Optimization: Foundations and Applications

— —

H. Ronald Miller (Professor Emeritus, University of Pennsylvania, Philadelphia, Pennsylvania)

Optimization

Foundations and Applications

H. Ronald Miller (Professor Emeritus, University of Pennsylvania, Philadelphia, Pennsylvania)

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English

Wiley-Interscience
09 November 1999

Linear programming

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.

By: H. Ronald Miller (Professor Emeritus University of Pennsylvania Philadelphia Pennsylvania)
Imprint: Wiley-Interscience
Country of Publication: United States
Dimensions: Height: 255mm, Width: 179mm, Spine: 31mm
Weight: 1.154kg
ISBN: 9780471351696
ISBN 10: 0471351695
Pages: 676
Publication Date: 09 November 1999
Audience: General/trade , College/higher education , Professional and scholarly , ELT Advanced , A / AS level
Format: Paperback
Publisher's Status: Active

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.

RONALD E. MILLER, PhD, is professor emeritus of regional science at the University of Pennsylvania.

Reviews for Optimization: Foundations and Applications

The author's extensive teaching experience is reflected in his upbeat, relaxed writing style and preesntation. (Short Book Reviews, V21, No1, April 2001) ...accessible to people who have neither formal mathematical training nor any background in optimization... (SIAM Review, Vol. 43, No. 3)