New PDF release: Algebra (Springer-Lehrbuch) (German Edition)

By Jens Carsten Jantzen,Joachim Schwermer

Ausgehend von einer grundlegenden Einführung in Begriffe und Methoden der Algebra werden im Buch die wesentlichen Ergebnisse dargestellt und ein Einblick in viele Entwicklungen innerhalb der Algebra gegeben, die mit anderen Gebieten der Mathematik stark verflochten sind.

 Beginnend mit Begriffsbildungen wie Gruppe und Ring führt das Buch hin zu den Körpererweiterungen und der Galoistheorie. Danach werden zentrale Teile der Theorie der Moduln, Algebren und Ringe behandelt. Die Theorie der Divisionsalgebren und ihre Klassifikation mit Hilfe der Brauergruppe werden entwickelt. Es schließen sich Einführungen in die algebraischen Zahlentheorie und die Theorie der quadratischen Formen an.

 In zahlreichen Supplementen findet guy Ausblicke auf weiterführende Themen. Betrachtet werden zum Beispiel allgemeine lineare Gruppen, Schiefpolynomringe, Darstellungen, Erweiterungen von Moduln, projektive Moduln und Frobenius-Algebren.

Show description

Read or Download Algebra (Springer-Lehrbuch) (German Edition) PDF

Best number theory books

Get Birational Geometry, Rational Curves, and Arithmetic (Simons PDF

​​​​This publication gains fresh advancements in a speedily turning out to be quarter on the interface of higher-dimensional birational geometry and mathematics geometry.  It makes a speciality of the geometry of areas of rational curves, with an emphasis on functions to mathematics questions.  Classically, mathematics is the examine of rational or vital strategies of diophantine equations and geometry is the research of traces and conics.

Read e-book online Analytic Number Theory, Approximation Theory, and Special PDF

This publication, in honor of Hari M. Srivastava, discusses crucial advancements in mathematical study in various difficulties. It comprises thirty-five articles, written by way of eminent scientists from the overseas mathematical neighborhood, together with either learn and survey works. matters coated contain analytic quantity idea, combinatorics, precise sequences of numbers and polynomials, analytic inequalities and functions, approximation of capabilities and quadratures, orthogonality and exact and intricate capabilities.

New PDF release: L-Functions and Arithmetic (London Mathematical Society

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of numerous brief classes, aimed toward providing rigorous yet non-technical expositions of the most recent study components, and a few person lectures on particular issues. The members are all striking figures within the quarter of algebraic quantity conception and this quantity may be of lasting price to scholars and researchers operating within the quarter.

Get Quadratic Residues and Non-Residues: Selected Topics PDF

This e-book deals an account of the classical concept of quadratic residues and non-residues with the target of utilizing that concept as a lens during which to view the improvement of a few of the basic equipment hired in glossy trouble-free, algebraic, and analytic quantity thought. the 1st 3 chapters current a few easy proof and the heritage of quadratic residues and non-residues and talk about a number of proofs of the legislation of Quadratic Reciprosity extensive, with an emphasis at the six proofs that Gauss released.

Extra info for Algebra (Springer-Lehrbuch) (German Edition)

Sample text

Download PDF sample

Algebra (Springer-Lehrbuch) (German Edition) by Jens Carsten Jantzen,Joachim Schwermer


by Jason
4.1

Rated 4.53 of 5 – based on 42 votes