Download Algebra: Polynomials, Galois Theory and Applications by Frédéric Butin PDF

By Frédéric Butin

Suitable for complicated undergraduates and graduate scholars in arithmetic and computing device technology, this distinctive, self-contained remedy of Galois idea beneficial properties designated proofs and whole ideas to workouts. 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 remedy starts through offering the fundamental advent to Galois conception. the second one half is dedicated to the algebraic, general, and separable Galois extensions that represent the guts of the idea and examines abelian, cyclic, cyclotomic, and radical extensions. This part permits readers to procure a finished knowing of the Galois crew of a polynomial. The 3rd half bargains with functions of Galois concept, together with very good discussions of numerous vital real-world functions of those rules, together with cryptography and error-control coding idea. Symbolic computation through the Maple computing device algebra approach is included through the textual content (though different software program of symbolic computation should be used as well), besides a number of very fascinating workouts with complete solutions.

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