Orders of Infinity

The ideas of Du Bois-Reymond''s Innitarcalcul are of great andgrowing importance in all branches of the theory of functions. Withthe particular system of notation that he invented it is no doubt quitepossible to dispense; but it can hardly be denied that the notation isexceedingly useful being clear concise and expressive in a very highdegree. In any case Du Bois-Reymond was a mathematician of suchpower and originality that it would be a great pity if so much of hisbest work were allowed to be forgotten...