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Algebra: Polynomials, Galois Theory and Applications

Algebra: Polynomials, Galois Theory and Applications


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About the Book

Suitable for advanced undergraduates and graduate students in mathematics and computer science, this precise, self-contained treatment of Galois theory features detailed proofs and complete solutions to exercises. Originally published in French as Algèbre -- Polynômes, théorie de Galois et applications informatiques, this 2017 Dover Aurora edition marks the volume's first English-language publication.
The three-part treatment begins by providing the essential introduction to Galois theory. The second part is devoted to the algebraic, normal, and separable Galois extensions that constitute the center of the theory and examines abelian, cyclic, cyclotomic, and radical extensions. This section enables readers to acquire a comprehensive understanding of the Galois group of a polynomial. The third part deals with applications of Galois theory, including excellent discussions of several important real-world applications of these ideas, including cryptography and error-control coding theory. Symbolic computation via the Maple computer algebra system is incorporated throughout the text (though other software of symbolic computation could be used as well), along with a large number of very interesting exercises with full solutions.


About the Author: Frédéric Butin is a Professor of Mathematics at France's University of Lyon.


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Product Details
  • ISBN-13: 9780486810157
  • Publisher: Dover Publications
  • Publisher Imprint: Dover Publications
  • Height: 226 mm
  • No of Pages: 288
  • Series Title: Aurora: Dover Modern Math Originals
  • Weight: 480 gr
  • ISBN-10: 0486810151
  • Publisher Date: 15 Feb 2017
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 18 mm
  • Width: 150 mm


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