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General & Miscellaneous Engineering, Computer Mathematics
Mathematical Programming Model by Castillo β€” book cover

Mathematical Programming Model

by Castillo, Enrique Castillo, Ricardo Garcia, Pablo Pedregal, Natalia Alguacil
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Overview

Modeling is one of the most appealing areas in engineering and applied sciences. Engineers need to build models to solve real life problems. The aim of a model consists of reproducing the reality as faithfully as possible, trying to understand how the real world behaves, and obtaining the expected responses to given actions or inputs. Many types of models are used in practice, such as differential equations models, function equation models, finite difference and finite element models, mathematical programming models, etc.

Synopsis

Fundamental concepts of mathematical modeling

Modeling is one of the most effective, commonly used tools in engineering and the applied sciences. In this book, the authors deal with mathematical programming models both linear and nonlinear and across a wide range of practical applications.

Whereas other books concentrate on standard methods of analysis, the authors focus on the power of modeling methods for solving practical problems-clearly showing the connection between physical and mathematical realities-while also describing and exploring the main concepts and tools at work. This highly computational coverage includes:
* Discussion and implementation of the GAMS programming system
* Unique coverage of compatibility
* Illustrative examples that showcase the connection between model and reality
* Practical problems covering a wide range of scientific disciplines, as well as hundreds of examples and end-of-chapter exercises
* Real-world applications to probability and statistics, electrical engineering, transportation systems, and more


Building and Solving Mathematical Programming Models in Engineering and Science is practically suited for use as a professional reference for mathematicians, engineers, and applied or industrial scientists, while also tutorial and illustrative enough for advanced students in mathematics or engineering.

About the Author, Castillo

ENRIQUE CASTILLO, PhD, is Full Professor of Applied Mathematics at the University of Cantabria in Santander, Spain.

ANTONIO J. CONEJO, PhD, is Full Professor of Electrical Engineering at the Universidad de Castilla La Mancha, Ciudad Real, Spain.

PABLO PEDREGAL, PhD, is Full Professor of Applied Mathematics at the University of Cantabria.

RICARDO GARCIA is a mathematician in the fields of optimization and operation research.

NATALIA ALGUACIL, PhD, researches optimization by decomposition techniques.

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Editorials

From the Publisher

"...plenty of examples are given...suitable for mathematical programming undergraduate courses..." (Zentralblatt Math, Vol. 1029, 2004)

"I think this textbook is worth having in the college library…” (Interfaces, July-August 2003)

"...can be quite valuable because of its documentation of the GAMS software product...a means to learn and utilize a sophisticated linear and nonlinear programming tool." (Journal of Mathematical Psychology, 2002)

"...a welcome addition to the series of publications on mathematical programming applications to engineering problems..." Note: Review features an image of wiley.com. (IEEE Computer Applications in Power)

"...intention is to discuss the subject from an angle different from the standard, emphasizing conditions leading to well-defined problems, compatibility and uniqueness of solutions." (Mathematical Reviews, 2002i)

"...a useful and welcome addition to existing books on mathematical programming…I recommend this book..." (IIE Transactions)

"...very well suited as a professional reference or as a text for advanced mathematics or engineering courses." (Journal of Applied Mathematics and Stochastic Analysis, Vol. 15, No. 4)

Book Details

Published
October 1, 2001
Publisher
Wiley, John & Sons, Incorporated
Pages
568
Format
Hardcover
ISBN
9780471150435

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