This book is intended as a textbook for a first-year Ph D course in mathematics for economists & as a reference for graduate students in economics. It provides a self-contained rigorous treatment of most of the concepts & techniques required to follow the standard first-year theory sequence in micro & macroeconomics. The topics covered include an introduction to analysis in metric spaces differential calculus comparative statics convexity static optimization dynamical systems & dynamic optimization. The book
Includes:: a large number of applications to standard economic models & over two hundred fully worked-out problems.