Description
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems.
Unifies the field of optimization with a few geometric principles
The number of books that can legitimately be called classics in their fields is small indeed, but David Luenberger’s Optimization by Vector Space Methods certainly qualifies. Not only does Luenberger clearly demonstrate that a large segment of the field of optimization can be effectively unified by a few geometric principles of linear vector space theory, but his methods have found applications quite removed from the engineering problems to which they were first applied. Nearly 30 years after its initial publication, this book is still among the most frequently cited sources in books and articles on financial optimization.
The book uses functional analysisthe study of linear vector spacesto impose simple, intuitive interpretations on complex, infinite-dimensional problems. The early chapters offer an introduction to functional analysis, with applications to optimization. Topics addressed include linear space, Hilbert space, least-squares estimation, dual spaces, and linear operators and adjoints. Later chapters deal explicitly with optimization theory, discussing
- Optimization of functionals
- Global theory of constrained optimization
- Local theory of constrained optimization
- Iterative methods of optimization.
End-of-chapter problems constitute a major component of this book and come in two basic varieties. The first consists of miscellaneous mathematical problems and proofs that extend and supplement the theoretical material in the text; the second, optimization problems, illustrates further areas of application and helps the reader formulate and solve practical problems.
For professionals and graduate students in engineering, mathematics, operations research, economics, and business and finance, Optimization by Vector Space Methods is an indispensable source of problem-solving tools.
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
- Langue
- en
- Version
- Broché
- Date de sortie initiale
- 16 janvier 1998
- Nombre de pages
- 344
- Illustrations
- Non
Personnes impliquées
- Auteur principal
-
David G. Luenberger
- Editeur principal
-
Onbekend
Informations sur le fabricant
- Nom du fabricant
- Wiley-VCH GmbH
- Adresse du fabricant
- Boschstrasse 12 | 69469| Weinheim| DE
- Adresse électronique du fabricant
- product_safety@wiley.com
- Informations sur le fabricant
- Les informations du fabricant ne sont actuellement pas disponibles
Autres spécifications
- Hauteur de l’emballage
- 19 mm
- Hauteur du produit
- 23 mm
- Largeur d’emballage
- 159 mm
- Largeur du produit
- 147 mm
- Livre d‘étude
- Non
- Longueur d’emballage
- 235 mm
- Longueur du produit
- 221 mm
- Poids de l’emballage
- 476 g
- Police de caractères extra large
- Non
- Édition
- New ed
EAN
- EAN
- 9780471181170
Sécurité des produits
- Opérateur économique responsable dans l’UE
-
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Vous trouverez cet article :
- Catégories
-
Science et nature
Mathématiques
Calcul et analyse mathématique
Géométrie
Optimisation
Mathématiques appliquées
Topologie
Livres
- Livre, ebook ou livre audio ?
-
Livre
- Disponibilité
-
Disponible à l’adresse suivante
- Langue
-
Anglais
- Type de livre
-
Paperback
