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.
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.
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.
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.
Rezensionen
'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
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