The Theory of Equations (Classic Reprint): With an Introduction to the Theory of Binary Algebraic Forms - Couverture souple

Burnside, William Snow

 
9781332942602: The Theory of Equations (Classic Reprint): With an Introduction to the Theory of Binary Algebraic Forms

Synopsis

Excerpt from The Theory of Equations

Many attempts have been made to arrive at similar general formulas for equations of the fifth and higher degrees; but it may now be regarded as established by the researches of modern analysts that it is not possible by means of radical signs, and other signs of operation employed in common algebra, to ex press the root of an equation of the fifth or any higher degree in terms of the coefficients.

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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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