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

Burnside, William Snow

Couverture souple

ISBN 10 : 1332942601 ISBN 13 : 9781332942602

Editeur : Forgotten Books, 2018

Synopsis

Master the classic theory of equations with a clear, beginner‑friendly approach. This volume presents the fundamental ideas of polynomials, equations, and their root structures, guiding readers from basic concepts to more advanced transformations and covariant ideas in a steady, approachable way.

This edition emphasizes an elementary course that builds a solid foundation before moving to more complex topics. It frames the subject around the interplay between roots, coefficients, and symmetric functions, then expands into determinants, transformations, and numerical methods. The work also references a range of classical sources, showing how ideas evolved across centuries of mathematical study.

- Learn the core ideas of polynomials, equations, and the relationships between roots and coefficients.
- Explore methods for transforming and solving cubic and biquadratic equations, including symmetric functions and determinant-based approaches.
- Understand determinants, their properties, and how they underpin many algebraic techniques.
- See how numerical methods and transformations illuminate practical problem solving in algebra.

Ideal for readers of classical algebra and students seeking a structured, historical introduction to the theory of equations.

A propos du livre

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

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 difficult to read text. Read books online for free at www.forgottenbooks.org

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1332942601
• ISBN 13: 9781332942602
• Reliure: Broché
• Nombre de pages: 473
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