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A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.
In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.
A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.
In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.
| Erscheinungsjahr: | 2015 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 326 |
| ISBN-13: | 9789814704694 |
| ISBN-10: | 9814704695 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Jean-Pierre Tignol |
| Hersteller: | World Scientific |
| Maße: | 235 x 157 x 22 mm |
| Von/Mit: | Jean-Pierre Tignol |
| Erscheinungsdatum: | 28.12.2015 |
| Gewicht: | 0,626 kg |
| Erscheinungsjahr: | 2015 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 326 |
| ISBN-13: | 9789814704694 |
| ISBN-10: | 9814704695 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Jean-Pierre Tignol |
| Hersteller: | World Scientific |
| Maße: | 235 x 157 x 22 mm |
| Von/Mit: | Jean-Pierre Tignol |
| Erscheinungsdatum: | 28.12.2015 |
| Gewicht: | 0,626 kg |
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