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Topics in field theory

Author: Gregory Karpilovsky
Publisher: Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1989.
Series: North-Holland mathematics studies, 155.; Notas de matemática (Rio de Janeiro, Brazil), no. 124.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Karpilovsky, Gregory, 1940-
Topics in field theory.
Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1989
(DLC) 88038469
(OCoLC)18878064
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gregory Karpilovsky
ISBN: 9780444872975 0444872973 9780080872667 0080872662 1281790516 9781281790514
OCLC Number: 316553003
Description: 1 online resource (xi, 546 pages).
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.
Series Title: North-Holland mathematics studies, 155.; Notas de matemática (Rio de Janeiro, Brazil), no. 124.
Responsibility: Gregory Karpilovsky.

Abstract:

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 material of interest.

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