Mathematical Methods and Models for Economists

✍ Scribed by Angel de la Fuente

• Publisher: Cambridge University Press
• Year: 2000
• Tongue: English
• Leaves: 835
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Contents......Page 1
Preface......Page 7
1 - Review of Basic Concepts......Page 9
2 - Metric and Normed Spaces......Page 45
3 - Vector Spaces and Linear Transformations......Page 123
4 - Differential Calculus......Page 162
5 - Static Models and Comparative Statics......Page 199
6 - Convex Sets and Concave Functions......Page 233
7 - Static Optimization......Page 278
8 - Some Applications to Microeconomics......Page 329
9 - Dynamical Systems. I Basic Concepts and Scalar Systems......Page 393
10 - Dynamical Systems. II Higher Dimensions......Page 459
11 - Dynamical Systems III Some Applications......Page 496
12 - An Introduction to Dynamic Optimization......Page 551
13 - Some Applications of Dynamic Optimization......Page 584
Appendix. Solutions to the Problems......Page 659
Subject index......Page 827
Author index......Page 834