LINEAR ALGEBRA

Cartesian coordinates (Descartes)

1629

René Descartes introduces Cartesian coordinate notation in his work "La Géométrie", laying the foundations for the development of linear algebra.

Matrices (Euler)

1750

Leonhard Euler introduces the concept of "matrix" and develops some of the first techniques for manipulating them.

Determinants (Gauss)

1801

Carl Friedrich Gauss publishes his work "Disquisitiones Arithmeticae", where he presents the results on linear equations and introduces the concept of "determinant".

Vector spaces (Grassmann)

1844

Hermann Grassmann develops the theory of vector spaces and introduces the concept of "scalar product".

Matrices (Sylvester)

1850

James Joseph Sylvester coined the term "matrix" and developed the theory of matrices.

Rank of a matrix (Frobenius)

1870

Georg Frobenius develops the theory of matrices and introduces the concept of "rank" of a matrix.

Vector spaces

1900

David Hilbert develops the theory of vector spaces and introduces the concept of "inner product".

Linear operators (Von Neumann)

1940

John von Neumann develops the theory of linear operators and introduces the concept of "operator algebra". This laid the foundation for the modern theory of Hilbert spaces and quantum mechanics, and had a significant impact on the development of physics and engineering in the 20th century.

Álgebra lineal moderna (Halmos, Strang)

1950

Paul Halmos writes the book "Finite-Dimensional Vector Spaces", which becomes a classic text on linear algebra.