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 conception and modules over a central perfect domain). The presentation is nearly solely self-contained, and is split into brief sections with workouts to enhance the information and recommend additional traces of inquiry. No adventure with research, geometry, quantity concept or topology is thought. in the context of linear algebra, K-theory organises and clarifies the relatives between excellent type teams, workforce representations, quadratic varieties, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. by way of together with introductions to straightforward algebra subject matters (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 subtle readers. no matter if your algebra is rusty, you could learn this ebook; the mandatory history is the following, with proofs.

Show description

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

Best geometry & topology books

Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets (Mathematics and Its Applications)

The ebook is dedicated to the speculation of pairs of compact convex units and particularly to the matter of discovering forms of minimum representants of a couple of nonempty compact convex subsets of a in the community convex vector area within the experience of the Rådström-Hörmander concept. minimum pairs of compact convex units come up evidently in numerous fields of arithmetic, as for example in non-smooth research, set-valued research and within the box of combinatorial convexity.

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 warfare dies lediglich eine Vermutung – erst 1998 gelang dem amerikanischen Mathematiker Thomas Hales mit Hilfe von Computern der mathematische Beweis.

Methods of Differential Geometry in Classical Field Theories:k-Symplectic and k-Cosymplectic Approaches

This e-book is dedicated to study of the main suitable ways to the learn of classical box theories of the 1st order, say k-symplectic and k-cosymplectic geometry. This technique is usually in comparison with others like multisymplectic formalism. it will likely be very valuable for researchers operating in classical box theories and graduate scholars attracted to constructing a systematic profession within the topic.

Berechnung Gewölbter Böden (German Edition)

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer ebook records mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen.

Extra info 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