An increased interest in the history of the exact sciences manifested in recent years by teachers everywhere, and the attention given to historical inquiry in the mathematical class-rooms and seminaries of our leading universities, cause me to believe that a brief general History of Mathematics will be found acceptable to teachers and students. The pages treating-necessarily in a very condensed form of the progress made during the present century, are put forth with great di_dence, although I have spent much time in the e_ort to render them accurate and reasonably complete. Many valuable sugge...