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This Book is written for the present and the future with a technical in-dept knowledge of the subject.This Book does not claim to have covered every thing on the subject but a means-to an-end.Secondly.accuracy has been secondary to our main purpose;to expose the general applications of Duffing equations to every day Life.You will find in this text an extensive list of applications of this equation. I acknowledge my indebtedness to the publishers and to Prof.U.A. Osisiogu and Others for their through editing.