An Algebraic Introduction to K-Theory (Encyclopedia of by Bruce A. Magurn

By Bruce A. Magurn

this can be an advent to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois idea and modules over a vital perfect domain). The presentation is nearly totally self-contained, and is split into brief sections with workouts to augment the tips and recommend additional traces of inquiry. No event with research, geometry, quantity concept or topology is believed. in the context of linear algebra, K-theory organises and clarifies the relatives between excellent type teams, workforce representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by way of together with introductions to plain algebra issues (tensor items, localisation, Jacobson radical, chain stipulations, Dedekind domain names, semi-simple earrings, external algebras), the writer makes algebraic K-theory available to first-year graduate scholars and different mathematically refined readers. whether your algebra is rusty, you could learn this e-book; the mandatory historical past is right here, with proofs.

Show description

Read or Download An Algebraic Introduction to K-Theory (Encyclopedia of Mathematics and its Applications) PDF

Similar geometry & topology books

Die Keplersche Vermutung: Wie Mathematiker ein 400 Jahre altes Rätsel lösten (German Edition)

Sir Walter Raleigh wollte wissen, wie Kanonenkugeln in einem Schiff am dichtesten gestapelt werden können. Der Astronom Johannes Kepler lieferte im Jahr 1611 die Antwort: genau so, wie Gemüsehändler ihre Orangen und Tomaten aufstapeln. Noch struggle dies lediglich eine Vermutung – erst 1998 gelang dem amerikanischen Mathematiker Thomas Hales mit Hilfe von Computern der mathematische Beweis.

Open Problems in Topology II: Pt. 2

This quantity is a set of surveys of study difficulties in topology and its purposes. the subjects coated contain basic topology, set-theoretic topology, continuum thought, topological algebra, dynamical platforms, computational topology and useful research. * New surveys of study difficulties in topology* New views on vintage difficulties* consultant surveys of analysis teams from all over the global

Übungsbuch zur Linearen Algebra und analytischen Geometrie: Aufgaben mit Lösungen (Springer-Lehrbuch) (German Edition)

In dem Buch werden Aufgaben unterschiedlichen Schwierigkeitsgrades zu den Grundbegriffen der Mathematik, Linearen Algebra, analytischen Geometrie sowie der Numerischen Algebra ausführlich behandelt und Lösungen aufgezeigt. Ein Teil der Aufgaben bezieht sich auf Anwendungen und stellt Querverbindungen zu anderen mathematischen Gebieten her.

Geometrical Kaleidoscope (Dover Books on Mathematics)

A highschool direction in geometry and a few interest and exuberance for the topic are the single must haves for tackling this unique exploration into the sector, lengthy a favourite for readers whose curiosity in math isn't only practical and academic, but in addition leisure. The booklet facilities on geometric thinking—what it skill, the way to increase it, and the way to acknowledge it.

Additional resources for An Algebraic Introduction to K-Theory (Encyclopedia of Mathematics and its Applications)

Sample text

Download PDF sample

Rated 4.48 of 5 – based on 22 votes