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Vlll PREFACE rative style than is usual in mathematical text-books. Without this the book could have been made considerably smaller, but it was felt that the addition to the number of pages would be more than compensated by the gain in clearness and fullness of explanation. The time and effort required to cover the years work will be less than it would be with a more compact and concentrated form of presentation. The exercises and problems are drawn largely from the students own experience, and include many that are in the nature of experiments, to be performed by the student individually, or with the cooperation of the class. It is urged that most of these experiments be actually performed, because of the discussion and interest which comes from such concrete applications. In using the book for the first time there will be perhaps some tendency on the part of the teacher to omit features which at first sight may seem unusual. Such omissions might easily detract materially from the force and usefulness of the text, and it is strongly urged that they be reduced to a minimum. For those who wish to make a still closer correlation with Geometry, references to that subject (P art II of this series) are given, which outline in a general way a two years course in Mathematics. For this purpose, if the teacher desires it, the two parts. Algebra and Geometry, may be had bound in one volume. This will be especially advantageous in schools where free text-books are furnished, because the work of the first year is then always at hand for reference during the second year. E. Long, W. C. Brenke. Lincoln, Nebraska, July,
(Typographical errors above are due to OCR software and don't occur in the book.)
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