Ordinary Differential Equations and Their Applications: Methods, Theory, Modeling, Computer: Methods, Theory, Modeling, Computer

Author: Zhou Yicang
Publisher:
Publish Date: 2003-07-01
Features: This book is a teaching material that organically integrates the theory, methods, and applications of ordinary differential equations. It maintains the strong theoretical nature, diverse methods, rich techniques, and numerous examples found in current Chinese textbooks while incorporating the emphasis on modeling, applications, and computer usage from foreign textbooks. This forms a new system where theory, methods, modeling, applications, and computers interact and complement each other. It not only trains students in rigorous mathematical thinking but also guides them in establishing mathematical models to solve practical problems. The book covers both the methods for solving analytical and numerical solutions of various differential equations and the process of using computers to analyze and solve them. The main content of this textbook includes methods for solving various differential equations, fundamental theories of ordinary differential equations, qualitative stability foundations, approximate methods and their implementation, and establishing differential equation models to solve practical problems. This book can serve as a textbook for ordinary differential equations courses for mathematics and applied mathematics majors, information science and computational mathematics majors, as well as a reference for science and engineering students in mathematical modeling and mathematical experiments.