The Geometry of Numbers: 41 (Anneli Lax New Mathematical Library, Series Number 41) - Softcover

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

Softcover

ISBN 10: 0883856433 ISBN 13: 9780883856437

Publisher: The Mathematical Association of America, 2001

Synopsis

A self-contained introduction to the geometry of numbers.

About this title

Book Description

This is a self-contained introduction to the geometry of numbers. The authors gradually leads up to the theorems of Minkowski and others who succeeded him, and demonstrates how this powerful approach gives insight in a wide range of problems.

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.

Edition details

• Publisher: The Mathematical Association of America
• Publication date: 2001
• Language: English
• ISBN 10: 0883856433
• ISBN 13: 9780883856437
• Binding: Paperback
• Number of pages: 192