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The Algebraic Solution Of Equations Of Any Degree: A Novel, Simple And Direct Method For The Solution Of Equations Of The Nth Degree (1899) - Couverture souple

Buchanan, Louis Alexander; Andre, John Lewis

 
9781166928452: The Algebraic Solution Of Equations Of Any Degree: A Novel, Simple And Direct Method For The Solution Of Equations Of The Nth Degree (1899)

Synopsis

""The Algebraic Solution Of Equations Of Any Degree"" is a book written by Louis Alexander Buchanan and first published in 1899. The book presents a novel, simple, and direct method for solving equations of the nth degree, which can be used to solve equations of any degree. The author explains the method step by step, providing clear and concise explanations of the underlying mathematical principles. The book is written in a clear and accessible style, making it suitable for students, teachers, and anyone interested in mathematics. The author provides numerous examples and exercises to help readers understand the method and apply it to different types of equations. Overall, ""The Algebraic Solution Of Equations Of Any Degree"" is a valuable resource for anyone looking to improve their understanding of algebra and solve equations of any degree with ease.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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Présentation de l'éditeur

In presenting the following pages we are attempting to introduce a method for the solution of equations of any degree which we believe to be novel and simple. A method that resorts to no artificial nor indirect processes for the completion of the given quantity to produce perfect squares; nor any mathematical substitution or jugglerythat may lead the student to fields not strictly algebraic, involving trigonometry, graphics, or the various processes sometimes resorted to in the solution of equations of a higher degree than the quad |ratic. JW ebelieve the method to be direct, simple and strictly in l| accordance with the common sense dictates of the given vequation, to be solved ;to illustrate, if bxw=c and the value ki of Xbe required ;we divide cby the coefficient of xand --I extract then root of the unknown quantity and so on throughout for any given power or number of terms when 1the exponents are integers or can be readily transformed to v. integral powers. -J The first chapter is devoted to a comprehensive review on 5the binomial formula upon which the solution of the method herein given is solely based, and the processes of involution |and evolution. These topics have been dealt with thori oughly so far as it has been thought necessary and helpful to .explain this method. tI nthe chapter on equations, we have added some of the the theory of equations, such as Descartes Rule, and the theory showing the relation between the coefficient of (jt:) jand the roots of the equation (x) =0: and as much more as was thought useful and necessary.
(Typographical errors above are due to OCR software and don't occur in the book.)

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