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

William Snow Burnside

 
9780265396803: The Theory of Equations: With an Introduction to the Theory of Binary Algebraic Forms (Classic Reprint)

Synopsis

Master the theory of equations with a comprehensive, classroom-ready survey of binary forms and algebraic invariants.

This edition presents a clear progression from basic polynomials to advanced topics, focusing on quadratic, cubic, and quartic equations. It connects classical methods to modern ideas like covariants and invariants, and cites influential works that shaped the subject. A new chapter introduces the covariants and invariants of combined forms, with notes on the quintic and sextic, plus expanded treatment of geometric transformations.

  • Learn how roots relate to coefficients and how to transform equations and their solutions.
  • Explore the algebraic solution of cubic and biquadratic equations, including classic methods and modern refinements.
  • Understand complex numbers and the complex variable, with geometric representations and practical calculations.
  • Discover determinants, matrix ideas, and numerical methods used to analyze and solve equations.
Ideal for students and professionals seeking a thorough, reference-grade foundation in classical and applied algebra.

"synopsis" may belong to another edition of this title.

Other Popular Editions of the Same Title