Elementary Galois Theory by Marc Nieper-Wikirchen - 9783662666425

Elementary Galois TheoryA Constructive Approach\nAuthor(s): Marc Nieper-Wikirchen\nFormat: Paperback\nPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany\nImprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K\nISBN-13: 9783662666425, 978-3662666425\nSynopsis\nWhy is the squaring of the circle, why is the division of angles with compass and ruler impossible? Why are there general solution formulas for polynomial equations of degree 2, 3 and 4, but not for degree 5 or higher?\n\nThis textbook deals with such classical questions in an elementary way in the context of Galois theory. It thus provides a classical introduction and at the same time deals with applications. The point of view of a constructive mathematician is consistently adopted: To prove the existence of a mathematical object, an algorithmic construction of that object is always given. Some statements are therefore formulated somewhat more cautiously than is classically customary; some proo.