Mathematical Model Lecture Notes

Author: Lei Gongyan
Publisher:
Publish Date: 2001-06-01
Features: This book is based on the lecture notes used by the author for the "Mathematical Modeling" course for undergraduate students at Peking University in recent years, supplemented and revised. The book is divided into twelve chapters, introducing various successful models and applied mathematical methods, including linear and integer programming, graph theory, computer imaging, cryptography, statistical classification, neural networks, queuing theory, reaction rates of chemical reactions and simulated annealing, biological evolution, chaos, and lattice gas, among others. Each chapter is self-contained. The book is rich in content, well-structured, and appropriately selected, including some relatively new materials. In terms of presentation, it emphasizes both modeling methods and the balance between theory and application, focusing on understanding the problems and striving for broad applicability. This book can serve as a textbook for "Mathematical Modeling" in science and engineering departments of comprehensive universities and normal universities, or as supplementary material for students participating in mathematical modeling competitions. It can also be used as a reference for university teachers and students, as well as various engineering and technical personnel in their work.