Category: 2. Algebra

Galois’ work was the end of one main line of algebra—solving equations by radical methods—and the beginning of a new line—the study of abstract structures. The work on the sequence started by Lagrange and Ruffini received further inspiration in 1815 from the famous French mathematician Augustin-Louis Cauchy. In work after 1844, Cauchy systematized much of…

An important breakthrough in the algebraic solution of advanced equations was achieved in 1770 by the Italian-French mathematician Joseph Louis Lagrange. Instead of directly trying to find a general solution to the quantic equations, Lagrange first tried to explain why all the effort was made. Thus failed to investigate known solutions of third and fourth…

Descartes’ work marked the beginning of the transformation of multidisciplinary mathematical interest into an autonomous object. To a large extent, algebra was identified with the theory of polynomials. A clear concept of polynomial equations, together with existing techniques for solving some of them, allows a coherent and systematic reformulation of many questions that were previously…

Algebra is the branch of mathematics in which abstract symbols, rather than numbers, are manipulated or operated with arithmetic. For example, x + y = z or b – 2 = 5 are algebraic equations, but 2 + 3 = 5 and 73 * 46 = 3,358 are not. Classical AlgebraThe work of François Viète at…