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

Burnside, William Snow

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

Sinopsis

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.

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Reseña del editor

Excerpt from The Theory of Equations: With an Introduction to the Theory of Binary Algebraic Forms

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.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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