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A First Course in Mathematical Modeling (Print on Demand)

Author(s): Frank R. Giordano

ISBN: 9788131529171

5th Edition

Copyright: 2014

India Release: 2015

₹2000

Binding: Paperback

Pages: 800

Trim Size: 241 x 181 mm

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A FIRST COURSE IN MATHEMATICAL MODELING, 5E, offers a comprehensive introduction to the modeling process. Balancing theory and practice, the book guides students through the creative and empirical aspects of model construction, analysis, and research. The authors emphasize a six-step problem-solving process that enhances problem-solving capabilities. The book focuses on early involvement in the mathematical process, allowing students to develop confidence and proficiency in mathematics and modeling through short projects and progressive learning.

  • New chapters on Modeling with Decision Theory and Game Theory.
  • Abundance of scenarios and illustrative examples to demonstrate theories and models in action.
  • Hands-on experience through exercises and projects for practical application.
  • UMAP Models for easy reference and review.
  • COMAP Mathematical Contest in Modeling problems included on the website for real-world problem-solving practice.
  • Technology labs and worked examples for various technologies like Excel, Maple, and Mathematica available on the web.
  • Additional chapter on Modeling with Decision Theory, covering Probability, Expected Value, Decision Trees, and Conditional Probabilities.
  • New chapter on Game Theory, including sections on Illustrative Modeling Examples and Total Conflict as a Linear Program Model: Pure and Mixed Strategies.
  • Updates with new and revised problems, examples

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

 

Frank R. Giordano - Naval Postgraduate School

William P. Fox - United States Military Academy

Steven B. Horton - US Military Academy