Galois Theory
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Beschreibung
This book offers the fundamentals of Galois Theory, including a set of copious, well-chosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of Galois. Computed examples, recent developments, and extensions of results into other related areas round out the presentation.
Preliminary Text. Do not use. This book consists of 16 short chapters on Galois Theory in which a limited amount of text introduces the mathematics, followed by a set of copious, well-chosen exercises. These exercises form an important part of the presentation, offering in turn computed examples and extensions of results into other area.
Autor*in
L. Schneps
Themen in »Galois Theory«
Galois group Galois theory algebra field finite field homomorphism
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J.-P. Escofier
Galois Theory
"Escofier’s treatment, at a level suitable for advanced, senior undergraduates or first-year graduate students, centers on finite extensions of number fields, incorporating numerous examples and leaving aside finite fields and the entire concept of separability for the final chapters . . . copious, well-chosen exercises . . . are presented with their solutions . . . The prose is . . . spare and enthusiastic, and the proofs are both instructive and efficient . . . Escofier has written an excellent text, offering a relatively elementary introduction to a beautiful subject in a book sufficiently broad to present a contemporary viewpoint and intuition but sufficiently restrained so as not to overwhelm the reader."—AMERICAN MATHEMATICAL SOCIETY
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