Mathematical Modeling: Methods and Examples

Author: Shou Jili
Publisher:
Publish Date: 2000-04-01
Features: This book is divided into two parts. The first part is an introduction to mathematical modeling, consisting of 7 chapters, primarily introducing fundamental knowledge and some typical mathematical modeling methods such as data fitting, network models, operations research and optimization models, population ecology models, stochastic models of infectious diseases, and computer simulation. The content of each chapter is relatively independent and is accompanied by an appropriate number of exercises, making it suitable as a basic textbook for the course "Mathematical Models" offered to non-mathematics major science and engineering students. The second part is examples of mathematical modeling, consisting of 14 case studies, all selected from past "Mathematical Contest in Modeling" (MCM) and domestic university student mathematical modeling competition problems, and compiled based on winning papers. Through these examples, readers can broaden their horizons and further appreciate the essence of mathematical modeling methods and techniques. This part can also serve as a reference for intensive training for mathematical modeling competitions. This book can also be used as a reference for students, graduate students, and engineering from various universities.