Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools and for Colleges, Vol. 2 (Classic Reprint)

The delay in the appearance of this volume finds an apology partly in circumstances of a private character, partly in public engagements that could not be declined, but most of aU in the growth of the work itself as it progressed in my hands. I have not, as some one prophesied, reached ten volumes; but the present concluding volume is somewhat larger and has cost me infinitely more trouble than I expected. The main object of Part 11. is to deal as thoroughly as possible with those parts of Algebra which form, to useE uler stitle, an I rU rodtidio in A naiysin I nfinitorum, A practice has sprung up of late (encouraged by demands for premature knowledge in certain examinations) of hurrying young students into the manipulation of the machinery of theD ifT erential and Integral Calculus before they have grasped the preliminary notions of a Limit and of an Infinite Series, on which all the meaning and all the uses of the Infinitesimal Calculus are based. Besides being to a large extent an educational sham, this course is a sin against the spirit of mathematical progress.
(Typographical errors above are due to OCR software and don't occur in the book.)

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