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

Frobenius made many vital contributions to arithmetic within the latter a part of the nineteenth century. Hawkins right here specializes in 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 faculty, 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.

Lattice Theory: The Common Wealth and International Library: by Thomas Donnellan,W. J. Langford,E. A. Maxwell,C. Plumpton PDF

Lattice thought offers an basic account of an important department of up to date arithmetic relating lattice concept. This ebook discusses the weird gains, which come with the presentation and exploitation of walls of a finite set. prepared into six chapters, this e-book starts off with an outline of the idea that of a number of themes, together with units normally, the kinfolk 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: effortless Tribute to Grassmann's rules presents the theoretical foundation for external computations. It first addresses the real query of creating (pseudo)-Euclidian Grassmmann's algebras. Then, it exhibits how the latter can be utilized to regard a couple of easy, even though major, questions of linear algebra, corresponding to co-linearity, determinant calculus, linear structures examining, volumes computations, invariant endomorphism concerns, skew-symmetric operator stories and decompositions, and Hodge conjugation, among others.