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Topics in field theory /

This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods. Avoiding excessive technical detail, the book is intended for the student who has completed the equivalent of a standard first-year gr...

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Bibliographic Details
Main Authors: Karpilovsky, Gregory, 1940
Corporate Authors: Elsevier Science & Technology
Published: North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
Publisher Address: Amsterdam ; New York : New York, N.Y., U.S.A. :
Publication Dates: 1989.
Literature type: eBook
Language: English
Series: North-Holland mathematics studies ; 155
Notas de matema tica ; 124
Subjects:
Algebraic fields
Corps alge briques
MATHEMATICS > Number Theory
Algebraic number fields
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/03040208/155
Summary: This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods. Avoiding excessive technical detail, the book is intended for the student who has completed the equivalent of a standard first-year graduate algebra course. Thus it is assumed that the reader is familiar with basic ring-theoretic and group-theoretic concepts. A chapter on algebraic preliminaries is included, as well as a fairly large bibliography of works which are either directly relevant to the text or offer supplementary mate
Carrier Form: 1 online resource (xi, 546 pages).
Bibliography: Includes bibliographical references (pages 477-533) and index.
ISBN: 9780444872975
0444872973
9780080872667
0080872662
1281790516
9781281790514
Index Number: QA1
CLC: O153.4
Contents: Front Cover; Topics in Field Theory; Copyright Page; Preface; Contents; CHAPTER 1. ALGEBRAIC PRELIMINARIES; CHAPTER 2. SEPARABLE ALGEBRAIC EXTENSIONS; CHAPTER 3. TRANSCENDENTAL EXTENSIONS; CHAPTER 4. DERIVATIONS; CHAPTER 5. PURELY INSEPARABLE EXTENSIONS; CHAPTER 6. GALOIS THEORY; CHAPTER 7. ABELIAN EXTENSIONS; CHAPTER 8. RADICAL EXTENSIONS; Bibliography; Notation; Index.

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