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

William Snow Burnside

Hardcover

ISBN 10: 0266378625 ISBN 13: 9780266378624

Publisher: Forgotten Books, 2018

Synopsis

A comprehensive introduction to the theory of equations, with accessible paths into binary algebraic forms.

This classic text blends modern algebra with traditional topics, guiding readers from fundamental polynomial ideas to advanced methods in elimination, transformation, and root analysis. The book emphasizes a practical, beginner-friendly approach while presenting essential concepts used by algebraists for generations.

Originally published in 1881 and presented as part of the Dublin University Press Series, this edition offers a clear route through the theory of equations and the theory of binary algebraic forms. It pairs historical context with contemporary techniques, aiming to make powerful tools like determinants, covariants, and invariant theory approachable for new learners. The authors balance algebraic formulas with insightful explanations and numerous examples, including treatments of the cubic, biquadratic, and quartic equations.

• Introduces polynomial equations and their numerical and algebraic solutions.
• Expands into linear transformations, symmetric functions, and the role of determinants.
• Develops the theory of co- and invariants, with a focus on binary forms and related topics.
• Explains modern methods, including Sturm’s theorem and Fourier–Budan analysis for real roots.

Ideal for students and readers seeking a thorough, historically grounded foundation in higher algebra and the theory of binary forms.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0266378625
• ISBN 13: 9780266378624
• Binding: Hardcover
• Number of pages: 406