By Bruce A. Magurn

ISBN-10: 0521106583

ISBN-13: 9780521106580

ISBN-10: 0521800781

ISBN-13: 9780521800785

this can be an creation to algebraic K-theory without prerequisite past a primary semester of algebra (including Galois idea and modules over a vital perfect domain). The presentation is sort of solely self-contained, and is split into brief sections with routines to enhance the tips and recommend extra traces of inquiry. No adventure with research, geometry, quantity conception or topology is thought. in the context of linear algebra, K-theory organises and clarifies the relatives between excellent category teams, team representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. via 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 obtainable to first-year graduate scholars and different mathematically refined readers. whether your algebra is rusty, you could learn this booklet; the required history is the following, with proofs.

Show description

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

Similar geometry & topology books

Read e-book online Elimination Methods (Texts & Monographs in Symbolic PDF

The improvement of polynomial-elimination innovations from classical thought to fashionable algorithms has passed through a tortuous and rugged course. this is often saw L. van der Waerden's removing of the "elimination thought" bankruptcy from from B. his vintage glossy Algebra in later versions, A. Weil's wish to get rid of "from algebraic geometry the final lines of removal theory," and S.

Vector Analysis Versus Vector Calculus (Universitext) - download pdf or read online

The purpose of this ebook is to facilitate using Stokes' Theorem in applications.  The textual content takes a differential geometric viewpoint and gives for the scholar a bridge among natural and utilized arithmetic by means of conscientiously development a proper rigorous improvement of the subject and following this via to concrete purposes in and 3 variables.

Algebraic Topology: A First Course (Graduate Texts in - download pdf or read online

To the instructor. This publication is designed to introduce a scholar to a couple of the real principles of algebraic topology by way of emphasizing the re­ lations of those principles with different parts of arithmetic. instead of selecting one perspective of modem topology (homotopy thought, simplicial complexes, singular conception, axiomatic homology, vary­ ential topology, and so forth.

Download e-book for iPad: Geometry and Integrability (London Mathematical Society by Lionel Mason,Yavuz Nutku

So much integrable platforms owe their starting place to difficulties in geometry and they're top understood in a geometric context. this is often very true at the present time while the heroic days of KdV-type integrability are over. difficulties that may be solved utilizing the inverse scattering transformation have reached the purpose of diminishing returns.

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 Thomas

Rated 4.47 of 5 – based on 47 votes