The Mathematics of Frobenius in Context: A Journey Through by Thomas Hawkins PDF

Frobenius made many very important contributions to arithmetic within the latter a part of the nineteenth century. Hawkins the following makes a speciality of his paintings in linear algebra and its courting with the paintings of Burnside, Cartan, and Molien, and its extension via Schur and Brauer. He additionally discusses the Berlin university of arithmetic and the guiding strength of Weierstrass in that college, in addition to the elemental paintings of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the foundation for Frobenius's paintings in linear algebra.

Get Lattice Theory: The Common Wealth and International Library: PDF

Lattice conception offers an uncomplicated account of an important department of up to date arithmetic relating lattice conception. This ebook discusses the weird gains, which come with the presentation and exploitation of walls of a finite set. prepared into six chapters, this booklet starts with an outline of the concept that of a number of subject matters, together with units typically, the relatives and operations, the relation of equivalence, and the relation of congruence.

Get Lineare Algebra 2: Anwendungen und Konzepte für Studierende PDF

In diesem Band des zweiteiligen Lehrbuchs zur Linearen Algebra werden zum einen verschiedene Anwendungen zu den Themen des ersten Bandes vertieft: es wird die Lösungstheorie linearer gewöhnlicher Differentialgleichungen mit konstanten Koeffizienten vorgestellt. Zum anderen werden die formalen Konzepte der linearen Algebra vertieft.

Read e-book online Exterior Algebras: Elementary Tribute to Grassmann's Ideas PDF

External Algebras: hassle-free Tribute to Grassmann's principles offers the theoretical foundation for external computations. It first addresses the real query of making (pseudo)-Euclidian Grassmmann's algebras. Then, it indicates how the latter can be utilized to regard a couple of easy, although major, questions of linear algebra, equivalent to co-linearity, determinant calculus, linear platforms reading, volumes computations, invariant endomorphism concerns, skew-symmetric operator experiences and decompositions, and Hodge conjugation, among others.