Excerpt from Algebra for the Use of High Schools, Academies and Colleges The true value of a continued fraction 1s between the values of any two successive convergents thereof - Every convergent of an odd order is greater, and every one of an even order, less. 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 University Algebra: Designed for the Use of High Schools, Academies, and Colleges The arrangement of this work is, in many respects, new. The plan of treating every subject as the solution of a gen eral problem, or as the demonstration of a theorem, it is hoped, will greatly facilitate rigid class instruction. Many of the demonstrations have been rendered so clear, that they may be readily comprehended by students of ordinary capacity; others, which are of a more abstruse character, will require close application. 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 High Schools and Academies The book will be found well adapted for use in high schools, academies, and other preparatory institutions. The latest methods and newest processes are fully presented throughout; at the same time, all those older features of the science which are of permanent value have been purposely retained. The plan of the book is such that it may be profitably used by students of different grades. The following is sug gested as a good course for the more elementary classes Fundamental Principles, - Notation, Addition, Subtraction, Multiplication, Division Equations, - the first six principles in Special Theorems and their application to Factoring, High est Common Divisor, Lowest Common Multiple, Equations and Fractions closing with Equations of two and three unknown quantities. The regular course for the more advanced high schools and academies should embrace the first seventeen chapters, while schools preparing students for universities having more advanced requirements will find in the additional chapters which the book contains all that may be needed. 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 Complete Algebra: Designed for Use in Schools, Academies, and Colleges HE author of this treatise on Algebra has undertaken the difficult task of preparing a work complete in one vol ume, which shall be sufficiently thorough for classes in Colleges and Universities, and at the same time sufficiently elementary for classes in Common Schools and Academies. To accomplish this desirable end the work has been so arranged that certain chapters and parts of chapters may be omitted by classes pursu ing an elementary course. 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 School Algebra: Designed for Use in High Schools and Academies It has been the author's aim to prepare a school algebra that is pedagogically sound, as well as mathematically accurate, and thoroughly adequate for its place and purpose. He has kept in mind the fact that the great majority of the pupils who begin the study of algebra are between thirteen and fifteen years of age, and hence are too young and immature to master successfully a text-book designed for older and more advanced students. These young pupils have as a class a fair knowledge of the analytic and inductive processes of arithmetic; and true pedagogical principles require that this prior training be made as helpful as possible in their introduction to algebra. 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 College Algebra, for the Use of Academies, Colleges, and Scientific Schools: With Numerous Examples Throughout the book are numerous examples fully worked out, to illustrate the most useful applications of important rules, and to exhibit the best methods of arranging the work. No principle is well learned by a pupil and thoroughly fixed in his mind till he can use it. For this purpose a very large number of examples is given at the ends of the chapters. These examples have been selected and arranged so as to illustrate and enforce every part of the subject. Each set has been carefully graded, commencing with some which are very easy, and proceeding to others which are more difficult. Complicated examples have been excluded, because they consume time and energy which may be otherwise spent more profitably. The numerous examples are given for the convenience of the teacher, that he may have, year by year, in using the book, a sufficient variety from which to select, and so avoid routine, rather than to require any one pupil to do them all. 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.