Description
Book SynopsisThis 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.
Trade Review'The textbook is highly recommended to graduate students of economics. Furthermore, it provides a useful mathematical reference for researchers in economics.' Roland Fahrion, Zentralblatt MATH
'… an extensive introduction into the mathematic needed in the field of economics.' Simulation News Europe
Table of ContentsPart 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.
