A Course of Pure Mathematics (Classic Reprint)

Universities whose abilities reach or approach something like what is usually described as scholarship standard ,I hope that it may be useful to other classes of readers, but it is this class whose wants I have considered first. It is in any case a book for mathematicians: I have nowhere made any attempt to meet the needs of students of engineering or indeed any class of students whose interests are not primarily mathematical, A considerable space is occupied with the discussion and application of the fundamental ideas of the Infinitesimal Calculus, Differential and I ntegral. But the general range of the book is a good deal wider than is usual in English treatises on the Calculus. There is at present hardly room for a new Calculus of an orthodox pattern. It is indeed uot many years since there was urgent need of such a book, but the want has been met by the excellent treatises of Professois Gibson, Lamb, andO sgood, to all of which, I need hardly say, I am greatly indebted. And so I have included in this volume a good deal of matter that would find a place in any Traiti dA nalyse, though in English books it is usually separated from the Calculus and classed asH igher Algebra or Trigonometry .I nthe first chapter I have discussed in some detail the various classes of numbers included in the arithmetical continuum. I have not attempted to include any account of any purely arithmetical theory of irrational number, since I believe all such theories to be entirely unsuitable for elementary teaching.
(Typographical errors above are due to OCR software and don't occur in the book.)

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