A First Course in Mathematical Modeling / Edition 4

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Overview

Now with discrete mathematics, this edition makes it possible to organize an entire course without the use of calculus. However, if you wish to cover the chapters requiring calculus, the book's unique organization permits use to concurrently teach the introductory calculus course — as early as the first semester of the freshman year. Plus, the book's rich choice of topics provide an introduction to the operations research and quantitative management science courses. This text gives students an opportunity to cover all phases of the mathematical modeling process, including creative and empirical model construction, model analysis, and model research using clearly defined techniques, such as modeling using graphs, modeling using proportionality, and modeling fitting.
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Editorial Reviews

From the Publisher
"The authors keep a good balance of theory and practice, maintaining fidelity to the ideal of developing experience and skills in the modeling process, rather than overconcentrating on the mathematics of modeling. The revisions are thoughtful and strengthen the text, tying together more effectively the good selection of methods and applications contained in previous editions." Charles Landraitis, Boston College.

"The approach to modeling is very solid, and corresponds with what I have seen as useful in teaching modeling at all levels for 25 years." Stephen J. Merrill, Marquette University.

"The examples, projects, and exercises are excellent. Very varied and interesting, with a good mix of topics. It is great to be able to pick and choose from among the topics and examples. At the same time, there is nothing superfluous about the coverage." Libby Krussel, The University of Montana.

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Product Details

  • ISBN-13: 9780495011590
  • Publisher: Cengage Learning
  • Publication date: 7/3/2008
  • Edition description: Older Edition
  • Edition number: 4
  • Pages: 640
  • Sales rank: 575,238
  • Product dimensions: 7.60 (w) x 9.40 (h) x 1.20 (d)

Meet the Author

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 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 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.

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Table of Contents

PART I: MODELING WITH GRAPHS. 1. Graphs of Functions as Models. PART II: THE MODELING PROCESS. 2. The Modeling Process. 3. Modeling Using Proportionality. 4. Model Fitting. PART IV: OPTIMIZATION MODELING. 5. Optimization I: Continuous Models. 6. Optimization II: Discrete Models. PART V: MODELING CHANGE. 7. Modeling Discrete Change. 8. Modeling Continuous Change. PART VI: MODELING FROM DATA. 9. Modeling from Experimental Data. 10. Dimensional Analysis. PART VII: MODELING CHANCE. 11. Simulation Modeling. 12. Stochastic Modeling.
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