Ordinary Differential Equations Review

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Ordinary Differential Equations ReviewI can't believe that this is the fourth edition of this book. Considering the lack of organization and typos, I'd think it was an unpublished draft of a book. It's honestly the worst book I have ever used. I found it harder to learn anything from than rudin. It's unclear what knowledge is a prerequisite for the material here, as the authors seeem to do some sort of review of first order linear differential equations in the beginning but then go off on different tangents. Often terminology will be left undefined, especially in the exercises where it actually matters the most. One highlight of this happening is the chapter on limit cycles, where no formal definition "limit cycle" is actually given. Perhaps this wouldn't be too bad, but there are exercises asking to PROVE things about limit cycles. And I assure you that this is not at all an isolated incident.
My impression is that the authors attempted to write a terse, rigorous account of differential equations. Instead we get an unmotivated disorganized potpourri of topics whose significance is never made clear.Ordinary Differential Equations Overview

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