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 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 lar…
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- Full title :Topics in field theory / Gregory Karpilovsky.
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 material of interest.
Read More ↓Edition Statements
- Publication Date:1989.
Publication Statements
- Publisher(s):North-Holland, Sole distributors for the USA and Canada, Elsevier Science Pub. Co
- Place of Publication:Amsterdam
- Language:eng
- Publication Date:1989.
The Physical Object
- Description:1 online resource (xi, 546 pages)
Edition Identifiers
- ISBN:9780444872975, 0444872973, 9780080872667, 0080872662, 1281790516, 9781281790514
- oclc:ocn316553003
- LC Classification:QA247
- Dewey Decimal:510
Table of 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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