Download or read book Quaternions as the Result of Algebraic Operations Classic Reprint written by Arthur Latham Baker and published by Forgotten Books. This book was released on 2017-11-22 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Quaternions as the Result of Algebraic Operations The author's own experience with this method of presenta tion of the subject to beginners has been encouraging. It is hoped others will have the same experience. 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.
Download or read book Quaternions as the Result of Algebraic Operations written by Arthur Latham Baker and published by . This book was released on 1911 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quaternions as the Result of Algebraic Operations written by Arthur Latham Baker and published by . This book was released on 1990 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quaternions as the Result of Algebraic Operations written by Arthur Latham Baker and published by Forgotten Books. This book was released on 2015-06-25 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Quaternions as the Result of Algebraic Operations Beginners in the subject of Quaternions are generally bewildered by the arbitrary manner in which the subject is developed. They are forcibly introduced into a new domain where the familiar rules of combination of symbols are not valid. New magnitudes are arbitrarily assumed, subject to arbitrary laws. The reader finds the logic consistent and the results concordant with those of his previous courses, but he hardly knows why. He finds himself in a new country, but thoroughly and bewilderingly uncertain as to how he got there. It is in the attempt to avoid this uncertain journey, to lead the student from the known to the unknown by familiar steps, by steps which require no arbitrary limitations of former laws, but merely their adaptation to new circumstances, that these class notes have grown into their present shape. The backbone of the method of presentation is the use of a one-to-one correspondence between the mathematical concept and what I have ventured to call its idiographic symbol, that is, a symbol whose spatial properties are the same as the mathematical properties of the concept it symbolizes. From this similarity of properties there exists a one-to-one correspondence between the results of spatial operations upon the symbols and the corresponding mathematical operations upon the concept. 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.
Download or read book QUATERNIONS AS THE RESULT OF A written by Arthur Latham 1853-1934 Baker and published by Wentworth Press. This book was released on 2016-08-29 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book A Manual of Quaternions written by Charles Jasper Joly and published by . This book was released on 1905 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quaternions as the Result of Algebraic Operations Primary Source Edition written by Arthur Latham Baker and published by Nabu Press. This book was released on 2014-02-23 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Quaternions As The Result Of Algebraic Operations; Cornell University Library Historical Math Monographs Arthur Latham Baker D. Van Nostrand company, 1911 History; General; History / General; Mathematics / General; Quaternions
Download or read book Introduction to Quaternions written by P. Kelland and published by BoD – Books on Demand. This book was released on 2023-09-24 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quaternions as the Results of Algebraic Operations written by A.L. Baker and published by . This book was released on 1911 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Outlines of Quaternions Classic Reprint written by Henry William Lovett Hime and published by Forgotten Books. This book was released on 2016-10-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Outlines of Quaternions Actual is used as opposed to null real as Opposed to imaginary. In order to determine the position of any point in space, B, in relation to any other point, A, three numbers must be known. Let A be the centre of the earth (supposed to be a perfect sphere), and B any point upon its surface. Then, in order to be able to draw a straight line from A to B we must know, first, the Latitude of B secondly, its Longi tude 3 and thirdly, the Radius Of the Earth. Every vector, then, implicitly involves three numbers; one indicating its length, and two its direction. A vector is not to be confounded with the radius vector of Algebraic Geometry. The latter represents length only, and implies but one number. It is, in fact, one of the three numbers contained in a vector. Opposite Vectors, such as AB and ba, are sometimes called Vector and Revector. 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.
Download or read book Introduction to Quaternions written by Philip Kelland and published by Forgotten Books. This book was released on 2018-01-09 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Introduction to Quaternions: With Numerous Examples IN preparing this second edition for press I have altered as slightly as possible those portions of the work which were written entirely by Prof. Kelland. The mode of presentation which he employed must always be of great interest, if only from the fact that he was an exceptionally able teacher; but the success of the work, as an introduction to a method which is now rapidly advancing in general estimation, would of itself have been a sufficient motive for my refraining from any serious alteration. A third reason, had such been necessary, would have pre sented itself in the fact that I have never considered with the necessary care those metaphysical questions connected with the growth and development of mathematical ideas, to which my late venerated teacher paid such particular attention. My own part of the book (including mainly Chap. X. And worked out Examples 10 - 24 in Chap. IX.) was written hurriedly, and while I was deeply engaged with work of a very different kind so that I had no hesitation in determining to re-cast it where I fancied I could improve it. 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.
Download or read book Elements of Quaternions Classic Reprint written by William Rowan Hamilton and published by Forgotten Books. This book was released on 2017-07-18 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Quaternions This fragment, by the Author, was found in one of his manuscript books by the editor.table OF contents. 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.
Download or read book Elements of Quaternions Vol 2 Classic Reprint written by William Rowan Hamilton and published by Forgotten Books. This book was released on 2018-03-16 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Quaternions, Vol. 2 In other words, the calculation of 1' and P introduces no differentials higher than the third order but that of R' requires the fourth order of differentials. In the language of modern geometry, the former can be determined by the consideration of four consecutive points of the curve, or by that of two consecutive osculating circles; but the latter requires the consideration of two consecutive osculating spheres, and therefore of five consecutive points of the curve (supposed to be one of double curvature). Other investigations, in the present and immediately following Series (398. 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.
Download or read book Utility of Quaternions in Physics Classic Reprint written by A. McAulay and published by Forgotten Books. This book was released on 2017-11-25 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Utility of Quaternions in Physics IT is a curious phenomenon in the History of Mathematics that the greatest work of the greatest Mathematician of the century which prides itself upon being the most enlightened the world has yet seen, has suffered the most chilling neglect. The cause of this is not at first sight obvious. We have here little to do with the benefit provided by Quaternions to Pure Mathematics. The reason for the neglect here may be that Hamilton himself has developed the Science to such an extent as to make successors an impossibility. One cannot however resist a strong suspicion that were the subject even studied we should hear more from Pure Mathematicians, of Hamilton's valuable results. This reason at any rate cannot be assigned for the neglect'of the Physical side of Quaternions. Hamilton has done but little in this field, and yet when we ask what Mathematical Physicists have been tempted by the bait to win easy laurels (to put the incentive on no higher grounds), the answer must be scarcely one. Prof. Tait is the grand exception to this. But well known Physicist though he be, his fellow-workers for the most part render themselves incapable of appreciating his valuable services by studying the subject if at all only as dilettanti. The number who read a small amount in Quaternions is by no means small, but those who get further than what is recommended by Maxwell as imperatively necessary are but a small percentage of the whole. 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.
Download or read book An Elementary Treatise on Quaternions Classic Reprint written by P. G. Tait and published by . This book was released on 2017-09-18 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Manual for Quaternions written by and published by . This book was released on 1905 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Octonions written by Alexander McAulay and published by Forgotten Books. This book was released on 2017-10-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Octonions: A Development of Clifford's Bi-Quaternions Most of the methods and some of the results which follow are to some extent, I believe, novel. But I fear that many references to the work of others which ought to occur are wanting. The treatise was written at a distance from all mathematical libraries. I believe I should have been able to improve it in many respects if I had been able to consult the many authorities cited by Sir Robert Ball in his Theory of Screws. 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.
