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A First Course in Optimization Theory | 
 enlarge | Author: Rangarajan K. Sundaram
Publisher: Cambridge University Press
Category: Book
List Price: $38.99
Buy New: $33.29
You Save: $5.70 (15%)
New (17) Used (8) from $29.95
Rating:  10 reviews
Sales Rank: 16666
Media: Paperback
Pages: 375
Number Of Items: 1
Shipping Weight (lbs): 1.5
Dimensions (in): 9.9 x 6.9 x 0.9
ISBN: 0521497701
Dewey Decimal Number: 519.3
EAN: 9780521497701
Publication Date: June 13, 1996
Availability: Usually ships in 24 hours
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Product 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.
Book Description
Divided into three separate parts, this book introduces students to optimization theory and its use in economics and allied disciplines. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.
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| Customer Reviews: Read 5 more reviews...
 Great book and an even greater value December 8, 1999
Andrew Cusano (Lincoln, NE USA)
26 out of 29 found this review helpful
This book was organized and written with perfection. The explanations are remarkable and the "cookbook" procedures for Lagrange and K-T methods were great. I especially admired the fact that the author actually mentioned how these procedures could fail to yield an optimized value. This is worthwhile in today's university mathematics where one is simply taught to plug numbers into formulae and algorithms to get the desired answer. The book also slants towards optimization problems in economic theory as well as other disciplines. Finally, in an age when textbooks can easily run over $100, it was nice to see this book, filled with a wealth of information, so moderately priced.
Couldn't ask for much more. February 1, 2005
John Morrow (Madison, WI United States)
6 out of 7 found this review helpful
An excellent introduction at this level which is both lucid and rigorous with just enough examples to motivate applications while not leaving the reader swimming in redundancy. The previous review gives details, but I will add that the proofs are concise and clear. The only thing I would add to this book is more and harder problems, but that is easily remedied. If you want a theoretical introduction, buy this book right now -- its one of the best textbooks I have ever seen.
Outstanding... a MUST April 12, 2005
Hector (Argentina)
3 out of 4 found this review helpful
Excellent introduction to optimization techniques with a special emphasis to induce the student to an active and positive attitude towards the rigoruous demonstration of every proposition behind theorems and economic models.
This is not a book for beginners, but an excellent one that helps to develop the abilities required to understand modern textbooks and papers on micro and macroeconomics.
With an excellent presentation, and interesting end-of-chapter exercises, this book cannot be out of every economist's toolbox.
Excellent book for PhD students in Operations Management September 3, 1999
15 out of 17 found this review helpful
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.
The title says it all April 2, 2004
10 out of 11 found this review helpful
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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