Advanced Mathematical Modeling with Technology

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A01=Robert E. Burks
A01=William P. Fox
advanced quantitative modeling strategies
AHP Method
Alternate Optimal Solutions
Author_Robert E. Burks
Author_William P. Fox
Category=PBWH
Closed Form Analytical Solutions
Computer technology
DDS
DEA
decision analysis tools
discrete dynamical systems
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equalizing Strategies
Equilibrium Points
Euler's Method
Euler’s Method
Final Interval
Graduate students
Hessian Matrix
Improved Euler's Method
Improved Euler’s Method
LP
MADM
MADM Method
Mathematical modeling courses
Multi-attribute decision making
Nash Equilibrium
Number Function Evaluations
numerical solution methods
optimization algorithms
Ordinary Differential Equations
Phase Portrait
Poisson Regression
Quantitative approaches
regression analysis techniques
simulation modeling applications
Sinusoidal Regression
Sir Model
Slope Field
SP6 Computer
Terror Bird
Unconstrained Nonlinear Optimization Problem

Product details

  • ISBN 9780367494421
  • Weight: 480g
  • Dimensions: 156 x 234mm
  • Publication Date: 20 May 2021
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Mathematical modeling is both a skill and an art and must be practiced in order to maintain and enhance the ability to use those skills. Though the topics covered in this book are the typical topics of most mathematical modeling courses, this book is best used for individuals or groups who have already taken an introductory mathematical modeling course. Advanced Mathematical Modeling with Technology will be of interest to instructors and students offering courses focused on discrete modeling or modeling for decision making.

Each chapter begins with a problem to motivate the reader. The problem tells "what" the issue is or problem that needs to be solved. In each chapter, the authors apply the principles of mathematical modeling to that problem and present the steps in obtaining a model. The key focus is the mathematical model and the technology is presented as a method to solve that model or perform sensitivity analysis.

We have selected , where applicable to the content because of their wide accessibility. The authors utilize technology to build, compute, or implement the model and then analyze the it.

Features:

  • MAPLE©, Excel©, and R© to support the mathematical modeling process.
  • Excel templates, macros, and programs are available upon request from authors.
  • Maple templates and example solution are also available.
  • Includes coverage of mathematical programming.
  • The power and limitations of simulations is covered.
  • Introduces multi-attribute decision making (MADM) and game theory for solving problems.

The book provides an overview to the decision maker of the wide range of applications of quantitative approaches to aid in the decision making process, and present a framework for decision making.

Dr. William P. Fox is currently a visiting professor of Computational Operations Research at the College of William and Mary. He is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School and teaches a three-course sequence in mathematical modeling for decision making. He received his Ph.D. in Industrial Engineering from Clemson University. He has taught at the United States Military Academy for twelve years until retiring and at Francis Marion University where he was the chair of mathematics for eight years. He has many publications and scholarly activities including twenty plus books and one hundred and fifty journal articles.

Colonel (R) Robert E. Burks, Jr., Ph.D. is an Associate Professor in the Defense Analysis Department of the Naval Postgraduate School (NPS) and the Director of the NPS’ Wargaming Center. He holds a Ph.D. in Operations Research from the Air Force Institute of Technology. He is a retired logistics Army Colonel with more than thirty years of military experience in leadership, advanced analytics, decision modeling, and logistics operations who served as an Army Operations Research analyst at the Naval Postgraduate School, TRADOC Analysis Center, United States Military Academy, and the United States Army Recruiting Command.

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