This text offers an exposition of Galois theory with exercises and complete proofs. Topics include Cardano's formulas, the fundamental theorem, Galois' great theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois group), and computation of Galois groups of cubics and quartics. There are appendices on group theory and ruler-compass constructions. Developed on the basis of a graduate algebra course, following a course on group theory, this book will provide a concise introduction to Galois theory suitable for graduate students, either as a text for a course or for study outside the classroom.
- ISBN10 3540973052
- ISBN13 9783540973058
- Publish Date August 1990
- Publish Status Out of Print
- Out of Print 23 March 2008
- Publish Country DE
- Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Format Paperback
- Pages 120
- Language English