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 dating with the paintings of Burnside, Cartan, and Molien, and its extension through Schur and Brauer. He additionally discusses the Berlin college 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 basis for Frobenius's paintings in linear algebra.

Read e-book online Lattice Theory: The Common Wealth and International Library: PDF

Lattice concept provides an straight forward account of an important department of up to date arithmetic pertaining to lattice thought. This ebook discusses the weird positive factors, which come with the presentation and exploitation of walls of a finite set. prepared into six chapters, this ebook starts off with an summary of the concept that of a number of issues, together with units commonly, the relatives and operations, the relation of equivalence, and the relation of congruence.

Lineare Algebra 2: Anwendungen und Konzepte für Studierende by Stefan Waldmann 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.

Exterior Algebras: Elementary Tribute to Grassmann's Ideas by Vincent Pavan PDF

External Algebras: common Tribute to Grassmann's rules presents the theoretical foundation for external computations. It first addresses the $64000 query of making (pseudo)-Euclidian Grassmmann's algebras. Then, it exhibits how the latter can be utilized to regard a number of simple, although major, questions of linear algebra, akin to co-linearity, determinant calculus, linear platforms interpreting, volumes computations, invariant endomorphism issues, skew-symmetric operator reviews and decompositions, and Hodge conjugation, among others.