The present work aims rather at the develop ment of ideas, than the inculcation of rules. It presupposes that the student can cipher, and would only teach him how to think, - how to handle the idea of numbers with which he is familiar, in the same manner in which he must take up, in higher mathematics, the ideas of space, velocity, 650. In this way, it hopes to smooth the path for his future progress in new branches of study.
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