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 ...

Field Theory 2011, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441920959

2nd edition 2006


Field Theory 2005, Springer, New York, NY

ISBN-13: 9780387276779

2nd edition