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Field theory

By Steven Roman

Abstract

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. This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students.  The exercises have also been i

Topics: Mathematical Physics and Mathematics
Publisher: Springer
Year: 2006
DOI identifier: 10.1007/0-387-27678-5
OAI identifier: oai:cds.cern.ch:903315
Provided by: CERN Document Server
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