The Analysis and Solution of Cubic and Biquadratic Equations

The Analysis and Solution of Cubic and Biquadratic Equations PDF

Author: J. R. Young

Publisher:

Published: 2017-07-18

Total Pages: 272

ISBN-13: 9781527610934

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Excerpt from The Analysis and Solution of Cubic and Biquadratic Equations: Forming a Sequel to the Elements of Algebra, and an Introduction to the Theory and Solution of Equations of the Higher OrdersBy the roots of an equation we are to understand all those values, whether real or imaginary, which, when substituted for the unknown quantity in it, verify the equation; that is, which really fulfil the condition implied in the equation.In the theory to be unfolded in the subsequent chapters, we recognize determinate equations only; that is to say, equations containing but one unknown quantity. Groups of equations, in volving as many. Unknown quantities as there are distinct and independent equations, do virtually come within this theory; because every such group may be reduced, by elimination, to so many separate determinate equations, each involving but one unknown quantity. (algebra, art.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.

The Analysis and Solution of Cubic and Biquadratic Equations

The Analysis and Solution of Cubic and Biquadratic Equations PDF

Author: John Radford Young

Publisher: Legare Street Press

Published: 2023-07-18

Total Pages: 0

ISBN-13: 9781019677254

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Originally published in 1852, The Analysis and Solution of Cubic and Biquadratic Equations is a pioneering work in the field of algebra. In this book, John Radford Young provides a clear and concise introduction to the theory and solution of equations of the higher orders, building on the principles established in his earlier work, The Elements of Algebra. Young's elegant and rigorous approach to algebra has influenced generations of mathematicians and continues to be an important reference for scholars today. 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 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. 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.

The Analysis and Solution of Cubic and Biquadratic Equations

The Analysis and Solution of Cubic and Biquadratic Equations PDF

Author: J. R. Young

Publisher: Trieste Publishing

Published: 2017-10-02

Total Pages: 278

ISBN-13: 9780649052011

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Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates.

New and Easy Method of Solution of the Cubic and Biquadratic Equations

New and Easy Method of Solution of the Cubic and Biquadratic Equations PDF

Author: Orson Pratt

Publisher:

Published: 1866

Total Pages: 178

ISBN-13:

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New and Easy Method of Solution of the Cubic and Biquadratic Equations, Embracing Several New Formulas, Greatly Simplifying This Department of Mathematical Science by Orson Pratt, first published in 1866, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.

Solution of Cubic and Quartic Equations

Solution of Cubic and Quartic Equations PDF

Author: S. Neumark

Publisher: Elsevier

Published: 2014-05-16

Total Pages: 65

ISBN-13: 1483185575

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Solution of Cubic and Quartic Equations presents the classical methods in solving cubic and quartic equations to the highest possible degree of efficiency. This book suggests a rapid and efficient method of computing the roots of an arbitrary cubic equation with real coefficients, by using specially computed 5-figure tables. The method of factorizing an arbitrary quartic equation by an appropriate use of a resolvent cubic is also discussed. Section 4 of this text gives several numerical examples that show the rapidity of the procedures suggested. This publication is valuable to mathematicians and students intending to acquire knowledge of the cubic and quartic equations.