De la Fuente A. Mathematical Methods and Models for Economists

Cambridge University Press, 2000. – 836 p. – ISBN: 0521585295, 0521585120, 9780521585293This 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.Preliminaries
Review of basic concepts
Metric and normed spaces
Vector spaces and linear mappings
Differential calculus
Statics
Static models and comparative statics
Convex sets and concave functions
Static Optimization
Some applications to microeconomics
Dynamics
Dynamical systems I: basic concepts and scalar systems
Dynamical systems II: higher dimensions
Dynamical systems III: some applications
An introduction to dynamic optimization
Some applications to dynamic optimizationIndexes.