Ordinary differential equations

Author: V.I. Arnold
Publisher:
Publish Date: 2001-07-01
Features: This book presents some fundamental problems in the theory of ordinary differential equations from a modern mathematical perspective. It is divided into five chapters: Basic Concepts, Basic Theories, Linear Systems, Proofs of Fundamental Theorems, and Differential Equations on Manifolds. The book emphasizes geometric and qualitative considerations and places special emphasis on applications in mechanics. It is rigorous yet accessible, with numerous diagrams, examples, and problems. The book also includes typical exercises at the end to help readers deepen their understanding of the content. This book is suitable for senior undergraduate and graduate students, teachers, and other mathematicians.