passa ai contenuti
Algebra Anteprima di questo documento
ChiudiAnteprima di questo documento
Stiamo controllando…

Algebra

Autore: Falko Lorenz; Silvio Levy
Editore: New York : Springer, 2006-2008.
Serie: Universitext.
Edizione/Formato:   eBook : Document : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
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  Per saperne di più…
Voto:

(non ancora votato) 0 con commenti - Diventa il primo.

Soggetti
Altri come questo

 

Trova una copia online

Collegamenti a questo documento

Trova una copia in biblioteca

&AllPage.SpinnerRetrieving; Stiamo ricercando le biblioteche che possiedono questo documento…

Dettagli

Genere/forma: Textbooks
Manuels d'enseignement supérieur
Informazioni aggiuntive sul formato: Print version:
Lorenz, Falko.
Algebra.
New York : Springer, 2006-2008
(DLC) 2005932557
(OCoLC)63127532
Tipo materiale: Document, Risorsa internet
Tipo documento: Internet Resource, Computer File
Tutti gli autori / Collaboratori: Falko Lorenz; Silvio Levy
ISBN: 9780387316086 0387316086 9780387724881 0387724885
Numero OCLC: 209914197
Note: Textbook for graduates.
Descrizione: 1 online resource (2 v.(vi, 293; ix, 336) : ill.
Contenuti: Vol. I. Fields and Galois theory / with the collaboration of the translator, Silvio Levy --
Constructibility with Ruler and Compass --
Algebraic Extensions --
Simple Extensions --
Fundamentals of Divisibility --
Prime Factorization in Polynomial Rings. Gauss's Theorem --
Polynomial Splitting Fields --
Separable Extensions --
Galois Extensions --
Finite Fields, Cyclic Groups and Roots of Unity --
Group Actions --
Applications of Galois Theory to Cyclotomic Fields --
Further Steps into Galois Theory --
Norm and Trace --
Binomial Equations --
Solvability of Equations --
Integral Ring Extensions --
The Transcendence of [pi] --
Transcendental Field Extensions --
Hilbert's Nullstellensatz --
Appendix: Problems and Remark --
Index of Notation. Vol. 2. Fields with structure, algebras, and advanced topics / with the collaboration of the translator, Silvio Levy --
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.
Titolo della serie: Universitext.
Altri titoli: Einführung in die Algebra.
Responsabilità: Falko Lorenz.
Maggiori informazioni:

Abstract:

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  Per saperne di più…

Commenti

Recensioni editoriali

Sinossi editore

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 Per saperne di più…

 
Commenti degli utenti
Recuperando commenti GoodReads…
Stiamo recuperando commenti DOGObooks

Etichette

Diventa il primo.
Conferma questa richiesta

Potresti aver già richiesto questo documento. Seleziona OK se si vuole procedere comunque con questa richiesta.

Dati collegati


<http://www.worldcat.org/oclc/209914197>
bgn:translationOfWork
library:oclcnum"209914197"
library:placeOfPublication
library:placeOfPublication
rdf:typeschema:MediaObject
rdf:typeschema:Book
rdf:valueUnknown value: dct
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:bookFormatschema:EBook
schema:contributor
schema:creator
schema:datePublished"2006/2008"
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, diophantine dimensions 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:exampleOfWork
schema:genre"Textbooks"@en
schema:hasPart
schema:hasPart
schema:inLanguage"en"
schema:isPartOf
schema:name"Algebra"@en
schema:publication
schema:publisher
schema:url
schema:url<http://rave.ohiolink.edu/ebooks/ebc/0387316086>
schema:url<http://dx.doi.org/10.1007/978-0-387-72488-1>
schema:url<http://rave.ohiolink.edu/ebooks/ebc/9780387724881>
schema:url<http://www.myilibrary.com?id=133524>
schema:url<http://www.springerlink.com/openurl.asp?genre=book&isbn=978-0-387-28930-4>
schema:workExample
wdrs:describedby

Content-negotiable representations

Chiudi finestra

Per favore entra in WorldCat 

Non hai un account? Puoi facilmente crearne uno gratuito.