Basic Notions of Algebra
. Ed(S): Shafarevich, I. R.; Kostrikin, Aleksei I.; Reid, M.
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Description for Basic Notions of Algebra
Hardback. Offers an informative view on algebra and its place in modern mathematics and science. This book shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches of mathematics, from the fields, commutative rings, and groups studied in various university math course. Editor(s): Shafarevich, I. R.; Kostrikin, Aleksei I.; Reid, M. Series: Encyclopaedia of Mathematical Sciences. Num Pages: 260 pages, biography. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 241 x 163 x 21. Weight in Grams: 542.
§22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K(X) and t the infinite-dimensional linear group. The symbol of an elliptic differential operator. The index theorem. B. Algebraic K-theory 234 The group of classes of projective modules. K , K and K of a ring. K of a field and o l n 2 its relations with the Brauer group. K-theory and arithmetic. Comments on the Literature 239 References 244 Index of Names 249 Subject Index 251 Preface This book aims to present a general survey of algebra, of its basic ... Read more
§22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K(X) and t the infinite-dimensional linear group. The symbol of an elliptic differential operator. The index theorem. B. Algebraic K-theory 234 The group of classes of projective modules. K , K and K of a ring. K of a field and o l n 2 its relations with the Brauer group. K-theory and arithmetic. Comments on the Literature 239 References 244 Index of Names 249 Subject Index 251 Preface This book aims to present a general survey of algebra, of its basic ... Read more
Product Details
Format
Hardback
Publication date
2005
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
260
Condition
New
Series
Encyclopaedia of Mathematical Sciences
Number of Pages
260
Place of Publication
Berlin, Germany
ISBN
9783540251774
SKU
V9783540251774
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Basic Notions of Algebra
From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." (Zentralblatt für Mathematik und Ihre Grenzgebiete, 1991) "...which I read like a novel and undoubtedly will become a classic. ... Read more