Algebraic Equations (Classic Reprint) - Couverture souple

By, By Ballard

9781440069826: Algebraic Equations (Classic Reprint)

Couverture souple

ISBN 10 : 1440069824 ISBN 13 : 9781440069826

Editeur : Forgotten Books, 2018

Afficher les exemplaires de cette �dition comportant l?ISBN

0 D'occasion

4 Neuf

De EUR 15,87

Explore the math behind polynomials, solvability, and the surprising limits of what equations can reveal.

This accessible guide traces how mathematicians uncover why some polynomial equations can be solved with formulas and others cannot. It introduces ideas like resolvents, Galois theory, and the role of symmetry in equations, using concrete examples from cubic to quintic problems. The book blends historical insight with clear, intuitive explanations to show how abstract concepts connect to solvability.

Learn how roots of equations relate to permutations and symmetry
See why certain degrees of equations resist algebraic solutions
Discover the idea of natural irrationalities and auxiliary equations
Follow a coherent path from simple cases to the general theory of solvability

Ideal for readers of mathematics who want a clear, narrative path through a challenging topic without heavy formalism.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

Pr�sentation de l'�diteur

Galois. The conspicuous merit of this method is that it analyses, so far as exact algebraical processes permit, the set of roots possessed by any given numerical equation. To appreciate it properly it is necessary to bear constantly in mind the difference between equalities in value and identities or equivalences in form; I hope that this has been made sufficiently clear in the text. The method of A bel has not been discussed, because it is neither so clear nor so precise as that of Galois, and the space thus gained has been filled up with examples and illustrations. More than to any other treatise, I feel indebted toP rofessor H. Weber sinvaluable A lgebra, where students who are interested in the arithmetical branch of the subject will find a discussion of various types of equations, which, for lack of space, I have been compelled to omit. I am obliged toM rM orris Owen, a student of the University College of North Wales, for helping me by verifying some long calculations which had to be made in connexion with A rt. 52. G. B. M. Bangor, A ugust, 1907.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1440069824
ISBN 13: 9781440069826
Reliure: Broch�
Nombre de pages: 76
Coordonn�es du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com
gpsr@podww.com

9 Culley Court
Orton Southgate
Peterborough
Cambridgeshire
PE2 6WA
Royaume-Uni
Personne responsable: Easy Access System Europe O�, 16879218
+358405003575
gpsr.requests@easproject.com

Mustam�e tee 50
Tallinn
10621
Estonie

R�sultats de recherche pour Algebraic Equations (Classic Reprint)

Image fournie par le vendeur

Algebraic Equations (Classic Reprint)

George Ballard Mathews

Edit� par Forgotten Books, 2018

ISBN 10 : 1440069824 ISBN 13 : 9781440069826

Neuf Paperback

impression � la demande

Vendeur : Forgotten Books, London, Royaume-Uni

�valuation du vendeur 4 sur 5 �toiles

Paperback. Etat : New. Print on Demand. This book takes a scholarly approach to solving mathematical equations. It builds upon and expands a crucial method known as Galois theory, originally developed by �variste Galois in the 19th century. Galois theory provides a framework for understanding the solvability of polynomial equations and explores properties of their roots. The method involves studying symmetries and structures within these equations, providing insights into their behavior and potential solutions. The author delves deep into the theoretical underpinnings of Galois theory, offering a comprehensive analysis of its concepts and applications. They guide readers through constructing equations and determining their solvability based on the Galois group associated with each equation. The book also examines the implications of adjoining irrational quantities to extend the field of rationality and simplify the Galois group, making it a valuable resource for mathematicians seeking to expand their knowledge of equation theory and the Galois theory that underpins it. 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 r�f. du vendeur 9781440069826_0

Contacter le vendeur