Optimization : Foundations and Applications

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 mathematicsClassic 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.

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.

booknews

writing For Social Science Researchers, Miller (regional Science, U. Of Pennsylvania) Presents A Series Of Approaches To The Challenges Faced By Analysts. After Discussing The Foundations For Linear And Nonlinear Methods, He Discusses 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. Annotation C. Book News, Inc., Portland, Or (booknews.com)

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. "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. Ronald E. Miller provides detailed coverage of both classical, calculus-based approaches and newer, computer-based iterative methods."--BOOK JACKET. "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."--BOOK JACKET. This paperback edition of the popular 1999 title 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. This chapter introduces notation that encompasses groups or collections of elements (usually numbers) and presents for these groups of elements a series of definitions and operations that in many ways parallel those for ordinary numbers. Of 2 [times] 2 and 3 [times] 3 Solution Possibilities