High School Algebra: Advanced Course (Classic Reprint)

The Advanced Course of the High School Algebra contains a review of all topics treated in theE lementary Course, together with such additional topics as are required to make it amply sufficient to meet the entrance requirements of any college or technical school. I ts development is based upon the following important considerations: 1. The pupil has had a one years course in algebra, involving constant application of its elementary processes to the solution of concrete problems. This has invested the processes themselves with an interest which now makes them a proper object of study for their own sake. 2. The pupil has, moreover, developed in intellectual maturity and is, therefore, able to comprehend processes of reasoning with abstract numbers which were entirely beyond his reach in the first years course. This is particularly true if, in the meantime, he has learned to reason with the more concrete forms of geometry. In consequence of these considerations, the treatment throughout is from a more mature point of view than in theE lementary Course. The principles of algebra are given in the form of theorems the proofs of which are based upon a definite set of axioms. As in theE lementary Course, the important principles are used at once in the solution of concrete and interesting problems, which, however, are here adapted to the pupils greater maturity and experience.
(Typographical errors above are due to OCR software and don't occur in the book.)

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