Mathematical Modeling Methods and Their Applications

Author: Han Zhonggeng
Publisher:
Publish Date: 2005-06-01
Features: This book is primarily written based on the practical needs of teaching the "Mathematical Modeling" course and training for mathematical modeling competitions, as well as the author's years of practical experience and insights in related fields. It highlights the modern application characteristics of "broad, shallow, new, and practical" in terms of content. The main content includes 20 major mathematical modeling methods such as dimensional analysis, set analysis, differential equations, difference equations, interpolation and fitting, analytic hierarchy process, probability distributions, mathematical statistics, regression analysis, linear programming, integer programming, nonlinear programming, dynamic programming, queuing theory, game theory, stochastic decision analysis, multi-objective decision analysis, graph theory, fuzzy mathematics, and grey system analysis, with corresponding application case studies and reference cases for each method. At the end, it includes problems from the annual China Undergraduate Mathematical Modeling Contest and the U.S. Undergraduate Mathematical Modeling Contest, as well as an introduction to MATLAB usage.
This book can serve as a textbook for "Mathematical Modeling" courses for college students, graduate students, and undergraduates, and is particularly suitable for training materials for mathematical modeling competitions, as well as for reference use by engineering technicians engaged in applied research.
The book provides a relatively comprehensive, systematic, and concise introduction to the commonly used 20 major mathematical modeling methods, with each category being self-contained. Additionally, each method is accompanied by novel and vivid application examples.