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

Lax, Anneli

ISBN 10: 0883856433 / ISBN 13: 9780883856437

Published by Mathematical Association of America (MAA), 2001

About this Item

Seller Inventory # 63V66_43_0883856433

Bibliographic Details

• Title: The Geometry of Numbers (Anneli Lax New Mathematical Library, Series Number 41)
• Publisher: Mathematical Association of America (MAA)
• Publication Date: 2001
• Language: English
• ISBN 10: 0883856433
• ISBN 13: 9780883856437
• Binding: Soft cover
• Condition: new

About this title

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.

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.