Fields and Galois theory / John M. Howie
Tipo de material: TextoDetalles de publicación: London : Springer, 2006 Descripción: X, 227 p. ; 24 cmISBN: 9781852339869Tema(s): Galois, Teoría de | Cuerpos algebraicosResumen: The pioneering work of Abel and Galois in the early nineteenth century demonstrated that the long-standing quest for a solution of quintic equations by radicals was fruitless: no formula can be found. The techniques they used were, in the end, more important than the resolution of a somewhat esoteric problem, for they were the genesis of modern abstract algebra.This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic by radicals is linked to the fact that the alternating group of degree 5 is simple - which is assuredly not the way Galois would have expressed the connection.Topics covered include:rings and fieldsintegral domains and polynomialsfield extensions and splitting fieldsapplications to geometryfinite fieldsthe Galois groupequations Group theory features in many of the arguments, and is fully explained in the text. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided.Tipo de ítem | Biblioteca de origen | Signatura | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems |
---|---|---|---|---|---|---|
Manuales | 02. BIBLIOTECA CAMPUS PUERTO REAL | 512.623/HOW/fie (Navegar estantería(Abre debajo)) | Disponible Ubicación en estantería | Bibliomaps® | 3744306789 | ||
Manuales | 02. BIBLIOTECA CAMPUS PUERTO REAL | 512.623/HOW/fie (Navegar estantería(Abre debajo)) | Disponible Ubicación en estantería | Bibliomaps® | 3744306798 |
Navegando 02. BIBLIOTECA CAMPUS PUERTO REAL Estantes Cerrar el navegador de estanterías (Oculta el navegador de estanterías)
|
|
|
|
|
|
|
||
512.623/BAS/fie Field extensions and Galois theory / Julio R. Bastida ; with a foreword by Roger Lyndon. | 512.623/HOW/fie Fields and Galois theory / John M. Howie. | 512.623/HOW/fie Fields and Galois theory / John M. Howie | 512.623/HOW/fie Fields and Galois theory / John M. Howie | 512.623/SWA/exp Exploratory Galois theory / John Swallow. | 512.623/SWA/exp Exploratory Galois theory / John Swallow. | 512.623/SWA/exp Exploratory Galois theory / John Swallow. |
Índice
Bibliografía: p. [219]
The pioneering work of Abel and Galois in the early nineteenth century demonstrated that the long-standing quest for a solution of quintic equations by radicals was fruitless: no formula can be found. The techniques they used were, in the end, more important than the resolution of a somewhat esoteric problem, for they were the genesis of modern abstract algebra.This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic by radicals is linked to the fact that the alternating group of degree 5 is simple - which is assuredly not the way Galois would have expressed the connection.Topics covered include:rings and fieldsintegral domains and polynomialsfield extensions and splitting fieldsapplications to geometryfinite fieldsthe Galois groupequations Group theory features in many of the arguments, and is fully explained in the text. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided.
No hay comentarios en este titulo.