Ordinary Differential Equations by Vladimir I. Arnold
A compact, geometrically oriented introduction to the theory of ordinary differential equations and dynamical systems that emphasizes phase-space intuition and qualitative methods: it covers existence and uniqueness, linear systems, flows and phase portraits, stability and invariant manifolds, linearization and normal forms, periodic solutions and Poincaré maps, bifurcations and structural stability, and special themes such as Hamiltonian systems and integrability. The presentation blends rigorous theorems with geometric examples and exercises, aiming to develop intuition about trajectories, singularities, and long-term behavior rather than focusing solely on explicit formulae.
Purchase from
Bookshop.org
- Published
- Unknown
- Nationality
- Russian
- Length
- Unknown
- Pages
- Unknown
- Original Language
- Russian
- Avg User Rating
- No ratings yet
- Alternate Titles
-
- Obyknovennye differentsialnye uravneniya
- Обыкновенные дифференциальные уравнения
This book is not currently on any lists.