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

Verfasser/in: Falko Lorenz; Silvio Levy
Verlag: New York : Springer, ©2008.
Serien: Universitext.
Ausgabe/Format   E-Book : Dokument : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:
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  Weiterlesen…
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Gattung/Form: Electronic books
Problems and exercises
Textbooks
Problems, exercises, etc
Physisches Format Print version:
Lorenz, Falko.
Algebra. Vol. 2, Fields with structure, algebras, and advanced topics.
New York : Springer, ©2008
(DLC)cis00003089
Medientyp: Dokument, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: Falko Lorenz; Silvio Levy
ISBN: 9780387724881 0387724885
OCLC-Nummer: 308295908
Beschreibung: 1 online resource (1 volume) : illustrations.
Inhalt: 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
Serientitel: Universitext.
Andere Titel Einführung in die Algebra.
Fields with structure, algebras, and advanced topics
Verfasserangabe: Falko Lorenz ; with the collaboration of the translator, Silvio Levy.
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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  Weiterlesen…

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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 Weiterlesen…

 
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