What is the history of group theory? скачать в хорошем качестве

What is the history of group theory?

Group theory was developed gradually from efforts to solve polynomial equations of various degrees. Its origin trace back to the 18th century work of mathematicians like Lagrange, who studied permutations of roots of equations. In the 19th century, Évariste Galois made a breakthrough by linking group structures to the solvability of equations, laying the foundation of modern group theory. Later, mathematicians such as Cayley, Cauchy, and Sylow formalized abstract groups and their properties. By the late 19th and early 20th centuries, group theory became a central field in mathematics with applications across science. Some references for the exploration of history of group theory are as follows: https://www.math.lsu.edu/~adkins/m720... https://www.math.univ-toulouse.fr/~ba... Chapters 0:00 Introduction 5:21 Lagrange's resolvent equation to solve a cubic 34:15 Birth of group theory