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Excerpt from Grammar School Algebra The growing demand for algebra in the grammar schools has led to the preparation of this brief book', an algebra which shall, in a year's school work, open up the subject in a simple and comprehensive manner, arouse interest, and lay the foundation for more effective work in the high school; and which shall, at the same time, place in the hands of pupils who leave school at the end of the grammar course a key that will unlock many of the mathematical intricacies they will meet. 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 Grammar School Algebra: An Introduction to Algebra for Beginners These introductory lessons in algebra may be readily mastered in the last year of the grammar school. They may be given in one or two exercises each week during the year, or, what is better, they may take the place of arithmetic the last half of the year. They will be found not only an excellent preparation for the study of elementary algebra in the high school, but also of special interest and value to pupils whose schooling may end with the elementary school. The problems may also be solved by analysis, thus obviating the use of a separate mental arithmetic in the eighth school year. 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 An Algebra for Grammar Schools In order to introduce the pupil to the notation of, letters, which is the new part of Algebra, a few simple illustra tions are here given. 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 Chapter X., with which the pupil would begin the second year's work, contains a thorough review of the simple rules. Here the more complicated processes are dealt with. The graphical work is introduced naturally in illustrating the negative quantity and in the solution of equations. Only graphs which can be drawn with the ruler and compasses are included in the book. More attention is given to methods of inspection in the extraction of roots. The long process for cube root is eliminated, as cube root is not now required in arithmetic. 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 Elementary Lessons in Algebra: A Text-Book for Grammar Schools IT is believed that the time has come for the introduction of the study of Algebra into Grammar Schools. The ele mentary processes of Algebra follow so closely the funda mental processes of Arithmetic, that the teaching of both in the grammar grades is at once rational and feasible. New text-books, especially adapted to this purpose, are, therefore, necessitated. Such books should consist of series of elementary lessons, inculcating a thorough knowl edge of algebraic processes and giving facility in the use of algebraic symbols. Elementary Lessons in Algebra aims to fulfil such a demand. The Introductory Lessons set simply, but accu rately, before the learner, the combinations of literal quan tities into sums, differences, products, and quotients, with little reference to arithmetical processes, and without associating number values to the letters often a source of confusion to the beginner, who, for the first time, meets with the use of letters as symbols. The fundamental pro cesses are placed after Simple Equations; and Equations containing Two Unknown Quantities involving Elimina tion, follow Multiplication. This sequence is believed to be more logical than placing the fundamental processes after Equations of Two Unknown Quantities, Elimination being in that case a merely mechanical process to the pupil. The treatment of Factoring is particularly full, as its importance demands. 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 New Grammar School Arithmetic Each of the first four chapters of the New Grammar School Arithmetic provides for a half year, beginning with advanced matter, which is followed by a review and an extension of the topics of the preceding grades. Each of the next two chapters (v and VI) contains arithmetic work for a year, which should be supplemented by portions of the algebraic and geometrical material of Chapters VII and VIII. It is recommended that at least a portion of the work in equations of Chapter VII should precede the study of Chapter V. Among the special features of the New Grammar School Arithmetic are the number and the variety of the problems; the systematic reviews, which cover oral and written drill work even in the fundamental Operations; the attention paid to short, direct, business methods of computation; and the Spiral handling of the various topics. 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 Elements of Algebra: A Course for Grammar Schools and Beginners, in Public and Private Schools Algebra has not always proved to be an interesting subject to the younger classes in our secondary or lower schools; indeed, in very many instances it has been greatly disliked by the students in such institutions. Two causes, chiefly, have conspired to produce this unfortunate con dition of affairs, - one the unattractive and uninteresting method of presenting the subject; the other, the difficulty of the examples and the complexity of the problems pre sented to the pupils for solution. It is believed that this text-book presents the elementary facts of the science in such a manner that a deep interest will be awakened in algebraic processes, and that the examples which the student is required to solve are quite within the scope of his ability to master. The author has in several instances departed from the order of classification commonly followed in text-books on algebra, because he has preferred to arouse an interest in the subject rather than to follow an order which is scientific, but which does not introduce the student to the attractive features of the study until he has mastered all the pro cesses employed with most forms of algebraic quantities. 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.