The Theory of Equations (Classic Reprint): With an Introduction to the Theory of Binary Algebraic Forms - Couverture souple
Synopsis
Excerpt from The Theory of Equations
We shall be employed mainly with such algebraical func tions as are rational and integral. By a rational function of a quantity is meant one which contains that quantity in a rational form only; that is, a form free from fractional indices or radical signs. By an integral function of a quantity is meant one in which the quantity enters in an integral form only; that is, never in the denominator of a fraction. The following expres sion, for example, in which n is a positive integer, is a rational and integral algebraical function of x.
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Présentation de l'éditeur
V 11 K FACE. "We have endeavoured in the present work to combine some of the modern developments of Higher Algebra with the subjects usually included in works on the Theory of Equations. The first ten Chapters contain all the propositions ordinarily found in elementary treatises on the subject. In these Chapters Ave have not hesitated to employ the more modern notation wherever it appeared that greater simplicity or comprehensiveness could he thereby obtained. Regarding the algebraical and the numerical solution of equations as essentially distinct problems, we have purposely omitted in Chap. "VI. numerical examples in illustration of the modes of solution there given of the cubio and biquadratic equations. Such examples do not render clearer the conception of an algebraical solution ; and, for practical purposes, the algebraical formula may be regarded as almost useless in the case of equations of a degree higher than the second. In the treatment of Elimination and Linear Transfo
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This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.
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Paperback. Etat : New. Print on Demand. This book presents an engaging exploration of advanced algebra with a focus on higher equations. Beginning with a thorough examination of polynomials, it elucidates the concepts of algebraic and numerical equations, establishing a strong foundation for further study. The author adeptly demonstrates the connection between the roots and coefficients of equations, delving into the existence of roots and the distinction between real and imaginary solutions. Complex numbers are introduced seamlessly, expanding the scope of the discussion. This book invites readers to navigate the complexities of equations, providing a comprehensive guide to solving cubic and biquadratic equations while also exploring symmetric functions and other advanced topics. Ultimately, the insights provided in this book offer a deeper understanding of the rich tapestry of higher algebra, its historical significance, and its enduring relevance in addressing complex mathematical challenges. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781332916795_0
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The Theory of Equations : With an Introduction to the Theory of Binary Algebraic Forms (Classic Reprint)
Edité par
Forgotten Books Apr 2018, 2018
ISBN 10 : 1332916791
ISBN 13 : 9781332916795
Neuf
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