A First Course in Mathematical Modeling

by Giordano, Frank R.; Fox, William P.; Horton, Steven B.; Weir, Maurice D.

• ISBN13: 9780495011590
• ISBN10: 0495011592
• Edition: 4th
• Format: Hardcover
• Copyright: 2008-07-03
• Publisher: Brooks Cole

Summary

Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, and gives you relevant, hands-on experience developing and sharpening your modeling skills. Throughout, the book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides myriad opportunities for practice. The authors apply a proven six-step problem-solving process to enhance your problem-solving capabilities -- whatever your level. In addition, rather than simply emphasizing the calculation step, the authors first help you learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible -- beginning with short projects -- this text facilitates your progressive development and confidence in mathematics and modeling.

Table of Contents

Modeling Change

The Modeling Process, Proportionality, and Geometric Similarity

Model Fitting

Experimental Modeling

Simulation Modeling

Discrete Probabilistic Modeling

Optimization of Discrete Models

Modeling With Graph Theory

Dimensional Analysis and Similitude

Graphs of Functions as Models

Modeling With a Differential Equation

Modeling With Systems of Differential Equations

Optimization of Continuous Modeling

Problems from the Mathematics Contest in Modeling, 1985-2007

An Elevator Simulation Model

The Revised Simplex Method

Brief Review of Integration Techniques

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