Title:
CAUCHY: HIS CONTRIBUTION TO THE STUDY OF DETERMINANTS AND NUMBER THEORY

Authors:
Boniello Carmine, Italy

Abstract:

In this article, we will examine two interesting contributions that Cauchy has made to mathematics of all time: determinants and number theory. In linear algebra, the determinant of a square matrix is a number that describes some algebraic and geometric properties of the matrix. The determinant is a powerful tool used in various fields of mathematics: first of all in the study of systems of linear equations, then in multidimensional calculus (for example in the Jacobian), in tensor calculus, in differential geometry, in combinatorial theory, etc. The theory of numbers is also of fundamental importance. This topics addressed by the great mathematician are very important for mathematics of all times. They were of fundamental importance for subsequent studies.