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

Download e-book for iPad: Lattice Theory: The Common Wealth and International Library: by Thomas Donnellan,W. J. Langford,E. A. Maxwell,C. Plumpton

Lattice idea offers an common account of an important department of latest arithmetic referring to lattice conception. This booklet 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 with an summary of the concept that of numerous themes, together with units normally, the family and operations, the relation of equivalence, and the relation of congruence.

Download e-book for iPad: 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.

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

External Algebras: uncomplicated Tribute to Grassmann's rules offers the theoretical foundation for external computations. It first addresses the $64000 query of making (pseudo)-Euclidian Grassmmann's algebras. Then, it indicates how the latter can be utilized to regard a couple of simple, notwithstanding major, questions of linear algebra, equivalent to co-linearity, determinant calculus, linear platforms examining, volumes computations, invariant endomorphism concerns, skew-symmetric operator stories and decompositions, and Hodge conjugation, among others.