Excerpt from Lectures on Quaternions, Vol. 2: Containing a Systematic Statement of a New Mathematical Method; Of Which the Principles Were Communicated in 1843 to the Royal Irish Academy

Some readers may find it convenient to pass over for the present these pro fatory remarks, and to proceed at once to the Volume, of which a large part has been drawn up so as to suppose less of previous and technical preparation than some of the paragraphs of this Preface. Indeed, great pains have been taken to render the early Lectures as elementary as the subject would allow and it is hoped that they will be found perfectly and even easily intelligible by persons of moderate scientific attainments. It is true that some of the subsequent por tions of the Course (especially parts of the concluding Lecture) may possibly appear dificult. From the novel nature of the calculations employed: but perhaps on that very account those later portions may repay the attention of more ad vanced mathematical students.

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