Skip to content
Home/ Optimization Problems (Softcover Reprint of the Original 1st 1975)
Optimization Problems (Softcover Reprint of the Original 1st 1975)

Optimization Problems (Softcover Reprint of the Original 1st 1975)

No customer reviews yet ISBN 9780387901435

The German edition of this book, first published in 1966, has been quite popular; we did not, however, consider publishing an English edition because a number of excellent textbooks in this field already exist. In recent years, how- ever, the wish was frequently expressed that, especially, the description of the relationships between optimization and other subfields of mathematics, which is not to be found in this form in other texts, might be made available to a wider readership; so it was with this in mind that, be- latedly, a translation was undertaken after all. Since the appearance of the German edition, the field of optimization has continued to develop at an unabated rate. A completely current presentation would have required a total reworking of the book; unfortunately, this was not possible. For example, we had to ignore the extensive progress which has been made in the development of numerical methods which do not require convexity assumptions to find local maxima and minima of non-linear optimization problems. These methods are also applicable to boundary value, and other, problems. Many new results, both of a numerical and a theoretical na- ture, which are especially relevant to applications, are to be found in the areas of optimal contol and integer optimiza- tion.

About the author

Product details

Pub dateJul 23, 1975
ISBN-100387901434
ISBN-139780387901435
LanguageEnglish
Last updated 2026-06-12 23:06
$114.64
In stock — ships in 24 hours with free tracking
Delivery by Monday, September 14, 2026
Qty
Sign in to Add to Saved list
Free delivery on orders over $35.
15-day returns. Any reason.
Secure checkout. We never store card details.

Readers who bought this also bought

More from Linear & Nonlinear Programming
See all
Multicriteria Optimization in Engineering and in the Sciences (1988)
We are rarely asked to. make decisions based on only one criterion&#x3b; most often, decisions are based on several usually confticting, criteria. In nature, if the design of a system evolves to some final, optimal state, then it must include a balance for the interaction of the system with its surroundings- certainly a design based on a variety of criteria. Furthermore, the diversity of nature's designs suggests an infinity of such optimal states. In another sense, decisions simultaneously optimize a finite number of criteria, while there is usually an infinity of optimal solutions. Multicriteria optimization provides the mathematical framework to accommodate these demands. Multicriteria optimization has its roots in mathematical economics, in particular, in consumer economics as considered by Edgeworth and Pareto. The critical question in an exchange economy concerns the "equilibrium point" at which each of N consumers has achieved the best possible deal for hirnself or herself. Ultimately, this is a collective decision in which any further gain by one consumer can occur only at the expense of at least one other consumer. Such an equilibrium concept was first introduced by Edgeworth in 1881 in his book on mathematical psychics. Today, such an optimum is variously called "Pareto optimum" (after the Italian-French welfare economist who continued and expanded Edgeworth's work), "effi. cient," "nondominated," and so on.
$177.01