ENGLISH

Galois Theory Through Exercises

By Juliusz Brzezinski

Book information

Publisher
Springer International Publishing
Year
2018
ISBN
9783319723266
Language
english
Format
EPUB
Filesize
10 MB (10806050 bytes)
Series
Springer Undergraduate Mathematics Series
Pages
288\0
Topic
Mathematics Algebra
Scanned
no
Time added
2024-12-30 10:00:49
abstract algebraGaloisGalois TheoryGroup theory

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.

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