H Ronald Miller

Optimization

Foundations and Applications

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Wiley
• Seitenzahl: 676
• Erscheinungstermin: 23. November 1999
• Englisch
• Abmessung: 254mm x 178mm x 36mm
• Gewicht: 1243g
• ISBN-13: 9780471351696
• ISBN-10: 0471351695
• Artikelnr.: 20952673

Autorenporträt

I love children of all ages, and love reading to children. It is such a joy watching them grow, not only physically, but socially and mentally as well. I have worked many years with children and have loved every minute. I am always amazed how fast they learn, and I love being a part of that learning process. I have worked in the classroom and in many summer camps for kids and teens, helping them build confidence and self-esteem to conquer their tasks. I have kids of my own that I have encouraged to succeed and be independent. I love seeing everyone succeed, especially in their courage, certainty, and self-esteem.I love sailing, photography, hiking, camping, scuba diving, motorcycle riding, and spending time with family. If it involves water, outdoors or family, then chances are I love it.

Inhaltsangabe

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.

Rezensionen

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)