Mathematical Models of Economic Growth and Crises

This book is intended as a textbook for a first-year PhDcourse in mathematics for economists and as a reference forgraduate students in economics. It provides a self-contained,rigorous treatment of most of the concepts and techniques requiredto follow the standard first-year theory sequence in micro andmacroeconomics. The topics covered include an introduction toanalysis in metric spaces, differential calculus, comparativestatics, convexity, static optimization, dynamical systems anddynamic optimization. The book includes a large number ofapplications to standard economic models and over two hundred fullyworked-out problems.