Because the first version of this booklet, geometrical equipment within the thought of standard differential equations became highly regarded and a few development has been made in part with assistance from desktops. a lot of this growth is represented during this revised, increased version, together with such issues because the Feigenbaum universality of interval doubling, the Zoladec answer, the Iljashenko evidence, the Ecalle and Voronin thought, the Varchenko and Hovanski theorems, and the Neistadt thought. within the number of fabric for this booklet, the writer explains easy rules and strategies appropriate to the learn of differential equations. certain efforts have been made to maintain the elemental rules unfastened from over the top technicalities. therefore the main basic questions are thought of in nice element, whereas of the extra distinct and tough elements of the idea have the nature of a survey. accordingly, the reader wishes just a normal mathematical wisdom to simply stick with this article. it truly is directed to mathematicians, in addition to all clients of the speculation of differential equations.
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