Mathematical Methods and Models for Economists / Edition 1

by Angel de la Fuente

Overview

This book is intended as a textbook for a first-year Ph. D. 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.

Product Details

ISBN-13:	9780521585293
Publisher:	Cambridge University Press
Publication date:	01/28/2000
Edition description:	New Edition
Pages:	848
Product dimensions:	6.97(w) x 10.04(h) x 1.61(d)

Table of Contents

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.

What People are Saying About This

From the Publisher

'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

Editorial Reviews

'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

From the Publisher

The author, who is affiliated with two academic institutions in Barcelona and with the Centre for Economic Policy Research in London, specializes in mathematical economics and in growth and regional economics. Here he presents material for a first-year Ph.D. course in mathematics for economists, providing a self-contained treatment. Coverage includes analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems, and dynamic optimization. Numerous worked out problems and applications to standard economic models are provided. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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