Description
CAMBRIDGE UNIVERSITY PRESS A First Course In Optimization Theory by Rangarajan K. Sundaram
This book first published in 1996 introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters and the last part provides an extensive description of the fundamental principles of finite and infinitehorizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory and its applications for firstyear masters and graduate students. Cookbook procedures are accompanied by a discussion of when such methods are guaranteed to be successful and equally importantly when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter and three appendices are designed to keep the book mathematically selfcontained.