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Field Theory

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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.

Author(s): Steven Roman
Series: Graduate Texts in Mathematics 158
Edition: 1
Publisher: Springer
Year: 1994

Language: English
Pages: 330