Download e-book for iPad: 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 without prerequisite past a primary semester of algebra (including Galois idea and modules over a critical perfect domain). The presentation is sort of fullyyt self-contained, and is split into brief sections with workouts to augment the information and recommend additional strains of inquiry. No adventure with research, geometry, quantity concept or topology is believed. in the context of linear algebra, K-theory organises and clarifies the kin between perfect category teams, staff representations, quadratic types, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by means of together with introductions to plain algebra issues (tensor items, localisation, Jacobson radical, chain stipulations, Dedekind domain names, semi-simple jewelry, 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 booklet; 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

Get Deformations of Algebraic Schemes: 334 (Grundlehren der PDF

This account of deformation conception in classical algebraic geometry over an algebraically closed box provides for the 1st time a few effects formerly scattered within the literature, with proofs which are particularly little identified, but suitable to algebraic geometers. Many examples are supplied. lots of the algebraic effects wanted are proved.

Moduli Spaces (London Mathematical Society Lecture Note by Leticia Brambila-Paz,Peter Newstead,Richard P. W. PDF

Moduli thought is the research of ways gadgets, generally in algebraic geometry yet occasionally in different components of arithmetic, fluctuate in households and is key to an realizing of the gadgets themselves. First formalised within the Sixties, it represents an important subject of contemporary mathematical examine with powerful connections to many components of arithmetic (including geometry, topology and quantity thought) and different disciplines similar to theoretical physics.

Download PDF by Birger Iversen: Hyperbolic Geometry (London Mathematical Society Student

Even though it arose from merely theoretical concerns of the underlying axioms of geometry, the paintings of Einstein and Dirac has proven that hyperbolic geometry is a primary point of recent physics. during this ebook, the wealthy geometry of the hyperbolic airplane is studied intimately, resulting in the point of interest of the publication, Poincare's polygon theorem and the connection among hyperbolic geometries and discrete teams of isometries.

New PDF release: The Theory and Practice of Conformal Geometry (Aurora: Dover

During this unique textual content, prolific arithmetic writer Steven G. Krantz addresses conformal geometry, a topic that has occupied him for 4 many years and for which he helped to improve a few of the sleek idea. This booklet takes readers with a easy grounding in complicated variable thought to the leading edge of a few of the present techniques to the subject.

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

Sample text

Download PDF sample

An Algebraic Introduction to K-Theory (Encyclopedia of Mathematics and its Applications) by Bruce A. Magurn

by Jeff

Rated 4.27 of 5 – based on 45 votes