I understand the gist of your comment, but perhaps you could explain more regarding the relationship between analysis and algebra? Cauchy's work certainly fund

I understand the gist of your comment, but perhaps you could explain more regarding the relationship between analysis and algebra? Cauchy's work certainly fundamentally changed our understanding of calculus (in that Newton and Liebnitz's earlier hand-wavy proofs were validated with a rigorous definition of a limit), but I'm not aware of any large impact it had on Galois, who was a contemporary of Cauchy.