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Field theory

Author: Steven Roman
Publisher: New York, N.Y. : Springer, ©2006.
Series: Graduate texts in mathematics, 158.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Summary:
"This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for e 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."--Jacket.
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Genre/Form: Electronic books
Textbooks
Additional Physical Format: Print version:
Roman, Steven.
Field theory.
New York, N.Y. : Springer, ©2006
(DLC) 2005932166
(OCoLC)62395849
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Steven Roman
ISBN: 9780387276786 0387276785 0387276777 9780387276779
OCLC Number: 262690989
Language Note: English.
Description: 1 online resource (xii, 332 pages).
Contents: Preface --
Preliminaries --
Polynomials --
Field Extensions --
Algebraic Independence --
Separability --
Galois Theory I --
Galois Theory II --
A Field Extension as a Vector Space --
Finite Fields I: Basic Properties --
Finite Fields II: Additional Properties --
The Roots of Unity --
Cyclic Extensions --
Solvable Extensions --
Binomials --
Families of Binomials --
Mobius Inversion --
References --
Index of Symbols --
Index.
Series Title: Graduate texts in mathematics, 158.
Responsibility: Steven Roman.
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Abstract:

"Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the  Read more...

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