconomic and microeconomic models, this book is highly beneficial for those who have received mathematical training but need a guide to lead them from the realm of mathematics into the hall of economics. For the same reason, this book can not only serve as a textbook for mathematical methods but also as supplementary reading for courses such as macroeconomic theory, microeconomic theory, economic growth and development theory, and others.