Differential equations: a dynamical systems approach to theory and practice
This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago. Taking into account the remarkable development of dynamical systems since then, the authors present the core topics that every young mathematician of our time--pure and applied alike--ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition…
Read More ↓Title Statements
- Full title :Differential equations : a dynamical systems approach to theory and practice / Marcelo Viana, José M. Espinar ; in collaboration with Guilherme T. Goedert and Heber Mesa.
Summary
This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago. Taking into account the remarkable development of dynamical systems since then, the authors present the core topics that every young mathematician of our time--pure and applied alike--ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition, and the arguments and proof techniques.
Read More ↓Edition Statements
- Publication Date:©2021
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2021
The Physical Object
- Description:1 online resource (xiv, 536 pages) : : illustrations (some color).
Edition Identifiers
- ISBN:9781470465384, 1470465388
- oclc:on1284287636
- LC Classification:QA371
- Dewey Decimal:515/.35
Table of Contents
Local solutions -- Maximal solutions -- Numerical integration -- Autonomous equations -- Autonomous linear equations -- Nonautonomous linear equations -- Lyapunov stability -- Grobman-Hartman theorem -- Stable manifold theorem -- Vector fields on surfaces -- Poincaré-Hopf theorem.
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