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Algebraic K-Theory and Its Applications

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 149/5 ( reviews)

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Book Synopsis Algebraic K-Theory and Its Applications by : Jonathan Rosenberg

Download or read book Algebraic K-Theory and Its Applications written by Jonathan Rosenberg. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.

Algebraic K-Theory and Its Applications

1995-12-22 Mathematics
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Release : 1995-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 483/5 ( reviews)

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Book Synopsis Algebraic K-Theory and Its Applications by : Jonathan Rosenberg

Download or read book Algebraic K-Theory and Its Applications written by Jonathan Rosenberg. This book was released on 1995-12-22. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.

Algebraic K-theory And Its Applications - Proceedings Of The School

1999-03-12
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Release : 1999-03-12
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Kind : eBook
Book Rating : 795/5 ( reviews)

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Book Synopsis Algebraic K-theory And Its Applications - Proceedings Of The School by : Hyman Bass

Download or read book Algebraic K-theory And Its Applications - Proceedings Of The School written by Hyman Bass. This book was released on 1999-03-12. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings volume is divided into two parts. The first part consists of lectures given during the first two weeks devoted to a workshop featuring state-of-the-art expositions on 'Overview of Algebraic K-theory' including various constructions, examples, and illustrations from algebra, number theory, algebraic topology, and algebraic/differential geometry; as well as on more concentrated topics involving connections of K-theory with Galois, etale, cyclic, and motivic (co)homologies; values of zeta functions, and Arithmetics of Chow groups and zero cycles. The second part consists of research papers arising from the symposium lectures in the third week.

Algebraic K-Theory

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 695/5 ( reviews)

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Book Synopsis Algebraic K-Theory by : Hvedri Inassaridze

Download or read book Algebraic K-Theory written by Hvedri Inassaridze. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory. Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. It includes all principal algebraic K-theories, connections with topological K-theory and cyclic homology, applications to the theory of monoid and polynomial algebras and in the theory of normed algebras. This volume will be of interest to graduate students and research mathematicians who want to learn more about K-theory.

An Algebraic Introduction to K-Theory

2002-05-20 Mathematics
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Release : 2002-05-20
Genre : Mathematics
Kind : eBook
Book Rating : 446/5 ( reviews)

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Book Synopsis An Algebraic Introduction to K-Theory by : Bruce A. Magurn

Download or read book An Algebraic Introduction to K-Theory written by Bruce A. Magurn. This book was released on 2002-05-20. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal ideal domain). The presentation is almost entirely self-contained, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. No experience with analysis, geometry, number theory or topology is assumed. Within the context of linear algebra, K-theory organises and clarifies the relations among ideal class groups, group representations, quadratic forms, dimensions of a ring, determinants, quadratic reciprocity and Brauer groups of fields. By including introductions to standard algebra topics (tensor products, localisation, Jacobson radical, chain conditions, Dedekind domains, semi-simple rings, exterior algebras), the author makes algebraic K-theory accessible to first-year graduate students and other mathematically sophisticated readers. Even if your algebra is rusty, you can read this book; the necessary background is here, with proofs.

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