Optimization: Foundations and Applications

Optimization: Foundations and Applications

Author(s): Ronald E. Miller

Published Online: 22 FEB 2011 12:38PM EST

Print ISBN: 9780471351696

Online ISBN: 9781118032930

DOI: 10.1002/9781118032930

About this Book

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.

    An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Table of contents

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  1. Part I: Foundations: Linear Methods

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  2. Part II: Foundations: Nonlinear Methods

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  3. Part III: Applications: Iterative Methods for Nonlinear Problems

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  4. Part IV: Applications: Constrained Optimization in Linear Models

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  5. Part V: Applications: Constrained Optimization in Nonlinear Models

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