Books with author Herbert E. 1872-1943 Hawkes

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 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.

About the Book Books about Mathematics consider problems that encompass quantity, space, and rates of change, test theories by with mathematical methods, derive statistical models that estimate actual activity to improve our understanding of real phenomena. Titles include: A Brief Introduction to the Infinitesimal Calculus, A Defence of Free-Thinking in Mathematics, A Memoir of the Theory of Mathematical Form, A treatise on the theory and solution of algebraical equations, Algebra Self-Taught, Algebra to Quadratic Equations, Bibliography of Quaternions and Allied Systems of Mathematics, Die Perspektivischen Kreisbilder der Kegelschnitt, Hints for the Solution of Problems in the Third Edition of Solid Geometry, and Partial Differential Equations. An Essay Towards an Entirely New Method of Integrating Them.About usTrieste Publishing’s aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. Our titles are produced from scans of the original books and as a result may sometimes have imperfections. To ensure a high-quality product we have: thoroughly reviewed every page of all the books in the catalog repaired some of the text in some cases, and rejected titles that are not of the highest quality. You can look up “Trieste Publishing” in categories that interest you to find other titles in our large collection. Come home to the books that made a difference!