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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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THE K-BOOK: AN INTRODUCTION TO ALGEBRAIC K-THEORY By Charles A. Weibel BRAND NEW

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    Zuletzt aktualisiert am 10. Aug. 2025 20:49:40 MESZAlle Änderungen ansehenAlle Änderungen ansehen

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    Neu: Neues, ungelesenes, ungebrauchtes Buch in makellosem Zustand ohne fehlende oder beschädigte ...
    ISBN-10
    0821891324
    Book Title
    The K-Book: An Introduction to Algebraic K-Theory (Graduate
    ISBN
    9780821891322
    Kategorie

    Über dieses Produkt

    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
    Author
    Charles A. Weibel
    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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