Description |
xxv, 226 pages ; 22 cm |
Series |
Chapman and Hall mathematics series |
|
Chapman and Hall mathematics series.
|
Contents |
Historical introduction -- The life of Galois -- Glossary of symbols -- Background -- Factorization of polynomials -- Field extensions -- The degree of an extension -- Ruler and compasses -- Transcendental numbers -- The idea behind Galois theory -- Normality and separability -- Field degrees and group orders -- Monomorphisms, automorphisms, and normal closures -- The Galois correspondence -- A specific example -- Some group theory -- Solution of equations by radicals -- The general polynomial equation -- Finite fields -- Regular polygons -- The 'fundamental theorem of algebra' -- Later developments |
Notes |
Includes index |
Bibliography |
Includes bibliographical references (pages 219-222) |
Subject |
Galois theory.
|
LC no. |
73162709 |
ISBN |
0412108003 |
|
9780412108006 |
|