Field theory
By: Steven Roman.
Series: Graduate texts in mathematics ;; 158
Publisher: Springer-Verlag
Published: 1995
Place of publication: New York
Language: eng
Number of pages: 272
Subjects: Algebraic fields; Galois theory; Polynomials
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.
Notes: Includes bibliographical references (p. [265]-266) and indexes.