Ordinary Differential Equations and Their Applications—Methods, Theory, Modeling, Computers

Author: Zhou Yicang Jin Zhen Qin Jun Lin
Publisher:
Publish Date: 2003-07-03
Features: This book is a textbook 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 creates a new system where theory, methods, modeling, applications, and computer technology interpenetrate 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 analytical and numerical methods for solving various types of differential equations, as well as 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 real-world problems. This book can serve as a textbook for ordinary differential equations courses in mathematics and applied mathematics, information science, and computational mathematics majors, as well as a reference for science and engineering students in mathematical modeling and mathematical experiments.