Introduction to Galois Theory by David Hernandez, Yves Laszlo - 9783031661815

Springer International Publishing AG

Introduction to Galois TheoryAuthor(s): David Hernandez, Yves Laszlo\nFormat: Paperback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783031661815, 978-3031661815\nSynopsis\nThis textbook provides an undergraduate introduction to Galois theory and its most notable applications.\n\nGalois 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 i.