Not that good
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Emil Artin was a famous algebraist and this work was once the canonical textbook on Galois theory.
This said, today there is no reason one should study Galois theory using this unless you have some special reason (historical interest, say.) There are more modern, easy-to-read, and elgant accounts on the subject either in book form or on the Web.
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The modern approach to the theory
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It is a clasical work. This is the best word that can be said about a mathematical book, and 'Galois Theory' fullfils it totally. One of the autors, Artin, is the responsible for the modern approach to this beautiful theme, and the book, with clarity, brevity and elegance, not only describes the basics of the Galois theory, offers a glimpse of pure mathematics joy.
Of course, it's not a facile way to read and understand the book unless you are mathematician, but people with undergradute good algebra can afford the travel. The prize is a historical one, to understand why there is no general formula for equations of one variable of dregree greater than 5...
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