Books with author Herbert E. Hawkes

Excerpt from Second Course in AlgebraThis revision of the "Second Course in Algebra" has been carried out in the same spirit as was the recent revision of the "First Course in Algebra" by the same authors. The exercises and problems, mainly new, have been carefully graded, and the exposition has been wholly rewritten. Some advantageous changes have been made in the order of topics, and some chapters for which no well-grounded demand exists have been omitted. Such simplifications of exercises and exposition have been made as are consistent with a standard course in third-semester algebra.In the chapters devoted to a review of first-year algebra the fact was borne constantly in mind that the material would be handled by students who had not pursued the study of algebra during the preceding year. It was consequently thought desirable to have work in equations come much earlier than before. The subject of fractions, the topic usually most in need of review, has received full and careful treatment. Linear systems have been presented without the use of determinants. Instead of treating square root, radicals, and exponents in one chapter, the work under these topics has been made more accessible by giving a separate chapter to each. The needs of classes, even under almost identical conditions, differ widely, one class needing more review on a certain topic than does another. Consequently the review material has been expanded so as to afford ample work for any class. It is not intended, however, that all the exercises and problems should be solved by any one student.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

Excerpt from Plane GeometryAlthough the study of geometry is important from an informational point of view, it is generally recognized that a genuine mastery of the subject means real achievement in the solution of original exercises. The chief aim of the authors in preparing this text has been to give such assistance to students as will stimulate insight and develop power to solve exercises of gradually increasing difficulty.The content and organization of the first book of geometry are determining factors in the student's progress in the sub ject. The first ten or twenty theorems determine whether a student will grasp quickly the general trend of the subject or remain bewildered for an indefinite period. The simplicity and directness of the early theorems and the order in which they are presented are elements of the highest importance in an effective introduction. These elements were given the most careful consideration in the preparation of this text. If the first theorem is used in proving the second and the sec ond in proving the third, and so on, the student will soon see a reason for mastering the content of each theorem. But if the initial theorem is used for the first time in the fifteenth theorem, and the second is used next in the eighth, the first month's work will give the impression: that geometry deals with unrelated facts which lead nowhere. Such an arrange ment of the theorems of geometry will hamper even the strongest students, and will make progress almost impossible for the less capable.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.

This book was digitized and reprinted from the collections of the University of California Libraries. It was produced from digital images created through the libraries’ mass digitization efforts. The digital images were cleaned and prepared for printing through automated processes. Despite the cleaning process, occasional flaws may still be present that were part of the original work itself, or introduced during digitization. This book and hundreds of thousands of others can be found online in the HathiTrust Digital Library at www.hathitrust.org.

The following computer-generated description may contain errors and does not represent the quality of the book.Although the study of geometry is important from an informational point of view, it is generally recognized that a genuine mastery of the subject means real achievement in the solution of original exercises. The chief aim of the authors in preparing this text has been to give such assistance to students as will stimulate insight and develop power to solve exercises of gradually increasing difficulty. The content and organization of the first book of geometry are determining factors in the students progress in the subject. The first ten or twenty theorems determine whether a student will grasp quickly the general trend of the subject or remain bewildered for an indefinite period. The simplicity and directness of the early theorems and the order in which they are presented are elements of the highest importance in an effective introduction. These elements were given the most careful consideration in the preparation of this text. If the first theorem is used in proving the second and the second in proving the third, and so on, the student will soon see a reason for mastering the content of each theorem. But if the initial theorem is used for the first time in the fifteenth theorem, and the second is used next in the ehth, the first months work will give the impression that geometry deals with unrelated facts which lead nowhere. Such an arrangement of the theorems of geometry -will hamper even the strongest students, and will make progress almost impossible for the less capable.This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally-enhance 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.Tags: triangle circle line equal prove angles theorem arc lines respectively draw abc geometry proof query plane points figure parallel construct

Excerpt from Plane Geometry Although the study of geometry is important from an informational point of view, it is generally recognized that a genuine mastery of the subject means real achievement in the solution of original exercises. The chief aim of the authors in preparing this text has been to give such assistance to students as will stimulate insight and develop power to solve exercises of gradually increasing difficulty. The content and organization of the first book of geometry are determining factors in the student's progress in the sub ject. The first ten or twenty theorems determine whether a student will grasp quickly the general trend of the subject or remain bewildered for an indefinite period. The simplicity and directness of the early theorems and the order in which they are presented are elements of the highest importance in an effective introduction. These elements were given the most careful consideration in the preparation of this text. If the first theorem is used in proving the second and the sec ond in proving the third, and so on, the student will soon see a reason for mastering the content of each theorem. But if the initial theorem is used for the first time in the fifteenth theorem, and the second is used next in the eighth, the first month's work will give the impression: that geometry deals with unrelated facts which lead nowhere. Such an arrange ment of the theorems of geometry will hamper even the strongest students, and will make progress almost impossible for the less capable. 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.

This book was digitized and reprinted from the collections of the University of California Libraries. It was produced from digital images created through the libraries’ mass digitization efforts. The digital images were cleaned and prepared for printing through automated processes. Despite the cleaning process, occasional flaws may still be present that were part of the original work itself, or introduced during digitization. This book and hundreds of thousands of others can be found online in the HathiTrust Digital Library at www.hathitrust.org.

Excerpt from First Course in Algebra Some informational problems have been included, but wholly with the intention of stimulating interest and not with the idea that such problems are practical, or that they arise in everyday life, or that it is the function of algebra to teach history, geography, or other subjects. 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 First Course in AlgebraThe present revision of the Complete School Algebra bears substantially the same relation to the revised First Course and Second Course that the first edition bore to the original texts. In the revision of each of these texts material for which there is no strong demand from teachers has been omitted, and the entire work has been rewritten in the interest of greater simplicity and directness of appeal. The collections of exercises and problems are for the most part new and contain a larger proportion of easy exercises with simple results than the first edition.A striking feature of the revision is the inclusion of a large number of oral exercises in connection with the introduction of each new idea or Operation. It is the object of these exer cises to present the new concept in complete isolation from any complication of notation or technique so that the student becomes familiar with its content and bearing before he is asked to make use of it in written work. These oral exercises may well be taken up when the advance lesson is assigned, so that the pupil may be certain that he understands the idea involved in the new work before he leaves his instructor.Another feature scarcely less important is the character and position of the examples and hints. The aim has been to help the student at the exact point where he needs it and to avoid the insertion of lengthy and difficult solutions before they can be completely understood.The definitions and axioms have been expressed in the simplest language which is consistent with scientific accuracy. Many definitions which are usually found in elementary texts but which do not contribute to the clearness of the subject are omitted.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.

This book was digitized and reprinted from the collections of the University of California Libraries. It was produced from digital images created through the libraries’ mass digitization efforts. The digital images were cleaned and prepared for printing through automated processes. Despite the cleaning process, occasional flaws may still be present that were part of the original work itself, or introduced during digitization. This book and hundreds of thousands of others can be found online in the HathiTrust Digital Library at www.hathitrust.org.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.