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Books > Science & Mathematics > Mathematics > Probability & statistics
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Advanced Mathematical Modeling with Technology (Hardcover)
Loot Price: R2,647
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Advanced Mathematical Modeling with Technology (Hardcover)
Series: Advances in Applied Mathematics
Expected to ship within 12 - 17 working days
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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 (c), Excel (c), and R (c) 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. Table of Contents 1.
Perfect Partners: Mathematical Modeling and Technology 2. Review of
Modeling with Discrete Dynamical Systems and Modeling Systems of
DDS 3. Modeling with Differential Equations 4. Modeling System of
Ordinary Differential Equation 5. Regression and Advanced
Regression Methods and Models 6. Linear, Integer and Mixed Integer
Programming 7. Nonlinear Optimization Methods 8. Multivariable
Optimization 9. Simulation Models 10. Modeling Decision Making with
Multi-Attribute Decision Modeling with Technology 11. Modeling with
Game Theory 12. Appendix Using R Index Biographies 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 form 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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