Optimization

A thorough and highly accessible resource for analysts in a broadrange of social sciences.

Optimization: Foundations and Applications presents a series ofapproaches to the challenges faced by analysts who must find thebest way to accomplish particular objectives, usually with theadded complication of constraints on the available choices.Award-winning educator Ronald E. Miller provides detailed coverageof both classical, calculus-based approaches and newer,computer-based iterative methods.

Dr. Miller lays a solid foundation for both linear and nonlinearmodels and quickly moves on to discuss applications, includingiterative methods for root-finding and for unconstrainedmaximization, approaches to the inequality constrained linearprogramming problem, and the complexities of inequality constrainedmaximization and minimization in nonlinear problems. Otherimportant features include:

* More than 200 geometric interpretations of algebraic results,emphasizing the intuitive appeal of mathematics

* Classic results mixed with modern numerical methods to aidusers of computer programs

* Extensive appendices containing mathematical details importantfor a thorough understanding of the topic

With special emphasis on questions most frequently asked by thoseencountering this material for the first time, Optimization:Foundations and Applications is an extremely useful resource forprofessionals in such areas as mathematics, engineering, economicsand business, regional science, geography, sociology, politicalscience, management and decision sciences, public policy analysis,and numerous other social sciences.

An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.Analysten sehen sich heutzutage zunehmend der Aufgabe gegenüber, den optimalen Weg zum Erreichen eines Ziels unter Berücksichtigung von Randbedingungen zu finden. Dieses Buch berücksichtigt neben den klassischen Optimierungsansätzen der Infinitesimalrechnung auch neuere iterative Verfahren. Algebraische Ergebnisse werden geometrischen Interpretationen gegenübergestellt, wobei viel Wert auf die Entwicklung der mathematischen Intuition gelegt wird. Mit über 200 anschaulichen Abbildungen. (12/99)
FOUNDATIONS: LINEAR METHODS.

Matrix Algebra.

Systems of Linear Equations.

FOUNDATIONS: NONLINEAR METHODS.

Unconstrained Maximization and Minimization.

Constrained Maximization and Minimization.

APPLICATIONS: ITERATIVE METHODS FOR NONLINEAR PROBLEMS.

Solving Nonlinear Equations.

Solving Unconstrained Maximization and Minimization Problems.

APPLICATIONS: CONSTRAINED OPTIMIZATION IN LINEAR MODELS.

Linear Programming: Fundamentals.

Linear Programming: Extensions.

Linear Programming: Interior Point Methods.

APPLICATIONS: CONSTRAINED OPTIMIZATION IN NONLINEAR MODELS.

Nonlinear Programming: Fundamentals.

Nonlinear Programming: Duality and Computational Methods.

Problems.

References. The author's extensive teaching experience is reflected in hisupbeat, relaxed writing style and preesntation. (Short BookReviews, V21, No1, April 2001)

"...accessible to people who have neither formal mathematicaltraining nor any background in optimization...this text could beuseful for an introductory class on optimization..." (SIAM Review,Vol. 43, No. 3) RONALD E. MILLER, PhD, is professor emeritus of regional science at the University of Pennsylvania. A thorough and highly accessible resource for analysts in a broad range of social sciences.

Optimization: Foundations and Applications presents a series of approaches to the challenges faced by analysts who must find the best way to accomplish particular objectives, usually with the added complication of constraints on the available choices. Award-winning educator Ronald E. Miller provides detailed coverage of both classical, calculus-based approaches and newer, computer-based iterative methods.

Dr. Miller lays a solid foundation for both linear and nonlinear models and quickly moves on to discuss applications, including iterative methods for root-finding and for unconstrained maximization, approaches to the inequality constrained linear programming problem, and the complexities of inequality constrained maximization and minimization in nonlinear problems. Other important features include:

• More than 200 geometric interpretations of algebraic results, emphasizing the intuitive appeal of mathematics
• Classic results mixed with modern numerical methods to aid users of computer programs
• Extensive appendices containing mathematical details important for a thorough understanding of the topic

With special emphasis on questions most frequently asked by those encountering this material for the first time, Optimization: Foundations and Applications is an extremely useful resource for professionals in such areas as mathematics, engineering, economics and business, regional science, geography, sociology, political science, management and decision sciences, public policy analysis, and numerous other social sciences.