A First Course in Optimization Theory

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Hardcover | 28 October 1996

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Hardcover
376 Pages

Dimensions(cm)
25.4 x 17.78 x 2.24

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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 infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory and its applications for first-year master's 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 self-contained.

Industry Reviews

'... the book is an excellent reference for self-studies, especially for students in business and economics.' H. Noltemeier, Wurzberg

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Mathematical preliminaries
Optimization in Rn
Existence of solutions: the Weierstrass theorem
Unconstrained optima
Equality constraints and the theorem of Lagrange
Inequality constraints and the theorem of Kuhn and Tucker
Convex structures in optimization theory
Quasi-convexity and optimization
Parametric continuity: the maximum theorem
Supermodularity and parametric monotonicity
Finite-horizon dynamic programming
Stationary discounted dynamic programming
Set theory and logic: an introduction
The real line
Structures on vector spaces
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

A First Course in Optimization Theory

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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The First 5000 Years

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