Mathematical Modeling Basics

Author: Xue Yi
Publisher:
Publish Date: 2004-04-01
Features: This book can be used as a textbook for undergraduate and graduate students in the "Mathematical Modeling" course, as well as a reference material for college students participating in the National Mathematical Modeling Contest for College Students. It can also serve as a learning resource for scientific and technical personnel and engineering technicians. The book provides an in-depth yet accessible introduction to the basics of mathematical modeling, with a focus on differential equation models, operations research models, and mathematical statistics models. It emphasizes the fundamental ideas of modeling, basic methods for solving models, and the use of mathematical software to solve mathematical problems. The content includes an introduction to mathematical modeling, differential equation models, linear programming models, dynamic programming models, optimization models, graph theory and network models, practical statistical analysis methods, and computer simulation. Additionally, the book provides instructions on using the LINGO software package. The key focus of the book is on the establishment of mathematical models and the analysis and description of problems. Readers can apply their knowledge to solve real-world problems using computer software.