classical algebra

Classical algebra, which began with François Viète's work in the late 16th century, is a branch of mathematics focused on manipulating abstract symbols rather than specific numbers. Key developments included the systematic solution of higher-order equations, the study of polynomials as independent mathematical entities, and the integration of algebraic perspectives into geometry, analysis, and logic. While approximation techniques and radical methods for solving equations were important, the focus gradually shifted to new mathematical objects that eventually superseded polynomials. Heinrich Weber's 1895 textbook, Lehrbuch der Algebra, is considered the last major work in the classical tradition, codifying achievements and emphasizing number systems and polynomial equations.123456