Field extensions and Galois theory
Author(s)
Bibliographic Information
Field extensions and Galois theory
(Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 22 . Section,
Addison-Wesley, Advanced Book Program , Cambridge University Press, 1984
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Available at / 92 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: usS||EMA||2284012862
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc19:512.32/b2962021243238
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Note
Bibliography: p. 281-290
Includes index
Description and Table of Contents
Description
Originally published in 1984, the principal objective of this book is to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois theory is generally regarded as one of the central and most beautiful parts of algebra and its creation marked the culmination of investigations by generations of mathematicians on one of the oldest problems in algebra, the solvability of polynomial equations by radicals.
Table of Contents
- Editor's statement
- Section editor's foreword
- Preface
- Historical introduction
- Prerequisites
- Notation
- 1. Preliminaries on fields and polynomials
- 2. Algebraic extensions
- 3. Galois theory
- 4. Transcendental Extensions
- References and selected bibliography
- Index.
by "Nielsen BookData"