Joel Lee Brenner
| Joel Lee Brenner | |
|---|---|
| Born |
August 2, 1912 Boston |
| Died | November 14, 1997 (aged 85) Palo Alto, California |
| Citizenship | United States |
| Fields | Mathematics |
| Thesis | The Linear Homogeneous Group Modulo P (1936) |
| Doctoral advisor | Garrett Birkhoff |
| Known for |
Linear algebra Matrix theory |
Joel Lee Brenner (August 2, 1912 – November 14, 1997) was an American mathematician who specialized in matrix theory, linear algebra, and group theory. He is known as the translator of several popular Russian texts. He was a teaching professor at some dozen colleges and universities and was a Senior Mathematician at Stanford Research Institute from 1956 to 1968. He published over one hundred scholarly papers, 35 with coauthors, and wrote book reviews.
In 1930 Brenner earned a B.A. degree with major in chemistry from Harvard University. In graduate study there he was influenced by Hans Brinkmann, Garrett Birkhoff, and Marshall Stone. He was granted the Ph.D. in February 1936. Brenner later described some of his reminiscences of his student days at Harvard and of the state of American mathematics in the 1930s in an article for American Mathematical Monthly.
In 1951 Brenner published his findings about matrices with quaternion entries. He developed the idea of a characteristic root of a quaternion matrix (an eigenvalue) and shows that they must exist. He also shows that a quaternion matrix is unitarily-equivalent to a triangular matrix.
In 1956 he became a Senior Mathematician at Stanford Research Institute. Brenner, in collaboration with Donald W. Bushaw and S. Evanusa, assisted in the translation and revision of Felix Gantmacher's Applications of the Theory of Matrices (1959).
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