Mathematical model methods for problem-solving

Author: Liu Laifu, edited by Wen Yi
Publisher:
Publish Date: 2005-06-01
Features: This book is written based on the author's long-term experience in scientific research and teaching in the field of mathematical applications, focusing on the topic of mathematical modeling as the fundamental method for problem-solving. The book emphasizes how to improve readers' ability to apply mathematics to solve practical problems, enabling them to enhance their skills in using mathematical knowledge to address real-world issues. The book consists of ten chapters, with the first two chapters discussing problem-solving, mathematical models, and related issues in mathematical modeling. Chapters 3 to 9 introduce various modeling and analytical methods for common mathematical models used in problem-solving. The tenth chapter presents mathematical models for six different practical problems, some of which are more theoretical while others are more practical. The appendix at the end reproduces past questions from China's Undergraduate Mathematical Modeling Contest and Beijing's High School Students' Mathematical Knowledge Application Contest. This book is suitable for master's students in mathematics education and high school mathematics teachers. It can serve as a textbook for "Mathematical Modeling" (or "Mathematical Applications") in the continuous education of secondary school mathematics teachers, as well as a reference book for "Mathematical Modeling" courses in mathematics departments of normal universities.