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Field Theory
Paperback
Series: Graduate Texts in Mathematics, Book 158
ISBN13: 9781441920959
Publisher: Springer
Published: Sep 17 2011
Pages: 335
Weight: 1.07
Height: 0.72 Width: 6.14 Depth: 9.21
Language: English
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 improved and a new chapter on ordered fields has been included.
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