Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebraic and geometric questions. Algebraic $K$-theory, which is the main character of this book, deals mainly with studying the structure of rings. However, it turns out that even working in a purely algebraic context, one requires techniques from homotopy theory to construct the higher $K$-groups and to perform computations. The resulting interplay of algebra, geometry, and topology in $K$-theory provides a fascinating glimpse of the unity of mathematics. This book is a comprehensive introduction to the subject of algebraic $K$-theory. It blends classical algebraic techniques for $K_0$ and $K_1$ with newer topological techniques for higher $K$-theory such as homotopy theory, spectra, and cohomological descent. The book takes the reader from the basics of the subject to the state of the art, including the calculation of the higher $K$-theory of number fields and the relation to the Riemann zeta function.

� propos de l?auteur:

Charles A. Weibel, Rutgers University, New Brunswick, NJ, USA

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

Description de la librairie

Visitez la page d�accueil du vendeur

Informations commerciales relatives au vendeur

SGS Trading Inc
399 Scholar Ct, Franklin Lks, NJ, 07417, U.S.A.

Conditions de vente :

We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.

Conditions de livraison :

Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.

Modes de paiement
accept�s par le vendeur

Ajouter aux demandes de livres

Articles li�s � The K-Book: An Introduction to Algebraic K-theory (Graduate...

The K-Book: An Introduction to Algebraic K-theory (Graduate Studies in Mathematics, 145)

Weibel, Charles A.

Neuf(s) - Couverture rigide

Informations commerciales relatives au vendeur