Optimization Theory / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$120.06
Used and New from Other Sellers
Used and New from Other Sellers
from $89.01
Usually ships in 1-2 business days
(Save 40%)
Other sellers (Hardcover)
  • All (4) from $89.01   
  • New (2) from $119.33   
  • Used (2) from $89.01   

Overview

"Optimization Theory is becoming a more and more important mathematical as well as interdisciplinary area, especially in the interplay between mathematics and many other sciences like computer science, physics, engineering, operations research, etc." "This volume gives a comprehensive introduction into the theory of (deterministic) optimization on an advanced undergraduate and graduate level." "One main feature is the treatment of both continuous and discrete optimization at the same place. This allows the study of the problems from different points of view, supporting a better understanding of the entire field." Audience: The book can be adapted well as an introductory textbook into optimization theory on a basis of a two semester course: however, each of its parts can also be taught separately. Many exercise are included to increase the readers' understanding.
Read More Show Less

Editorial Reviews

From the Publisher

From the reviews:

"If you have to read a book about (deterministic) optimization in finite dimension, this is the one. The book covers the whole theory of modern optimization; the authors have included a lot of exercises, examples and figures that make the book understandable and more interesting. All the current knowledge on existence of solutions, optimality criteria, structural properties of the models as well as the algorithms … have been included in this work in a rigorous, concise and elegant manner." (Francisco Guerra Vazquez, Zentralblatt MATH, Vol. 1059 (10), 2005)

"The book covers a wide range of subjects pertaining to mathematical programming … . The various subjects are described in considerable detail, several examples are given and numerous examples problems are proposed. The authors write that the book is intended for undergraduates and graduates, but I think that it might be useful also for those postgraduates who wish to learn the basic aspects of mathematical programming … . The book has a rich list of bibliographical references which are surely useful … ." (Giorgio Giorgi, Mathematical Reviews, Issue 2005 b)

Read More Show Less

Product Details

  • ISBN-13: 9781402080982
  • Publisher: Springer US
  • Publication date: 7/20/2004
  • Edition description: 2004
  • Edition number: 1
  • Pages: 456
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.00 (d)

Table of Contents

I Continuous optimization 1
1 Optimality criteria on simple regions 3
2 Constraints, Lagrange function, optimality 19
3 Parametric aspects, semi-infinite optimization 35
4 Convex functions, duality, separation theorem 49
5 Linear inequalities, constraint qualifications 67
6 Linear programming : the simplex method 81
7 The ellipsoid method 97
8 Karmarkar's method for linear programming 113
9 Order of convergence, steepest descent 125
10 Conjugate direction, variable metric 141
11 Penalty-, barrier-, multiplier-, IP-methods 153
12 Search methods without derivatives 173
13 One-dimensional minimization 183
II Discrete optimization 191
14 Graphs and networks 193
15 Flows in networks 227
16 Applications of the max-flow min-cut theorem 239
17 Integer linear programming 257
18 Computability; the Turing machine 271
19 Complexity theory 283
20 Reducibility and NP-completeness 301
21 Some NP-completeness results 313
22 The random access machine 329
23 Complexity theory over the real numbers 333
24 Approximating NP-hard problems 353
25 Approximation algorithms for TSP 365
26 Approximation algorithms for bin packing 375
27 A FPTAS for knapsack 383
28 Miscellaneous 391
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)