Brzezinski Juliusz - Galois Theory Through Exercises - Paperback

Binding: Paperback
Description: This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer - assisted exercises). In addition to covering standard material the book explores topics related to classical problems such as Galois theorem on solvable groups of polynomial equations of prime degrees Nagell's proof of non - solvability by radicals of quintic equations Tschirnhausen's transformations lunes of Hippocrates and Galois resolvents. Topics related to open conjectures are also discussed including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems historical comments and useful references alongside the exercises providing readers with a well - rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self - study.
Title: Galois Theory Through Exercises
Author(s): Brzezinski Juliusz
Publisher: Springer International Publishing Ag
Barcode: 9783319723259
Pages: 293 Pages, 12 Illustrations, Black And White; Xvii, 293 P. 12 Illus.
Publication Date: 4/3/2018
Series: Springer Undergraduate Mathematics Series
Category: Algebraic Geometry