algebraic topics are not discussed, because they are not useful to the main object of the work, and it was especially desirable that its purpose should not be hindered by the making of a large book. A few innovations in notation and nomenclature have been unavoidably introduced. The temptation to replace the terms complex quantity, imaginary quantity and real quantity by some such terms as gonion, orthogon and agon has been successfully resisted. Partly in order to aid the student in obtaining a comparative view of the subject, partly in order to indicate in some detail the sources of information and give due credit to other writers, numerous foot-note references have been introduced. I take great pleasure in acknowledging my obligations to Professor Haskell for valuable criticism and suggestion. IRVING STRINGHAM. UNIVERSITY of CaliforNIA, BERKELEY, July 1, 1893. VIII. ARTICLE. SYNOPSIS OF LAWS OF ALGEBRAIC OPERATION. 60 THE ALGEBRA OF COMPLEX QUANTITIES. 92 |