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Rangarajan K. Sundaram

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A First Course in Optimization Theory Paperback – 29 August 1996

by Rangarajan K. Sundaram (Author)

48

Edition: 1^st

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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.

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ISBN-10

0521497701
ISBN-13

978-0521497190
Edition

1st
Publisher

Cambridge University Press
Publication date

29 August 1996
Language

English
Dimensions

17.48 x 2.16 x 25.4 cm
Print length

376 pages
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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, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines.

Product details

Publisher ‏ : ‎ Cambridge University Press; 1st edition (29 August 1996)
Language ‏ : ‎ English
Paperback ‏ : ‎ 376 pages
ISBN-10 ‏ : ‎ 0521497701
ISBN-13 ‏ : ‎ 978-0521497190
Dimensions ‏ : ‎ 17.48 x 2.16 x 25.4 cm

Best Sellers Rank: 344,548 in Books (See Top 100 in Books)
- 64 in Economic Theory Textbooks
- 137 in Game Theory (Books)
- 371 in Econometrics (Books)

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48

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Behrooz Moniri

Not the most student friendly book!

Reviewed in the United Kingdom on 2 April 2022

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I have read the material and is fairly well written and easy to understand, but the author does not provide the tiniest hint on how to solve the exercises nor does it provide any (not even nor odd) answers at the end of the book, which is a great shame!

chrismathen

Good

Reviewed in India on 14 December 2020

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Good

Trevor Burnham

A must-have reference

Reviewed in the United States on 11 March 2009

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If you're a graduate student in economics, or perhaps computer science, buy this book as soon as possible. It will make your life much, much easier. Lagrangeans and Kuhn-Tucker optimization are the bread and butter of microeconomics, and yet few professors will bother to go into them in detail. This book succeeds in making these abstract mathematical procedures feel tangible and intuitive, defining them rigorously, explaining their usefulness and providing examples. This is one of very few books that I keep on my shelf for reference.

For a broader (and equally necessary) introduction to the math that you'll need for advanced study in economics, I recommend Simon and Blume's Mathematics for Economists .

5 people found this helpful

ま2007

直観的には把握しにくい書き方ですな

Reviewed in Japan on 19 October 2009

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最適化理論の教科書．基本的な理論は，KKTの二次の条件や無限Horizonの動的計画問題も含めて，一通り載っている．証明もきちんと書いてある．きちんと書いてあるが，数学ができる人じゃないと読むのはすごく辛いでしょう．なお，かなり経済学よりなので，具体的なデータを入れた後に実質的に解けるかどうかにはほとんど感知していません．

読む人にもよるのでしょうが，例題や証明や論理の流れがどうも直感的には把握しにくいものになっていると思います．評者の場合は，数式番号が入っておらず，当然ながら読みながらの相互参照を促す説明もほとんどないことにストレスがたまりました．

8 people found this helpful

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Max Yakovlev

Best optimization text out there

Reviewed in the United States on 4 August 2019

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Best graduate-level optimization textbook to start getting familiar with optimization and its applications in economics and business!

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