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Partially Ordered Systems #147: Algebraic K-Theory and Its Applications

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Partially Ordered Systems #147: Algebraic K-Theory and Its Applications Cover

 

Synopses & Reviews

Publisher Comments:

Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.

Synopsis:

Algebraic K-Theory plays a role in many areas of mathematics: most notably algebraic topology, number theory, and algebraic geometry, and operator theory. This book is intended to enable graduate students or mathematicians working in other areas to learn the basics of algebraic K-Theory and to get a feel for its applications.

Synopsis:

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.

Product Details

ISBN:
9780387942483
Author:
Rosenberg, J.
Publisher:
Springer
Author:
Rosenberg, Jonathan
Subject:
Algebra - General
Subject:
Algebra - Linear
Subject:
K-theory
Subject:
Mathematics-Linear Algebra
Subject:
Algebra - Abstract
Copyright:
Edition Number:
2
Edition Description:
1994. Corr. 2nd
Series:
Graduate Texts in Mathematics
Series Volume:
147
Publication Date:
December 1995
Binding:
HARDCOVER
Language:
English
Illustrations:
2 schw.-w. Abb., 2 schw.-w. Zeichn.
Pages:
418
Dimensions:
235 x 155 mm 1650 gr

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Related Subjects

Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Partially Ordered Systems #147: Algebraic K-Theory and Its Applications New Hardcover
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Product details 418 pages Springer-Verlag - English 9780387942483 Reviews:
"Synopsis" by , Algebraic K-Theory plays a role in many areas of mathematics: most notably algebraic topology, number theory, and algebraic geometry, and operator theory. This book is intended to enable graduate students or mathematicians working in other areas to learn the basics of algebraic K-Theory and to get a feel for its applications.
"Synopsis" by , 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.
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