A Method of Approximating Towards the Roots of Cubic Equations Belonging to the Irreducible Case (Classic Reprint)
A Method of Approximating Towards the Roots of Cubic Equations Belonging to the Irreducible Case (Classic Reprint)

Author: James Lockhart

Publisher: Forgotten Books

Published: 2016-11-08

Total Pages: 90

ISBN-13: 9781334215025

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Excerpt from A Method of Approximating Towards the Roots of Cubic Equations Belonging to the Irreducible Case The greater part of the examples have been selected in order to resist the method as much as possible. Some of them include all that is difficult in the irreducible case; and the author assures his readers, that he is not acquainted with a single defect that attaches to this method. 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.

METHOD OF APPROXIMATING TOWARD
METHOD OF APPROXIMATING TOWARD

Author: James 1763-1852 Lookhart

Publisher: Wentworth Press

Published: 2016-08-28

Total Pages: 104

ISBN-13: 9781372423598

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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.

A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations to Any Degree of Accuracy (Classic Reprint)
A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations to Any Degree of Accuracy (Classic Reprint)

Author: J. W. Nicholson

Publisher: Forgotten Books

Published: 2017-12-22

Total Pages: 28

ISBN-13: 9780484482479

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Excerpt from A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations to Any Degree of Accuracy Several years since I was extracting the square and cube roots of numbers by the principles of inequalities (see Nicholson's Elementary Algebra, pp. 212 and the idea occurred to me that the same principles might be advantageously applied to the solution of numerical equations. That idea, though vague in its inception, is the germ of the present production. 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.

A Historical Survey of Algebraic Methods of Approximating the Roots of Numerical Higher Equations Up to the Year 1819 (Classic Reprint)
A Historical Survey of Algebraic Methods of Approximating the Roots of Numerical Higher Equations Up to the Year 1819 (Classic Reprint)

Author: Martin Andrew Nordgaard

Publisher: Forgotten Books

Published: 2017-11-28

Total Pages: 78

ISBN-13: 9780332168081

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Excerpt from A Historical Survey of Algebraic Methods of Approximating the Roots of Numerical Higher Equations Up to the Year 1819 We formerly thought that the root concept originated among the Greeks, but recent discoveries show us that the finding of roots of numbers and the solution of quadratic equations, and even the approximation methods employed in this work; go as far back as the early Egyptian and Babylonian civilizations. 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.

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)
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)

Author: Philip Beecroft

Publisher: Forgotten Books

Published: 2018-01-24

Total Pages: 62

ISBN-13: 9780483779297

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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.

On Methods for Determining Complex Roots of Algebraic Equations
On Methods for Determining Complex Roots of Algebraic Equations

Author: Ralph Craig Huffer

Publisher: Forgotten Books

Published: 2017-10-26

Total Pages: 116

ISBN-13: 9780266783268

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Excerpt from On Methods for Determining Complex Roots of Algebraic Equations: Thesis No attempt will be made to se carefully into the graphical methods for determining complex roots.the algebraic methods will be adhered to except in those cases in which a graphical representa tion will make clear the algebraic processes in use. Ah outline of the study 6: complex roots has been given by?. Cajori in an article entitled A History of the Arithmetical Methods of Approximation to the Roots of Numerical Equations published in the Colorado College Publication of November,1910. 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.

On the Convergence of Discrete Approximations to the Navier-Stokes Equations (Classic Reprint)
On the Convergence of Discrete Approximations to the Navier-Stokes Equations (Classic Reprint)

Author: Alexandre Joel Chorin

Publisher: Forgotten Books

Published: 2017-12-19

Total Pages: 40

ISBN-13: 9780484091701

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Excerpt from On the Convergence of Discrete Approximations to the Navier-Stokes Equations In the present paper we shall adopt a different point of view. We shall assume that the differential equations have a solution with a certain number of continuous derivatives. Armed with this knowledge, we shall study difference schemes which are not merely usable, but even efficient. The methods analyzed are based on the following observations: Equation (1) 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.