Mathematical methods and models for economists /

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 m...

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Bibliographic Details
Format: Book
Language:English
Published: New York, N.Y. : Cambridge University Press, c2000, reimpr. 2009
Subjects:
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Table of Contents:
  • Pte.1. Preliminaries: 1. Review of basic concepts
  • 2. Metric and normed spaces
  • 3. Vector spaces and linear transformations
  • 4. Differential calculus
  • Pte.2. Statics: 5. Static models and comparative statics
  • 6. Convex sets and concave functions
  • 7. Static optimization
  • 8. Some applications to microeconomics
  • Pte.3. Dynamics: 9. Dynamical systems, basic concepts and scalar systems
  • 10. Dynamical systems, higher dimensions
  • 11. Dynamical systems, some applications
  • 12. An introduction to dynamic optimization
  • 13. Some applications of dynamic optimization
  • Appendix: solutions to the problems.