By Frédéric Butin
Suitable for complicated undergraduates and graduate scholars in arithmetic and computing device technology, this distinctive, self-contained remedy of Galois thought positive factors specified proofs and entire suggestions to routines. initially released in French as Algèbre — Polynômes, théorie de Galois et functions informatiques, this 2017 Dover Aurora version marks the volume's first English-language publication.
The three-part remedy starts by way of offering the fundamental advent to Galois concept. the second one half is dedicated to the algebraic, common, and separable Galois extensions that represent the guts of the speculation and examines abelian, cyclic, cyclotomic, and radical extensions. This part permits readers to procure a finished figuring out of the Galois crew of a polynomial. The 3rd half bargains with purposes of Galois conception, together with very good discussions of a number of vital real-world functions of those rules, together with cryptography and error-control coding conception. Symbolic computation through the Maple laptop algebra procedure is included through the textual content (though different software program of symbolic computation can be used as well), in addition to plenty of very fascinating workouts with complete solutions.
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Additional resources for Algebra: Polynomials, Galois Theory and Applications (Aurora: Dover Modern Math Originals)
Algebra: Polynomials, Galois Theory and Applications (Aurora: Dover Modern Math Originals) by Frédéric Butin