This study book on Galois Theory, written by Joseph Rotman, offers a clear and well-structured approach to the subject. It focuses on explaining the fundamental theorem of Galois and the underlying concepts. This edition includes improved and expanded explanations and helps students understand complex algebraic structures.
Description
This revision builds on the first edition by rewriting all texts for greater clarity and detail. The book begins with an introduction to the symmetry groups of polygons, which serves as an illustrative analogy for polynomials and their Galois groups, and thus helps to structure definitions and constructions. The treatment of solvability by means of radicals has been moved to a later chapter, making the proofs, such as those of the fundamental theorem and the Abel-Ruffini theorem, more manageable. In addition, new theorems, including the Casus Irreducibilis, have been added.
Product specifications
- Author: Joseph Rotman
- Series: Universitext
- Publisher: Springer-Verlag New York Inc.
- Publication date: 1998-10-01
- Number of pages: 176
- ISBN: 9780387985411
- Subject: Groups and group theory
- BISAC: MATHEMATICS / Group Theory