Elements Of Quaternions Classic Reprint

Author : William Rowan Hamilton
Publisher : Forgotten Books
ISBN 13 : 9781330441169
Total Pages : 560 pages
Book Rating : 4.4/5 (411 download)

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Download or read book Elements of Quaternions written by William Rowan Hamilton and published by Forgotten Books. This book was released on 2015-06-27 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Quaternions, Vol. 2 I have reserved for the Appendix to this Volume the longer additional and illustrative notes which I have written for the new edition of the "Elements." Some of those notes would have been inconveniently long as footnotes; others would have been inconveniently placed. For example, although the Note on Screws relates naturally to Art. 416 and that on the Kinematical Treatment of Curves to Art. 396, I have placed the Note on Screws before the Note on Curves because Hamilton's remarks on screw motion in the earlier Article required some development in order to make the Note on Curves easily intelligible. Accordingly the order of the notes has been arranged with reference to the notes themselves rather than with reference to the text. The selection and treatment of the subjects of these notes have been subordinated to the illustration of quaternion methods. I have not hesitated to sacrifice brevity for suggestiveness, and above all I have tried to render the notation as explicit as possible. An analysis of the Appendix will be found on pages xlv-xlix. For greater convenience I have provided an Index to the whole work referring to the pages, the volumes being distinguished by the numbers i and ii. I take this opportunity of testifying to the extraordinary accuracy both of matter and of printing in the first edition of the "Elements." Every portion of the work bears evidence of Hamilton's unsparing pains. I cannot recall a single sentence ambiguous in its meaning, or a single case in which a difficulty is not honestly faced. I see no sign of diminished vigour or of relaxed care in those portions of the work written in his failing health. My task as editor has convinced me of the extreme caution with which any endeavour should be made to improve or modify the calculus of Quaternions. In conclusion, I desire to express my thanks to the College Printer, Mr. George Weldrick, for the great care he has taken in printing this edition for the Board of Trinity College, and for his unvarying courtesy to myself. 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.