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A First Course in Mathematical Modeling

A First Course in Mathematical Modeling

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About the Book

Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5E, delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students’ problem-solving capabilities — whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible — beginning with short projects — the book facilitates their progressive development and confidence in mathematics and modeling.

About the Author

Frank R. Giordano Frank R. Giordano began his teaching career at the United States Military Academy, West Point, New York, where he served for 21 years, including seven years as professor and head of the Department of Mathematical Sciences. He currently is a Professor of Defense Analysis and Operations Research at the Naval Postgraduate School, Monterey, CA. He has served as project director for several major National Science Foundation grants devoted to modeling, including one to initiate a high school modeling contest (the HiMCM). For the past 15 years, he has served as the director of the Mathematical Contest in Modeling. Frank R. Giordano began his teaching career at the United States Military Academy, West Point, New York, where he served for 21 years, including seven years as professor and head of the Department of Mathematical Sciences. He currently is a Professor of Defense Analysis and Operations Research at the Naval Postgraduate School, Monterey, CA. He has served as project director for several major National Science Foundation grants devoted to modeling, including one to initiate a high school modeling contest (the HiMCM). For the past 15 years, he has served as the director of the Mathematical Contest in Modeling. William P. Fox William P. Fox is a professor in the Department of Defense Analysis at the Naval Postgraduate School in Monterey, CA. Previously; he was an instructor, assistant professor, associate professor, and professor of operations research while serving in the Department of Mathematical Sciences at the United States Military Academy (USMA) for more than 12 years. He also served as the Chair of Mathematics at Francis Marion University for eight years before coming to the Naval Postgraduate School. Dr. Fox has taught a variety of mathematics courses in his career, and his areas of interest include mathematical modeling, optimization, statistics, and simulations. He holds his undergraduate degree from USMA, a master’s degree from the Naval Postgraduate School, and a Ph.D. from Clemson University. Steven B. Horton Steven B. Horton is professor of operations research and acting deputy head in the Department of Mathematical Sciences at the United States Military Academy (USMA), West Point. He has taught a variety of mathematics courses at West Point since joining the faculty in 1991. Dr. Horton holds his undergraduate degree from USMA, master’s degrees from Georgia Tech and the National Defense University, and a Ph.D. from Georgia Tech.



Table of Contents:
1. Modeling Change. 2. The Modeling Process, Proportionality, and Geometric Similarity. 3. Model Fitting. 4. Experimental Modeling. 5. Simulation Modeling. 6. Discrete Probabilistic Modeling. 7. Optimization of Discrete Models. 8. Modeling with Graph Theory. 9. Modeling with Decision Theory. 10. Game Theory. 11. Modeling with a Differential Equation. 12. Modeling with Systems of Differential Equations. 13. Optimization of Continuous Modeling. 14. Dimensional Analysis and Similitude. 15. Graphs of Functions as Models. Appendix A: Problems from the Mathematics Contest in Modeling, 1985-2007. Appendix B: An Elevator Simulation Model. Appendix C: The Revised Simplex Method. Appendix D. Brief Review of Integration Techniques.


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Product Details
  • ISBN-13: 9788131529171
  • Publisher: Cengage Learning India Pvt.Ltd.
  • Publisher Imprint: Brooks Cole
  • Edition: 5
  • Language: English
  • Width: 181 mm
  • ISBN-10: 8131529177
  • Publisher Date: September'2015
  • Binding: Paperback
  • Height: 241 mm
  • No of Pages: 800

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