This text investigates the fundamental methodologies required to translate real-world phenomena into structured mathematical models. The authors, Frank R. Giordano and his colleagues, utilize a pedagogical framework centered on a six-step problem-solving process that prioritizes problem identification and data collection over rote calculation. By emphasizing the iterative nature of model construction and analysis, the book provides a systematic approach for students to develop analytical proficiency in applied mathematics.

This work is widely regarded as a foundational resource for undergraduate courses in mathematical modeling due to its clear, process-oriented structure. The text is noted for its ability to bridge the gap between abstract mathematical theory and practical application through its emphasis on the entire modeling lifecycle.