A First Course in Mathematical Modeling, International Edition - Softcover

Horton, Steven

Softcover

ISBN 10: 1285077490 ISBN 13: 9781285077499

Publisher: GARDNERS VI BOOKS AMS006, 2013

Synopsis

Offering an introduction to the entire modeling process, this book delivers a balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. This fifth edition includes a new chapter on modeling with graph theory.

About this title

About the Author

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. 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. 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.

Review

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.

Edition details

• Publisher: GARDNERS VI BOOKS AMS006
• Publication date: 2013
• Language: English
• ISBN 10: 1285077490
• ISBN 13: 9781285077499
• Binding: Paperback
• Number of pages: 640