Mathematical methods and models for economists / Ángel de la Fuente.

Preface and Acknowledgments, xi -- Part I. Preliminaries, 3 -- 1. Review of basic concepts, 3 -- 2. Metric and normed spaces, 39 -- 3. Vector spaces and linear transformations, 117 -- 4. Differential calculus, 156 -- Part II. Statics, 195 -- 5. Static models and comparative statics, 195 -- 6. Convex sets and concave functions, 229 -- 7. Static optimization, 274 -- 8. Some applications to microeconomics, 325 -- Part III. Dynamics, 391 -- 9. Dynamical systems. I:basic concepts and scalar systems, 391 -- 10. Dynamical systems. II: higher dimensions, 457 -- 11. Dynamical systems III: some applications, 494 -- 12. An introduction to dynamic optimization, 549 -- 13. Some applications of dynamic optimization, 582 -- Appendix. Solutions to the problems, 659 -- Subject index, 827 -- Author index, 829.