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Offering a solid introduction to the entire modeling process, A First Course in Mathematical Modeling, 5th 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.
Modeling Change
The Modeling Process, Proportionality, and Geometric Similarity
Model Fitting
Experimental Modeling
Simulation Modeling
Discrete Probabilistic Modeling
Optimization of Discrete Models
Modeling Using Graph Theory
Modeling with Decision Theory
Game Theory
Modeling with a Differential Equation
Modeling with Systems of Differential Equations
Optimization of Continuous Models
Dimensional Analysis and Similitude
Graphs of Functions as Models