Galois Theory Through Exercises
Bok, 2018
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.
Field extension
Normal extension
Galois extension
Solvable equation
Separable extension
Galois group
Författare
Juliusz Brzezinski
Chalmers, Matematiska vetenskaper
Göteborgs universitet
Ämneskategorier
Algebra och logik
DOI
10.1007/978-3-319-72326-6
ISBN
978-3-319-72325-9
Utgivare
Springer