March 21, 2018

Bruce A. Magurn's An Algebraic Introduction to K-Theory (Encyclopedia of PDF

By Bruce A. Magurn

ISBN-10: 0521106583

ISBN-13: 9780521106580

ISBN-10: 0521800781

ISBN-13: 9780521800785

this is often an creation to algebraic K-theory with out prerequisite past a primary semester of algebra (including Galois concept and modules over a primary excellent domain). The presentation is nearly completely self-contained, and is split into brief sections with routines to augment the tips and recommend extra traces of inquiry. No event with research, geometry, quantity thought or topology is believed. in the context of linear algebra, K-theory organises and clarifies the kinfolk between perfect classification teams, team representations, quadratic kinds, dimensions of a hoop, determinants, quadratic reciprocity and Brauer teams of fields. through 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 obtainable to first-year graduate scholars and different mathematically subtle readers. no matter if your algebra is rusty, you could learn this e-book; the mandatory history is right here, with proofs.

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

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