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Geometrical Methods in the Theory of Ordinary Differential Equations

Grundlehren der mathematischen WissenschaftenPublished 1 January 1988
V. I. Arnold
Citations2,543

TL;DR

Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has since the author explains basic ideas free from a number of 2nd order odes.

Abstract

In the exposition of some special questions, we have also used or recalled elementary information on differential forms.Lie groups, and functions of a complex variable.This information is not necessary for the understanding of most of the book.

Keywords

Mathematics