The Theory of Equations by William Snow Burnside and Arthur William Panton is a classic mathematical text that delves into the principles and methods of solving algebraic equations. Aimed at students and scholars of mathematics, the book offers a thorough exploration of both the theory and application of equations, from basic concepts to more advanced topics. The authors discuss the fundamental theorems of algebra, including the nature of roots, the behavior of polynomials, and the solution of algebraic equations using various techniques such as factorization, the theory of symmetric functions, and the application of the discriminant. Burnside and Panton also cover important topics such as the Galois theory, the relation between roots and coefficients, and the solvability of higher-degree equations. Clear and methodical in its approach, The Theory of Equations provides a solid foundation for anyone studying algebra, offering a blend of theoretical insights and practical problem-solving strategies.