Introduction to Galois Theory
Hernandez, David, Laszlo, Yves
Produktnummer:
18a53c9121d3724b5cbbbc79ae75a8f55e
Autor: | Hernandez, David Laszlo, Yves |
---|---|
Themengebiete: | Galois correspondence cyclotomic fields field extensions finite fields perfect fields reduction modulo p ring theory ruler and compass constructions solvability by radicals textbook on Galois theory |
Veröffentlichungsdatum: | 29.10.2024 |
EAN: | 9783031661815 |
Sprache: | Englisch |
Seitenzahl: | 193 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Produktinformationen "Introduction to Galois Theory"
This textbook provides an undergraduate introduction to Galois theory and its most notable applications.Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a substantial part of modern algebra and has since undergone considerable development. It remains an extremely active research subject and has found numerous applications beyond pure mathematics. In this book, the authors introduce Galois theory from a contemporary point of view. In particular, modern methods such as reduction modulo prime numbers and finite fields are introduced and put to use. Beyond the usual applications of ruler and compass constructions and solvability by radicals, the book also includes topics such as the transcendence of e and p, the inverse Galois problem, and infinite Galois theory.Based on courses of the authors at the École Polytechnique, the book is aimed at students with a standard undergraduate background in (mostly linear) algebra. It includes a collection of exam questions in the form of review exercises, with detailed solutions.

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