跳到内容
Algebra. Vol. 2, Fields with structure, algebras, and advanced topics 预览资料
关闭预览资料
正在查...

Algebra. Vol. 2, Fields with structure, algebras, and advanced topics

著者: Falko Lorenz; Silvio Levy
出版商: New York : Springer, ©2008.
丛书: Universitext.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic  再读一些...
评估:

(尚未评估) 0 附有评论 - 争取成为第一个。

主题
更多类似这样的

 

在线查找

与资料的链接

在图书馆查找

&AllPage.SpinnerRetrieving; 正在查找有这资料的图书馆...

详细书目

类型/形式: Electronic books
Problems and exercises
Textbooks
Problems, exercises, etc
附加的形体格式: Print version:
Lorenz, Falko.
Algebra. Vol. 2, Fields with structure, algebras, and advanced topics.
New York : Springer, ©2008
(DLC)cis00003089
材料类型: 文献, 互联网资源
文档类型 互联网资源, 计算机文档
所有的著者/提供者: Falko Lorenz; Silvio Levy
ISBN: 9780387724881 0387724885
OCLC号码: 308295908
描述: 1 online resource (1 volume) : illustrations.
内容: Foreword --
Ordered fields and real fields --
Hilbert's seventeenth problem and the real nullstellensatz --
Orders and quadratic forms --
Absolute values on fields --
Residue class degree and ramification index --
Local fields --
Witt vectors --
The tsen rank of a field --
Fundamentals of modules --
Wedderburn theory --
Crossed products --
The brauer group of a local field --
Local class field theory --
Semisimple representations of finite groups --
The schur group of a field --
Appendix: problems and remarks --
Index
丛书名: Universitext.
其他题名: Einführung in die Algebra.
Fields with structure, algebras, and advanced topics
责任: Falko Lorenz ; with the collaboration of the translator, Silvio Levy.

摘要:

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read  再读一些...

评论

社评

出版商概要

From the reviews: "The approach taken by the author is very straightforward, both in its presentation of proofs and its examples. Unlike some books, it is very possible to teach yourself the subject 再读一些...

 
用户提供的评论
正在获取GoodReads评论...
正在检索DOGObooks的评论

标签

争取是第一个!
确认申请

你可能已经申请过这份资料。如果还是想申请,请选确认。

链接数据


Primary Entity

<http://www.worldcat.org/oclc/308295908> # Algebra. Vol. 2, Fields with structure, algebras, and advanced topics
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
   bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/308295908#CreativeWork/unidentifiedOriginalWork> ; # Einführung in die Algebra.
   library:oclcnum "308295908" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://id.worldcat.org/fast/937326> ; # Galois theory
   schema:about <http://id.loc.gov/authorities/subjects/sh85052872> ; # Galois theory
   schema:about <http://id.worldcat.org/fast/804885> ; # Algebra
   schema:about <http://id.worldcat.org/fast/804931> ; # Algebraic fields
   schema:about <http://id.loc.gov/authorities/subjects/sh85048127> ; # Algebraic fields
   schema:about <http://experiment.worldcat.org/entity/work/data/3857390301#Topic/algebra> ; # Algebra
   schema:about <http://dewey.info/class/512.9/e22/> ;
   schema:alternateName "Fields with structure, algebras, and advanced topics" ;
   schema:bookFormat schema:EBook ;
   schema:contributor <http://experiment.worldcat.org/entity/work/data/3857390301#Person/levy_silvio> ; # Silvio Levy
   schema:copyrightYear "2008" ;
   schema:creator <http://viaf.org/viaf/24685356> ; # Falko Lorenz
   schema:datePublished "2008" ;
   schema:description "The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews"@en ;
   schema:description "Foreword -- Ordered fields and real fields -- Hilbert's seventeenth problem and the real nullstellensatz -- Orders and quadratic forms -- Absolute values on fields -- Residue class degree and ramification index -- Local fields -- Witt vectors -- The tsen rank of a field -- Fundamentals of modules -- Wedderburn theory -- Crossed products -- The brauer group of a local field -- Local class field theory -- Semisimple representations of finite groups -- The schur group of a field -- Appendix: problems and remarks -- Index"@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/3857390301> ; # Einführung in die Algebra.
   schema:genre "Electronic books"@en ;
   schema:genre "Problems and exercises"@en ;
   schema:genre "Textbooks"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/3857390301#Series/universitext> ; # Universitext.
   schema:isSimilarTo <http://worldcat.org/entity/work/data/3857390301#CreativeWork/algebra_vol_2_fields_with_structure_algebras_and_advanced_topics> ;
   schema:name "Algebra. Vol. 2, Fields with structure, algebras, and advanced topics"@en ;
   schema:productID "308295908" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/308295908#PublicationEvent/new_york_springer_2008> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/3857390301#Agent/springer> ; # Springer
   schema:url <http://www.springerlink.com/openurl.asp?genre=book&isbn=978-0-387-72487-4> ;
   schema:url <http://www.myilibrary.com?id=133782> ;
   schema:url <http://dx.doi.org/10.1007/978-0-387-72488-1> ;
   schema:workExample <http://worldcat.org/isbn/9780387724881> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/308295908> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/3857390301#Person/levy_silvio> # Silvio Levy
    a schema:Person ;
   schema:familyName "Levy" ;
   schema:givenName "Silvio" ;
   schema:name "Silvio Levy" ;
    .

<http://experiment.worldcat.org/entity/work/data/3857390301#Series/universitext> # Universitext.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/308295908> ; # Algebra. Vol. 2, Fields with structure, algebras, and advanced topics
   schema:name "Universitext." ;
   schema:name "Universitext" ;
    .

<http://id.loc.gov/authorities/subjects/sh85048127> # Algebraic fields
    a schema:Intangible ;
   schema:name "Algebraic fields"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85052872> # Galois theory
    a schema:Intangible ;
   schema:name "Galois theory"@en ;
    .

<http://id.worldcat.org/fast/804885> # Algebra
    a schema:Intangible ;
   schema:name "Algebra"@en ;
    .

<http://id.worldcat.org/fast/804931> # Algebraic fields
    a schema:Intangible ;
   schema:name "Algebraic fields"@en ;
    .

<http://id.worldcat.org/fast/937326> # Galois theory
    a schema:Intangible ;
   schema:name "Galois theory"@en ;
    .

<http://viaf.org/viaf/24685356> # Falko Lorenz
    a schema:Person ;
   schema:familyName "Lorenz" ;
   schema:givenName "Falko" ;
   schema:name "Falko Lorenz" ;
    .

<http://worldcat.org/entity/work/data/3857390301#CreativeWork/algebra_vol_2_fields_with_structure_algebras_and_advanced_topics>
    a schema:CreativeWork ;
   rdfs:label "Algebra. Vol. 2, Fields with structure, algebras, and advanced topics." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/308295908> ; # Algebra. Vol. 2, Fields with structure, algebras, and advanced topics
    .

<http://worldcat.org/entity/work/id/3857390301> # Einführung in die Algebra.
   schema:name "Einführung in die Algebra." ;
    .

<http://worldcat.org/isbn/9780387724881>
    a schema:ProductModel ;
   schema:isbn "0387724885" ;
   schema:isbn "9780387724881" ;
    .

<http://www.worldcat.org/title/-/oclc/308295908#CreativeWork/unidentifiedOriginalWork> # Einführung in die Algebra.
    a schema:CreativeWork ;
   schema:inLanguage "de" ;
   schema:name "Einführung in die Algebra." ;
    .


Content-negotiable representations

关闭窗口

请登入WorldCat 

没有张号吗?很容易就可以 建立免费的账号.