The Mathematics of Frobenius in Context : A Journey Through 18th to 20th Century Mathematics

Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of dAlembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobeniuss work in linear algebra. The book concludes with a discussion of Frobeniuss contribution to the theory of stochastic matrices.