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Excerpt from A High School Algebra, Vol. 1 In a product it is customary to put the numerical factor (if any) first, and the literal factors in alphabetical order. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from The High School Algebra, Vol. 1 IN issuing a new edition of the high school algebra, part I., the Authors desire to express their appreciation of the favor with which their work has been received, and which has rendered a reprint a necessity. For the convenience of both teachers and students the new edition retains not only the matter of the first edition, but also the numbering of the Articles and Exercises unchanged and the pages unbroken. A few additions have been made to the text, a few examples have been changed, and a considerable number of new examples have been inserted at the end of the book. These new examples will be found to require a moderate amount of intelligent thought for their solution, but difficult or complicated work has not been introduced. They are chiefly applications Of algebraical princi ples rather than mere symbolical transformations. Experience has shown that the most valuable exercises are those in which the student is required to translate statements of fact, expressed in ordinary language, into the language of symbols, to perform the necessary Operations, and finally to interpret the result. Such work can be performed only by students to whom the symbols both of quantity and operation have a definite meaning. In pursuance of this idea many of the examples are of a geometrical character, but are well within the powers of the average intelligent student. The order in which they are placed is frequently worthy of attention. Sometimes one or more simple examples lead to the solution of a more difficult one of the same character. Sometimes a succession of values is given to an element Of a problem for the purpose of exhibiting a contrast in the results. The careful study of such groups will be found instructive and profitable. The answers have been designedly omitted. Many of the examples are of such a character that their chief value would be lost by the student seeing the result. In other cases the verification of the result Obtained is easily made, and is a valuable additional exercise. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from School Algebra, Vol. 1 The authors have attempted to set forth, in simple language, the modern idea of function, without carrying the work to an unwarranted extreme. They have presented the graph in the same Spirit, introducing it gradually and with the definite purpose of leading the pupil to recognize, through visual aids, the nature of negative numbers and the number and nature of the roots of equations. Particular attention is called to the Cumulative Review in the Appendix. This furnishes the Opportunity for a careful review of all the preceding work at the end of each chapter, and the value of the plan will be apparent to every teacher. The authors wish to express their thanks to the many teachers who have assisted them either by their valuable suggestions or by their care in the reading of the proof. Any suggestions for further improvement of the work will be gratefully received. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from A High School Algebra In a product it is customary to put the numerical factor (if any) first, and the literal factors in alphabetical order. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from High School Algebra Prob. 1. A gentleman paid $45 for a suit of clothes and a hat. If the clothes cost 8 times as much as the hat, what was the cost Of each? About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from School Algebra This Algebra is the second volume of a series of two books. It contains material for a half-year course and presupposes a year's work such as is provided in the authors' First Course, or any similar text. Since, in many schools, a year or more intervenes between the first and second courses in algebra, it has been deemed advisable to include a review of the First Course before proceeding to new subjects. This part of the book is, however, more than a mere hasty resume. While the student is reviewing the topics of the first year, he is at the same time making a distinct advance by seeing the subject from new view-points, which his added maturity and training enable him to appreciate. The selection of new topics in this Second Course is in accord with current practice in the best high schools. While the book contains material for thorough preparation for college, the authors have not had in mind solely the students making such preparation, but rather the great body of students who will go no further in our educational system than the high school. The chapter devoted to the notion of a function is introduced in 0 the belief that the high school student should become somewhat familiar with the idea Of the correspondence between two re lated variables. Along with the notion of a function, the graph is presented with a View to leading the students to picture and to visualize this correspondence. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from Commercial Algebra, Vol. 1 This book is intended for use in the first year of a commercial high school. It lays the foundation for that work in mathematics without which it is impossible for a student to attain the highest success in the technique of commerce. A man may have a genius for organization, he may employ others to do his mathematical work for him, and he may advance through a combination of circumstances, but if he is to master the technique of commercial life he must be able to think in algebra. There is not to-day a single line of commercial work in which the formula is not, or may not be, profitably used; and without a knowledge of the formula, of its value, and of its manipulation by the aid of the equation, a man cannot be a real master of any great commercial field. This knowledge of the formula is, however, no more vital than a knowledge of other parts of algebra, as, for example, the graph in its varied forms. Here is one of the several tools of mathematics which every business man needs and actually uses in his everyday business life. Algebra, then, may be said to be vital to successful training for commercial life. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from High School Algebra: Elementary Course The authors recognize the impossibility of combining in a single treatment the qualities necessary for beginners with the more mature point of View suitable for the third or fourth year student. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from The High School Algebra, Vol. 2 Should the present work be received with sufficient favor it will be followed by a third volume, treating of the remaining portions of the subject, so far as it is usually read for the ra. Degree with Honors in any Canadian or American University. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.