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A First Course in Optimization Theory [Paperback]

Rangarajan K. Sundaram (Author)

4.4 out of 5 stars See all reviews (5 customer reviews)

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Product Details

Paperback: 375 pages
Publisher: Cambridge University Press; 1 edition (Jun 13 1996)
Language: English
ISBN-10: 0521497701
ISBN-13: 978-0521497701
Product Dimensions: 2.5 x 1.8 x 0.2 cm
Shipping Weight: 658 g

Average Customer Review: 4.4 out of 5 stars See all reviews (5 customer reviews)

Amazon Bestsellers Rank: #245,647 in Books (See Top 100 in Books)
- #25 in Books > Science > Mathematics > Applied > Linear Programming
- #37 in Books > Nonfiction > Economics > Econometrics
- #62 in Books > Science > Evolution > Game Theory

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Product Description

Review

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

Book Description

This book 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. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

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Inside This Book (Learn More)

First Sentence
This chapter lays the mathematical foundation for the study of optimization that occupies the rest of this book. Read the first page

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Customer Reviews

5 Reviews

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Average Customer Review

4.4 out of 5 stars (5 customer reviews)

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2 of 2 people found the following review helpful

3.0 out of 5 stars Unless you're into theory, this book is NOT for you, Sep 30 2000

Ernest Blair (San Diego, CA USA) - See all my reviews

This review is from: A First Course in Optimization Theory (Paperback)

I'm a applied mathematician with over 40 quarter hours of theoretical math under my belt, and frankly I feel this book would be rough going for anyone who does not have a rigid math theory background. In other words, if you're not a graduate student or a theoretical practioner in the field of optimization, this is NOT the book for you (most likely). But I also have two other problems with this book.

First, it is touted to have numerious examples of both theory and applications. Theory, as I mentioned above, it has in abundance. But it is very thin on practical applications.

Second, this book has numerious problems at the ends of the chapters WITH NONE OF THEM WORKED OUT! Frankly, I'm not really interested in paying almost $30 for a paperback book that is unfinished.

Perhaps I was expecting much more than what I got after reading the glowing reviews above; and in hindsight, I really should have paid more attention to the title as "Theory" is indeed the operative word. My irritation is not in the book itself, as the author states in his forward that he is writing a book aimed the graduate school set; but is aimed at the reviewers above which led me to think that this text was much wider based than it turned out to be.

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1 of 1 people found the following review helpful

5.0 out of 5 stars Excellent book for PhD students in Operations Management, Sep 2 1999

By A Customer

This review is from: A First Course in Optimization Theory (Paperback)

This is an excellent book for anybody interested in non-linear optimization within economics framework. The book is self-contained and includes all the basic theory one needs to know to understand optimization. To my knowledge, this is the only book merging non-linear optimization with game theory and such concepts as supermodularity and parametric monotonicity.

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5.0 out of 5 stars The title says it all, April 2 2004

By A Customer

This review is from: A First Course in Optimization Theory (Paperback)

A first course in Optimization theory - that is what the book is. The target audience is those who are inetersted in the theory of optimization. Some familiarity with Mathematical Analysis and Matrix Algebra would be helpful; however the first chapter lays the mathematical foundation and a careful reading would enable the reader to tackle the rest of the book.

Previous reviews have made a chapter by chapter analysis of the book and hence I will just highlight some of the things I liked about the approach used by the author. Whenever a theorem is stated different examples are given to emphasize the points. For example when stating the Lagrange Theorem and Kuhn-Tucker theorem the author points out when the theorems fail and gives detailed examples to illustrate the ideas. The author often draws from examples in finance to illustrate the practical importance of the theory. The one I liked most was how a cost minimization problem was solved by reducing the solution space to a compact space and then applying the Weierstrass theorem. The author also shows how some of the "cookbook" procedures really work and warns the readers against potential pitfalls in applying such procedures. If you are planning to study optimization theory and are looking for a good entry point into the subject this book is for you.

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Most recent customer reviews

4.0 out of 5 stars Good introduction to the field of optimization
This book gives a nice introduction to the theory of optimization from a purely mathematical standpoint. Read more

Published on Mar 21 2001 by Dr. Lee D. Carlson

5.0 out of 5 stars Great book and an even greater value
This book was organized and written with perfection. The explanations are remarkable and the "cookbook" procedures for Lagrange and K-T methods were great. Read more

Published on Dec 8 1999 by Andrew Cusano