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

William Snow Burnside

Hardcover

ISBN 10: 0331569701 ISBN 13: 9780331569704

Publisher: 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.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0331569701
• ISBN 13: 9780331569704
• Binding: Hardcover
• Number of pages: 475