Articles liés à Bilinear Algebra: An Introduction to the Algebraic...

Bilinear Algebra: An Introduction to the Algebraic Theory of Quadraic Forms (7) - Couverture rigide

Livre 4 sur 11: Algebra, Logic and Applications

Szymiczek, Kazimierz

 
9789056990763: Bilinear Algebra: An Introduction to the Algebraic Theory of Quadraic Forms (7)
Couverture rigide
ISBN 10 : 9056990764 ISBN 13 : 9789056990763
Editeur : Taylor & Francis Ltd, 1997

Synopsis

Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms.
Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Kazimierz Szymiczek

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Taylor & Francis Ltd
Date d'édition
1997
Langue
anglais
ISBN 10 
9056990764
ISBN 13 
9789056990763
Reliure
Relié
Nombre de pages
486
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Allemagne