A Historical Survey Of Algebraic Methods Of Approximating The Roots Of Numerical Higher Equations Up To The Year 1819 Classic Reprint

Author : Philip Beecroft
Publisher : Forgotten Books
ISBN 13 : 9780483779297
Total Pages : 62 pages
Book Rating : 4.7/5 (792 download)

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Download or read book Beecroft's General Method of Finding All the Roots, Both Real and Imaginary, of Algebraical Equations, Without the Aid of Auxiliary Equations of Higher Degrees (Classic Reprint) written by Philip Beecroft and published by Forgotten Books. This book was released on 2018-01-24 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Beecroft's General Method of Finding All the Roots, Both Real and Imaginary, of Algebraical Equations, Without the Aid of Auxiliary Equations of Higher Degrees Professor Young, after remarking, in page 469 of his work on the higher equations, that no such solution has yet been devised, adds, that It has indeed been the object of analysts of late to demonstrate the utter impossibilitykof such a solution by any combination of algebraic symbols; on which subject the student is referred to the profound paper of Sir William Hamilton in the Transactions of the Royal Irish Academy, Vol. XVI. The method, however, which I have added, solves completely the general equations of the fifth degree, without using any auxiliary equation of a higher order, and that by a process equally as definite as the general method of solving a cubic equation complete in all its terms, though of course more laborious, the expressions for p, g, &c., in the solution, being merely assumed for greater convenience in forming the cubic by help of which four of the roots are determined, after first determining one real root, as in Dr. Rutherford's method of solving an equation of the fifth degree deprived of its second term by help of an auxiliary equation of the tenth order. Ruth. Eq., pages 20, 21. This method of solving equations of the fifth order is not likely, however. 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.