The Geometry of Numbers - Couverture souple

Olds, C. D.; Lax, Anneli; Davidoff, Giuliana P.

 
9780883856437: The Geometry of Numbers
Couverture souple
ISBN 10 : 0883856433 ISBN 13 : 9780883856437
Editeur : The Mathematical Association of America, 2001

Synopsis

This is a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice points on lines, circles and inside simple polygons in the plane. A minimum of mathematical expertise is required beyond an acquaintance with elementary geometry. The authors gradually lead up to the theorems of Minkowski and others who succeeded him. On the way the reader will see how this powerful approach gives improved approximations to irrational numbers by rationals, simplifies arguments on ways of representing integers as sums of squares, and provides a natural tool for attacking problems involving dense packings of spheres.

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

Présentation de l'éditeur

This is a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice points on lines, circles and inside simple polygons in the plane. A minimum of mathematical expertise is required beyond an acquaintance with elementary geometry. The authors gradually lead up to the theorems of Minkowski and others who succeeded him. On the way the reader will see how this powerful approach gives improved approximations to irrational numbers by rationals, simplifies arguments on ways of representing integers as sums of squares, and provides a natural tool for attacking problems involving dense packings of spheres.

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

Éditeur
The Mathematical Association of America
Date d'édition
2001
Langue
anglais
ISBN 10 
0883856433
ISBN 13 
9780883856437
Reliure
Broché
Nombre de pages
192
Coordonnées du fabricant
non disponible
Personne responsable
non disponible