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 right here 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 basic paintings of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the foundation for Frobenius's paintings in linear algebra.

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

Lattice idea offers an easy account of an important department of up to date arithmetic relating lattice idea. This booklet discusses the bizarre positive aspects, which come with the presentation and exploitation of walls of a finite set. equipped into six chapters, this publication starts off with an summary of the concept that of numerous issues, together with units mostly, the kin and operations, the relation of equivalence, and the relation of congruence.

Download e-book for kindle: Lineare Algebra 2: Anwendungen und Konzepte für Studierende by Stefan Waldmann

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.

Download e-book for iPad: Exterior Algebras: Elementary Tribute to Grassmann's Ideas by Vincent Pavan

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