By Frédéric Butin
Suitable for complicated undergraduates and graduate scholars in arithmetic and computing device technological know-how, this specific, self-contained remedy of Galois conception positive aspects precise proofs and entire options to routines. initially released in French as Algèbre — Polynômes, théorie de Galois et functions informatiques, this 2017 Dover Aurora variation marks the volume's first English-language publication.
The three-part therapy starts off by way of offering the fundamental advent to Galois idea. 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 realizing of the Galois crew of a polynomial. The 3rd half offers with functions of Galois thought, together with very good discussions of a number of vital real-world purposes of those rules, together with cryptography and error-control coding thought. Symbolic computation through the Maple computing device algebra approach is included through the textual content (though different software program of symbolic computation will be used as well), in addition to a great number of very attention-grabbing workouts with complete solutions.
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Additional info 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