Angel de la FuenteCambridge University PressEdition: Illustrated, 4/6/2000EAN 9780521585293, ISBN10: 0521585295Paperback, 848 pages, 25.4 x 17.8 x 4.3 cmLanguage: EnglishThis 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. Preliminaries1. Review of basic concepts2. Metric and normed spaces3. Vector spaces and linear mappings4. Differential calculusPart II. Statics5. Static models and comparative statics6. Convex sets and concave functions7. Static Optimization8. Some applications to microeconomicsPart III. Dynamics9. Dynamical systems Ibasic concepts and scalar systems10. Dynamical systems IIhigher dimensions11. Dynamical systems IIIsome applications12. An introduction to dynamic optimization13. Some applications to dynamic optimizationAppendixIndexes.'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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