Mathematical Methods and Models for Economists

EAN: 9780521585293
Published 06/04/2000
Language: English

This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.

Part I. Preliminaries
1. Review of basic concepts
2. Metric and normed spaces
3. Vector spaces and linear mappings
4. Differential calculus
Part II. Statics
5. Static models and comparative statics
6. Convex sets and concave functions
7. Static Optimization
8. Some applications to microeconomics
Part III. Dynamics
9. Dynamical systems I
basic concepts and scalar systems
10. Dynamical systems II
higher dimensions
11. Dynamical systems III
some applications
12. An introduction to dynamic optimization
13. Some applications to dynamic optimization
Appendix
Indexes.