Excerpt from Junior High School Mathematics, Vol. 3
While this book presents a thoroughly practical kind of mathematics, as do also Books I and II, it is the purpose of the book to make the treatment sufficiently formal to enable the student to appreciate more fully the nature of pure mathematics. It is only by so doing that the door of the science can be opened sufficiently to enable him to determine whether he should pursue the subject further. In Book I the work in arithmetic was extended, the subject of intuitive geometry was introduced, and the algebraic formula was used when needed; in Book II the work in arithmetic was continued, particularly as it refers to the problems of everyday life, and such algebra as is essential in various practical lines was set forth; and now Book III offers a fitting close to an introductory course in mathematics by extending the work in practical algebra, by showing the nature and some of the practical uses of trigonometry, and by introducing the student to the first steps of demonstrative geometry.
The student who expects to enter college will find that the algebra given in this series satisfies the requirements in many cases and that even the highest requirements in both algebra and geometry can be met in a year or a year and a half more. The authors have had in mind the needs not only of this class of students but also of those students who do not expect to enter college and yet who wish for and are entitled to have a general survey of elementary algebra, an introduction to the meaning and the practical uses of trigonometry, and an idea of scientific demonstration as it appears in its most available form, the element of geometry.
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