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
d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and
Cayley that laid the groundwork for Frobenius's work in linear
algebra. The book concludes with a discussion of Frobenius's
contribution to the theory of stochastic matrices.
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