Differential equations: a dynamical systems approach to theory and practice

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"The pdf contains a draft title page, draft copyright page and a draft manuscript"-- 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…

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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

"The pdf contains a draft title page, draft copyright page and a draft manuscript"--

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.

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:xiv, 536 pages : : illustrations (some color) ; : 26 cm.

Edition Identifiers

ISBN:9781470451141, 147045114X, 9781470465407, 147046540X
oclc:on1235901686
LC Classification:QA371
Dewey Decimal:515/.35

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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