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From the publisher
From the rear cover
This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course in abstract algebra, not so much for the material it contains but in order to gain a certain level of mathematical maturity.
For this new edition, the author has rewritten the text based on his experiences teaching from the first edition. There are new exercises, a new chapter on Galois theory from an historical perspective, and additional topics sprinkled throughout the text, including a proof of the Fundamental Theorem of Algebra, a discussion of casus irreducibilis, Berlekamp's algorithm for factoring polynomials over Zp and natural and accessory irrationalities.
From the reviews of the first edition:
The book is written in a clear and explanatory style...the book is recommended for a graduate course in field theory as well as for independent study.
- T. Albu, Mathematical Reviews
...[the author] does an excellent job of stressing the key ideas. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study.
- J.N.Mordeson, Zentralblatt
Details
- Title Field Theory
- Author Steven Roman
- Binding Paperback
- Edition 2nd ed. 2006
- Pages 335
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2011-09-17
- ISBN 9781441920959 / 1441920951
- Weight 1.07 lbs (0.49 kg)
- Dimensions 9.21 x 6.14 x 0.72 in (23.39 x 15.60 x 1.83 cm)
- Dewey Decimal Code 512.3
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