Field Extensions and Galois Theory: 22 (Encyclopedia of Mathematics and its Applications, Series Number 22)

Julio R. Bastida
Cambridge University Press
Edition: Illustrated, 2/14/1985
EAN 9780521302425, ISBN10: 0521302420

Hardcover, 350 pages, 23.4 x 15.6 x 2.1 cm
Language: English

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.

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.