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

By Bruce A. Magurn

this is often an creation to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois idea and modules over a central perfect domain). The presentation is nearly fullyyt self-contained, and is split into brief sections with workouts to augment the information 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 kin between perfect type teams, crew representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by means of together with introductions to plain algebra themes (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 ebook; the required heritage is right here, with proofs.

Show description

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

Similar geometry & topology books

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An technique through Randers areas" completely bargains with a distinct category of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the learn on common Relativity idea and feature been utilized in lots of components of the ordinary sciences.

Mathematical Concepts

The most goal of this booklet is to explain and increase the conceptual, structural and summary considering arithmetic. particular mathematical buildings are used to demonstrate the conceptual procedure; supplying a deeper perception into mutual relationships and summary universal beneficial properties. those principles are conscientiously stimulated, defined and illustrated by way of examples in order that a few of the extra technical proofs may be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a chain of Monographs on natural and utilized arithmetic, quantity VII: sleek common Topology specializes in the methods, operations, ideas, and techniques hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The ebook first elaborates on set, cardinal and ordinal numbers, simple options in topological areas, and diverse topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal services, Fractal Surfaces, and Wavelets, moment version, is the 1st systematic exposition of the speculation of neighborhood iterated functionality structures, neighborhood fractal capabilities and fractal surfaces, and their connections to wavelets and wavelet units. The publication relies on Massopust’s paintings on and contributions to the speculation of fractal interpolation, and the writer makes use of a couple of tools—including research, topology, algebra, and chance theory—to introduce readers to this intriguing topic.

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

Sample text

Download PDF sample

Rated 4.88 of 5 – based on 28 votes