Author(s)

Bibliographic Information

Field theory

Steven Roman

(Graduate texts in mathematics, 158)

Springer-Verlag, c1995

  • : pbk

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Note

Includes bibliographical references (p. [265]-266) and indexes

Description and Table of Contents

Volume

ISBN 9780387944074

Description

Intended as a course of independent study for graduate students, this text presents the basic theory of fields. It begins with a discussion of polynomials over a ring, the division algorithm, field extensions and embeddings. There is also treatment of Galois theory and binomials.
Volume

: pbk ISBN 9780387944081

Description

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.

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