THE K-BOOK: AN INTRODUCTION TO ALGEBRAIC K-THEORY By Charles A. Weibel BRAND NEW
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THE K-BOOK: AN INTRODUCTION TO ALGEBRAIC K-THEORY By Charles A. Weibel BRAND NEW
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US $127.95
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Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- ISBN-10
- 0821891324
- Book Title
- The K-Book: An Introduction to Algebraic K-Theory (Graduate
- ISBN
- 9780821891322
About this product
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821891324
ISBN-13
9780821891322
eBay Product ID (ePID)
229506385
Product Key Features
Number of Pages
618 Pages
Publication Name
K-Book : an Introduction to Algebraic K-Theory
Language
English
Publication Year
2013
Subject
Topology
Type
Textbook
Subject Area
Mathematics
Series
Graduate Studies in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
1.5 in
Item Weight
43.7 Oz
Item Length
10.3 in
Item Width
7.4 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2012-039660
Dewey Edition
23
TitleLeading
The
Reviews
"Weibel presents his important and elegant subject with the authority of an experienced insider, placing stresses where they should be, presenting motivations and characterizations (always succinctly) so as to familiarize the reader with the shape of the subject ... it contains a great number of examples, woven beautifully into the narrative, and excellent exercises." -- MAA
Series Volume Number
145
Dewey Decimal
512/.66
Table Of Content
Projective modules and vector bundles The Grothendieck group $K_0$ $K_1$ and $K_2$ of a ring Definitions of higher $K$-theory The fundamental theorems of higher $K$-theory The higher $K$-theory of fields Nomenclature Bibliography Index
Synopsis
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., 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.
LC Classification Number
QA612.33.W45 2013
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- d***d (1402)- Feedback left by buyer.Past monthVerified purchaseSmooth transaction, arrived within expected timeframe, looks great. Thanks!
- b***e (377)- Feedback left by buyer.Past monthVerified purchaseItem received in timely fashion just as advertised, excellent communication from seller. 100 % would choose this seller again.
- s***b (272)- Feedback left by buyer.Past monthVerified purchaseWonderful seller excellent service!