Description
This book, originally published in 1984, aims to make the theory of field extensions understandable to readers with a basic understanding of groups, rings, and vector spaces. Galois theory, considered a central and aesthetically pleasing part of algebra, was the result of years of research on the solvability of polynomial equations by radicals.
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.
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