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Galois Theory

BuchKartoniert, Paperback
212 Seiten
Englisch
Springererschienen am21.11.20082nd ed.
This is a textbook on Galois theory. Galois theory has a well-deserved re- tation as one of the most beautiful subjects in mathematics. In this chapter we give a number of examples in Galois theory, even before our terms have been properly de?ned. We develop ?eld theory, with our goal being the Fundamental Theorem of Galois Theory (the FTGT).mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR45,96
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Produkt

KlappentextThis is a textbook on Galois theory. Galois theory has a well-deserved re- tation as one of the most beautiful subjects in mathematics. In this chapter we give a number of examples in Galois theory, even before our terms have been properly de?ned. We develop ?eld theory, with our goal being the Fundamental Theorem of Galois Theory (the FTGT).
ZusammenfassungThe new edition of this text on classical Galois Theory approaches the theory from the linear algebra point of view, following Artin. It also presents a number of applications of the theory and an expanded chapter on transcendental extensions.
Details
ISBN/GTIN978-0-387-87574-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2008
Erscheinungsdatum21.11.2008
Auflage2nd ed.
ReiheUniversitext
Seiten212 Seiten
SpracheEnglisch
Gewicht366 g
IllustrationenXIV, 212 p.
Artikel-Nr.12035494

Inhalt/Kritik

Inhaltsverzeichnis
to Galois Theory.- Field Theory and Galois Theory.- Development and Applications of Galois Theory.- Extensions of the Field of Rational Numbers.- Further Topics in Field Theory.- Transcendental Extensions.mehr
Kritik
From the reviews:

"The text offers the standard material of classical field theory and Galois theory, though in a remarkably original, unconventional and comprehensive manner ... . the book under review must be seen as a highly welcome and valuable complement to existing textbook literature ... . It comes with its own features and advantages ... it surely is a perfect introduction to this evergreen subject. The numerous explaining remarks, hints, examples and applications are particularly commendable ... just as the outstanding clarity and fullness of the text." (Werner Kleinert, Zentralblatt MATH, Vol. 1089 (15), 2006)

From the reviews of the second edition:

"The book is a valuable reference, covering many more topics than most of the standard books on the subject." (Mowaffaq Hajja, Zentralblatt MATH, Vol. 1195, 2010)mehr