Field theory /

Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third...

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Bibliographic Details
Main Author: Roman, Steven
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1995]
Series:Graduate texts in mathematics ; 158.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory.
Physical Description:1 online resource (xii, 272 pages) : illustrations.
Bibliography:Includes bibliographical references (pages [265]-266) and indexes.
ISBN:9781461225164 (electronic bk.)
1461225167 (electronic bk.)