The Mathematics of Frobenius in Context: A Journey Through 18th to 20th Century Mathematics (Sources and Studies in the History of Mathematics and Physical Sciences)

Frobenius made many important contributions to mathematics in thelatter part of the 19th century. Hawkins here focuses on his work inlinear algebra and its relationship with the work of Burnside, Cartan,and Molien, and its extension by Schur and Brauer. He also discussesthe Berlin school of mathematics and the guiding force of Weierstrassin that school, as well as the fundamental work of d'Alembert,Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laidthe groundwork for Frobenius's work in linear algebra. The bookconcludes with a discussion of Frobenius's contribution to the theoryof stochastic matrices.