The present work is an expansion of a course of lectures which I have annually delivered for some years past at Queen sC ollege, Oxford. I ts primary object is, as was the case in the lecture room, that of explsdning with all the clearness at my command the leading principles of invariant algebra, in the hope of making it evident to the junior student that the subject is attractive as well as important, and that its early difficulties are only such as he can readily surmount. Lucidity in mathematical works has often suflF ered from undue compression. My constant aim has been to guard against such a possibility here. In a book of moderate size dealing with a great subject much must remain unsaid, if the fundamental considerations are to be presented with the thoroughness and the perspicuity necessary to enable the student adequately to realize them, and give him the interest in them which will prepare him to pursue for himself the study to which they introduce him.
(Typographical errors above are due to OCR software and don't occur in the book.)
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