Mathematical Modeling Methods and Analysis (Second Edition of the Original Book)

Author: Mills Cutler
Publisher:
Publish Date: 2005-06-01
Features: This book proposes a general mathematical modeling method (the "Five-Step Method") to help readers quickly grasp the essence of mathematical modeling. The author describes the three main areas of mathematical models in an engaging way: Optimization, Dynamic Systems, and Random Processes. The book solves a variety of real-world problems in a practical manner, including space shuttle docking, the growth rate of infectious diseases, and wildlife management. Mathematical knowledge required to solve problems is introduced in detail as needed.
● Extensive examples;
● Combines the use of computer software as a tool;
● Provides topics for discrete modeling, including integer programming;
● Broadly explores chaos and fractals;
● Adds material on linear programming, including the use of spreadsheet tools.
"This book is well-organized and rigorously reasoned. The exercises are excellent, and the examples are outstanding. To be honest, I have never considered using any other textbook in my course." — Blaise Morton, University of Minnesota
"This is a great textbook on mathematical modeling. The author's teaching approach for undergraduate mathematical modeling courses aligns very closely with my own views." — W. George Cochran, Louisiana State University
This book systematically introduces the theory and application of mathematical modeling. The author summarizes the process of mathematical modeling into five steps (the "Five-Step Method") and applies it throughout the analysis and discussion of various problems in the book. It explains how to use mathematical models to solve real-world problems and proposes how to analyze the sensitivity and robustness of models after constructing and analyzing them. The book closely integrates mathematical modeling methods with computer usage, not only providing excellent demonstrations through the discussion of each problem but also offering a large number of exercises for practice. This book is suitable as a textbook and reference for relevant courses in higher education institutions, as well as for participants in domestic and international mathematical modeling competitions and professionals in related fields of mathematical applications.